{"id":2226,"date":"2026-09-19T06:00:00","date_gmt":"2026-09-19T00:30:00","guid":{"rendered":"https:\/\/digitoolkit.in\/blog\/?p=2226"},"modified":"2026-09-15T10:29:50","modified_gmt":"2026-09-15T04:59:50","slug":"how-to-find-prime-factorization-step-by-step","status":"publish","type":"post","link":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/","title":{"rendered":"How to Find Prime Factorization (Step by Step) &#8211; India"},"content":{"rendered":"<div style='background:#f2f7fb;border-left:4px solid #2271b1;padding:16px 20px;margin:0 0 24px;border-radius:4px;'>\n<p><strong>Quick Answer:<\/strong> To find the prime factorization of a number, divide it repeatedly by the smallest prime that fits (2, then 3, 5, 7, and so on) until you are left with 1, then write the number as the product of those primes. For example, 60 = 2 &times; 2 &times; 3 &times; 5, or 2&sup2; &times; 3 &times; 5. This method, taught in NCERT Class 6 and used in Class 10 under the Fundamental Theorem of Arithmetic, gives one unique set of prime factors for every number.<\/p>\n<p><strong>Key takeaways:<\/strong><\/p>\n<ul>\n<li>Prime factorization expresses a number as a product of prime numbers only.<\/li>\n<li>The division method divides by the smallest prime repeatedly until you reach 1.<\/li>\n<li>The factor-tree method breaks a number into factors until every branch is prime.<\/li>\n<li>By the Fundamental Theorem of Arithmetic, this set of primes is unique for each number.<\/li>\n<li>It is the basis for finding HCF, LCM, and simplifying fractions in CBSE maths.<\/li>\n<\/ul>\n<\/div>\n<p>Prime factorization is one of the first big ideas in Indian school mathematics, appearing in the NCERT Class 6 chapter Playing with Numbers and returning in Class 10 as the Fundamental Theorem of Arithmetic. It is the foundation for finding the highest common factor (HCF), the lowest common multiple (LCM), simplifying fractions, and even modern cryptography. This guide shows you exactly how to find the prime factorization of any number, step by step, with worked examples suited to CBSE and state-board students.<\/p>\n<p>For instant answers you can use a free <a href='https:\/\/digitoolkit.in\/calculators\/prime-factorization-calculator\/'>prime factorization calculator<\/a>, but learning the method is essential for board exams where you must show your working.<\/p>\n<blockquote>\n<p><strong>Key takeaway:<\/strong> Every whole number greater than 1 is either a prime or can be written as a unique product of primes. Finding that product is what prime factorization means.<\/p>\n<\/blockquote>\n<h2>What Are Prime Numbers?<\/h2>\n<p>A prime number is a whole number greater than 1 that has exactly two factors: 1 and itself. The first few primes are 2, 3, 5, 7, 11, 13, 17, and 19. Numbers that are not prime, like 4, 6, 8, and 9, are called composite because they can be broken down into smaller factors. Prime factorization is the process of finding which primes multiply together to make a given composite number.<\/p>\n<h2>Method 1: The Division Method<\/h2>\n<p>The division method is the most reliable and is preferred in exams. Follow these steps.<\/p>\n<ol>\n<li><strong>Start with the smallest prime, 2.<\/strong> If the number is even, divide by 2.<\/li>\n<li><strong>Keep dividing by 2<\/strong> until the result is no longer even.<\/li>\n<li><strong>Move to the next prime, 3,<\/strong> and divide as many times as possible.<\/li>\n<li><strong>Continue with 5, 7, 11,<\/strong> and so on, using each prime fully before moving on.<\/li>\n<li><strong>Stop when you reach 1.<\/strong> The divisors you used are the prime factors.<\/li>\n<\/ol>\n<p>For 60: 60 &divide; 2 = 30, 30 &divide; 2 = 15, 15 &divide; 3 = 5, 5 &divide; 5 = 1. So 60 = 2 &times; 2 &times; 3 &times; 5 = 2&sup2; &times; 3 &times; 5.<\/p>\n<h2>Method 2: The Factor Tree<\/h2>\n<p>The factor tree is a visual approach many students find intuitive. Write the number, split it into any two factors, then keep splitting each branch until every end is a prime. For 84, you might write 84 = 4 &times; 21, then 4 = 2 &times; 2 and 21 = 3 &times; 7, giving 84 = 2 &times; 2 &times; 3 &times; 7 = 2&sup2; &times; 3 &times; 7. No matter which factors you start with, the final set of primes is always the same, which is the Fundamental Theorem of Arithmetic in action.<\/p>\n<h2>Worked Example: Factorising 360<\/h2>\n<p>Take 360, a number common in geometry because a full circle has 360 degrees. Using the division method: 360 &divide; 2 = 180, 180 &divide; 2 = 90, 90 &divide; 2 = 45, 45 &divide; 3 = 15, 15 &divide; 3 = 5, 5 &divide; 5 = 1. So 360 = 2 &times; 2 &times; 2 &times; 3 &times; 3 &times; 5 = 2&sup3; &times; 3&sup2; &times; 5. Writing the answer in exponent form is neat and is expected in CBSE answer sheets.<\/p>\n<h2>Using Prime Factorization for HCF and LCM<\/h2>\n<p>Prime factorization is the standard NCERT method for HCF and LCM. For the HCF, take the lowest power of each common prime; for the LCM, take the highest power of every prime that appears. For 60 = 2&sup2; &times; 3 &times; 5 and 84 = 2&sup2; &times; 3 &times; 7, the HCF is 2&sup2; &times; 3 = 12 and the LCM is 2&sup2; &times; 3 &times; 5 &times; 7 = 420. A useful check taught in Class 10 is that HCF &times; LCM equals the product of the two numbers, and you can pair this idea with a <a href='https:\/\/digitoolkit.in\/calculators\/multiplication-calculator\/'>multiplication calculator<\/a> to verify quickly.<\/p>\n<h2>Common Divisibility Shortcuts<\/h2>\n<table>\n<thead>\n<tr>\n<th>Divisible by<\/th>\n<th>Quick Test<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>2<\/td>\n<td>Last digit is even<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>Sum of digits is divisible by 3<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>Last digit is 0 or 5<\/td>\n<\/tr>\n<tr>\n<td>9<\/td>\n<td>Sum of digits is divisible by 9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>These divisibility rules speed up prime factorization by telling you instantly which small primes to try first.<\/p>\n<h2>Benefits of Prime Factorization<\/h2>\n<p>Prime factorization is a gateway skill in Indian mathematics. It underpins HCF and LCM, which appear in word problems about bells ringing together, tiles fitting a floor, and buses leaving at intervals. It simplifies fractions to their lowest terms and makes working with surds and rational numbers easier in higher classes. It even powers real-world encryption, since the difficulty of factorising very large numbers keeps online banking and UPI transactions secure.<\/p>\n<h2>Challenges and Limitations<\/h2>\n<p>For small numbers the method is quick, but very large numbers can be tedious to factorise by hand, which is exactly why calculators and computers exist. Students sometimes struggle to spot the right starting prime, or stop too early and leave a composite number in the answer. Care is also needed to write the final answer in exponent form and to include every repeated prime.<\/p>\n<h2>Common Mistakes to Avoid<\/h2>\n<ul>\n<li><strong>Leaving a composite in the answer.<\/strong> Keep dividing until every factor is prime.<\/li>\n<li><strong>Forgetting to repeat a prime.<\/strong> Write 2 as many times as it divides, not just once.<\/li>\n<li><strong>Starting with a large prime.<\/strong> Always begin with 2, then 3, 5, and so on.<\/li>\n<li><strong>Confusing factors with prime factors.<\/strong> 6 is a factor of 12 but is not prime; keep breaking it down.<\/li>\n<li><strong>Skipping exponent form.<\/strong> Boards expect answers like 2&sup3; &times; 3&sup2; &times; 5, not a long list.<\/li>\n<li><strong>Treating 1 as prime.<\/strong> The number 1 is neither prime nor composite.<\/li>\n<\/ul>\n<h2>Best Practices and Expert Recommendations<\/h2>\n<ul>\n<li><strong>Use divisibility rules first.<\/strong> They tell you which primes to try, saving time.<\/li>\n<li><strong>Work systematically upward.<\/strong> Exhaust each prime before moving to the next.<\/li>\n<li><strong>Write answers in exponent form.<\/strong> It is neat and expected in exams.<\/li>\n<li><strong>Double-check by multiplying back.<\/strong> The primes should multiply to the original number.<\/li>\n<li><strong>Practise the factor tree too.<\/strong> It helps visual learners and confirms the division method.<\/li>\n<li><strong>Use a calculator to verify.<\/strong> Check large factorisations quickly after doing them by hand.<\/li>\n<\/ul>\n<h2>Worked Example: A Word Problem<\/h2>\n<p>Prime factorization solves the classic NCERT-style question about events repeating together. Suppose two temple bells in Varanasi ring at intervals of 60 seconds and 84 seconds, and they ring together at 6:00 am. When will they next ring together? The answer is the LCM of 60 and 84. Factorising, 60 = 2&sup2; &times; 3 &times; 5 and 84 = 2&sup2; &times; 3 &times; 7, so the LCM takes the highest power of each prime: 2&sup2; &times; 3 &times; 5 &times; 7 = 420 seconds, which is 7 minutes. The bells next ring together at 6:07 am. The same logic answers questions about buses leaving a depot, traffic lights, and machines completing cycles, which is why prime factorization appears so often in exams and everyday scheduling.<\/p>\n<h2>Prime Factorization in Higher Classes<\/h2>\n<p>The skill does not stop at Class 10. In higher mathematics it helps simplify surds, prove that numbers like the square root of 2 are irrational, and understand modular arithmetic. In computer science and cryptography, the fact that multiplying two large primes is easy but factoring the result is extremely hard is the foundation of RSA encryption, which protects Indian digital payments and secure websites. Mastering prime factorization early therefore pays off well beyond the school syllabus.<\/p>\n<div data-dtk-related=\"1\" style=\"background:#f8f9fb;border:1px solid #e2e8f0;border-radius:6px;padding:16px 20px;margin:28px 0;\"><strong>Related tools &amp; guides on DigiToolkit<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/digitoolkit.in\/calculators\/prime-factorization-calculator\/\">Try the free Prime Factorization Calculator &rarr;<\/a><\/li>\n<li><a href=\"https:\/\/digitoolkit.in\/blog\/prime-factorization-method-explained-examples\/\">Prime Factorization Method Explained with Examples<\/a><\/li>\n<li><a href=\"https:\/\/digitoolkit.in\/blog\/what-is-prime-factorization-simple-guide\/\">What Is Prime Factorization? A Simple Guide<\/a><\/li>\n<li><a href=\"https:\/\/digitoolkit.in\/blog\/prime-factorization-calculator-online-tool-guide\/\">Prime Factorization Calculator: Free Online Tool + Guide<\/a><\/li>\n<li><a href=\"https:\/\/digitoolkit.in\/blog\/prime-factorization-examples-for-beginners\/\">Prime Factorization Examples for Beginners (With Steps)<\/a><\/li>\n<li><a href=\"https:\/\/digitoolkit.in\/blog\/linear-equation-examples-beginners\/\">Linear Equation Examples for Beginners (CBSE)<\/a><\/li>\n<li><a href=\"https:\/\/digitoolkit.in\/blog\/linear-equation-calculator-guide\/\">Linear Equation Calculator: Free Online Tool + Guide<\/a><\/li>\n<li><a href=\"https:\/\/digitoolkit.in\/blog\/category\/mathematics\/\">More Mathematics guides<\/a><\/li>\n<\/ul>\n<\/div>\n<h2>Frequently Asked Questions<\/h2>\n<p><strong>What is the prime factorization of 60?<\/strong><br \/>60 = 2 &times; 2 &times; 3 &times; 5, written neatly as 2&sup2; &times; 3 &times; 5. You reach it by dividing 60 by 2 twice, then by 3, then by 5, until you get 1.<\/p>\n<p><strong>What is the difference between the division method and factor tree?<\/strong><br \/>Both give the same prime factors. The division method divides by the smallest prime repeatedly, while the factor tree splits the number into any factors and keeps branching until all ends are prime. The division method is preferred in CBSE exams.<\/p>\n<p><strong>How is prime factorization used for HCF and LCM?<\/strong><br \/>For the HCF, multiply the lowest powers of the common primes; for the LCM, multiply the highest powers of all primes that appear. This is the standard NCERT Class 10 method.<\/p>\n<p><strong>Is 1 a prime number?<\/strong><br \/>No. The number 1 has only one factor, itself, so it is neither prime nor composite. Prime numbers must have exactly two distinct factors.<\/p>\n<p><strong>Why is prime factorization important?<\/strong><br \/>It is the foundation for HCF, LCM, simplifying fractions, and many exam word problems, and it underlies real-world encryption that secures online banking and UPI payments.<\/p>\n<p><script type='application\/ld+json'>{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"What is the prime factorization of 60?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"60 = 2 x 2 x 3 x 5, written as 2^2 x 3 x 5. You reach it by dividing 60 by 2 twice, then by 3, then by 5, until you get 1.\"}},{\"@type\":\"Question\",\"name\":\"What is the difference between the division method and factor tree?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Both give the same prime factors. The division method divides by the smallest prime repeatedly; the factor tree splits the number into any factors and keeps branching until all ends are prime. The division method is preferred in CBSE exams.\"}},{\"@type\":\"Question\",\"name\":\"How is prime factorization used for HCF and LCM?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"For the HCF, multiply the lowest powers of the common primes; for the LCM, multiply the highest powers of all primes that appear. This is the standard NCERT Class 10 method.\"}},{\"@type\":\"Question\",\"name\":\"Is 1 a prime number?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. The number 1 has only one factor, itself, so it is neither prime nor composite. Prime numbers must have exactly two distinct factors.\"}},{\"@type\":\"Question\",\"name\":\"Why is prime factorization important?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"It is the foundation for HCF, LCM, simplifying fractions, and many exam word problems, and it underlies real-world encryption that secures online banking and UPI payments.\"}}]}<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Learn how to find prime factorization using the division method and factor tree, with NCERT-style examples, HCF and LCM uses, and exam tips for CBSE students.<\/p>\n","protected":false},"author":1,"featured_media":2266,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"footnotes":""},"categories":[24],"tags":[],"class_list":["post-2226","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How to Find Prime Factorization (Step by Step) - India<\/title>\n<meta name=\"description\" content=\"Learn how to find prime factorization using the division method and factor tree, with NCERT-style examples, HCF and LCM uses, and exam tips for CBSE students.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to Find Prime Factorization (Step by Step) - India\" \/>\n<meta property=\"og:description\" content=\"Learn how to find prime factorization using the division method and factor tree, with NCERT-style examples, HCF and LCM uses, and exam tips for CBSE students.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/\" \/>\n<meta property=\"article:published_time\" content=\"2026-09-19T00:30:00+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/digitoolkit.in\/blog\/wp-content\/uploads\/2026\/09\/dtk-featured-2226-how-to-find-prime-factorization-step-by-step.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"675\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"mundliya\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mundliya\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/\"},\"author\":{\"name\":\"mundliya\",\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/#\\\/schema\\\/person\\\/2ec0a40ee547d8717205703b12c30cb4\"},\"headline\":\"How to Find Prime Factorization (Step by Step) &#8211; India\",\"datePublished\":\"2026-09-19T00:30:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/\"},\"wordCount\":1437,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/wp-content\\\/uploads\\\/2026\\\/09\\\/dtk-featured-2226-how-to-find-prime-factorization-step-by-step.png\",\"articleSection\":[\"Mathematics\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/\",\"url\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/\",\"name\":\"How to Find Prime Factorization (Step by Step) - India\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/wp-content\\\/uploads\\\/2026\\\/09\\\/dtk-featured-2226-how-to-find-prime-factorization-step-by-step.png\",\"datePublished\":\"2026-09-19T00:30:00+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/#\\\/schema\\\/person\\\/2ec0a40ee547d8717205703b12c30cb4\"},\"description\":\"Learn how to find prime factorization using the division method and factor tree, with NCERT-style examples, HCF and LCM uses, and exam tips for CBSE students.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/#primaryimage\",\"url\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/wp-content\\\/uploads\\\/2026\\\/09\\\/dtk-featured-2226-how-to-find-prime-factorization-step-by-step.png\",\"contentUrl\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/wp-content\\\/uploads\\\/2026\\\/09\\\/dtk-featured-2226-how-to-find-prime-factorization-step-by-step.png\",\"width\":1200,\"height\":675,\"caption\":\"Illustration for How to Find Prime Factorization (Step by Step) &#8211; India - DigiToolkit\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/how-to-find-prime-factorization-step-by-step\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"How to Find Prime Factorization (Step by Step) &#8211; India\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/#website\",\"url\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/\",\"name\":\"\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/#\\\/schema\\\/person\\\/2ec0a40ee547d8717205703b12c30cb4\",\"name\":\"mundliya\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/ff96cdd08389817bdf26bc4354a696a60d104a9c4324e7d47b224f29adc5d116?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/ff96cdd08389817bdf26bc4354a696a60d104a9c4324e7d47b224f29adc5d116?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/ff96cdd08389817bdf26bc4354a696a60d104a9c4324e7d47b224f29adc5d116?s=96&d=mm&r=g\",\"caption\":\"mundliya\"},\"sameAs\":[\"https:\\\/\\\/digitoolkit.in\\\/blog\"],\"url\":\"https:\\\/\\\/digitoolkit.in\\\/blog\\\/author\\\/mundliya\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"How to Find Prime Factorization (Step by Step) - India","description":"Learn how to find prime factorization using the division method and factor tree, with NCERT-style examples, HCF and LCM uses, and exam tips for CBSE students.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/","og_locale":"en_US","og_type":"article","og_title":"How to Find Prime Factorization (Step by Step) - India","og_description":"Learn how to find prime factorization using the division method and factor tree, with NCERT-style examples, HCF and LCM uses, and exam tips for CBSE students.","og_url":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/","article_published_time":"2026-09-19T00:30:00+00:00","og_image":[{"width":1200,"height":675,"url":"https:\/\/digitoolkit.in\/blog\/wp-content\/uploads\/2026\/09\/dtk-featured-2226-how-to-find-prime-factorization-step-by-step.png","type":"image\/png"}],"author":"mundliya","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mundliya","Est. reading time":"7 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/#article","isPartOf":{"@id":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/"},"author":{"name":"mundliya","@id":"https:\/\/digitoolkit.in\/blog\/#\/schema\/person\/2ec0a40ee547d8717205703b12c30cb4"},"headline":"How to Find Prime Factorization (Step by Step) &#8211; India","datePublished":"2026-09-19T00:30:00+00:00","mainEntityOfPage":{"@id":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/"},"wordCount":1437,"commentCount":0,"image":{"@id":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/#primaryimage"},"thumbnailUrl":"https:\/\/digitoolkit.in\/blog\/wp-content\/uploads\/2026\/09\/dtk-featured-2226-how-to-find-prime-factorization-step-by-step.png","articleSection":["Mathematics"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/","url":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/","name":"How to Find Prime Factorization (Step by Step) - India","isPartOf":{"@id":"https:\/\/digitoolkit.in\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/#primaryimage"},"image":{"@id":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/#primaryimage"},"thumbnailUrl":"https:\/\/digitoolkit.in\/blog\/wp-content\/uploads\/2026\/09\/dtk-featured-2226-how-to-find-prime-factorization-step-by-step.png","datePublished":"2026-09-19T00:30:00+00:00","author":{"@id":"https:\/\/digitoolkit.in\/blog\/#\/schema\/person\/2ec0a40ee547d8717205703b12c30cb4"},"description":"Learn how to find prime factorization using the division method and factor tree, with NCERT-style examples, HCF and LCM uses, and exam tips for CBSE students.","breadcrumb":{"@id":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/#primaryimage","url":"https:\/\/digitoolkit.in\/blog\/wp-content\/uploads\/2026\/09\/dtk-featured-2226-how-to-find-prime-factorization-step-by-step.png","contentUrl":"https:\/\/digitoolkit.in\/blog\/wp-content\/uploads\/2026\/09\/dtk-featured-2226-how-to-find-prime-factorization-step-by-step.png","width":1200,"height":675,"caption":"Illustration for How to Find Prime Factorization (Step by Step) &#8211; India - DigiToolkit"},{"@type":"BreadcrumbList","@id":"https:\/\/digitoolkit.in\/blog\/how-to-find-prime-factorization-step-by-step\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/digitoolkit.in\/blog\/"},{"@type":"ListItem","position":2,"name":"How to Find Prime Factorization (Step by Step) &#8211; India"}]},{"@type":"WebSite","@id":"https:\/\/digitoolkit.in\/blog\/#website","url":"https:\/\/digitoolkit.in\/blog\/","name":"","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/digitoolkit.in\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/digitoolkit.in\/blog\/#\/schema\/person\/2ec0a40ee547d8717205703b12c30cb4","name":"mundliya","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/ff96cdd08389817bdf26bc4354a696a60d104a9c4324e7d47b224f29adc5d116?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/ff96cdd08389817bdf26bc4354a696a60d104a9c4324e7d47b224f29adc5d116?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/ff96cdd08389817bdf26bc4354a696a60d104a9c4324e7d47b224f29adc5d116?s=96&d=mm&r=g","caption":"mundliya"},"sameAs":["https:\/\/digitoolkit.in\/blog"],"url":"https:\/\/digitoolkit.in\/blog\/author\/mundliya\/"}]}},"_links":{"self":[{"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/posts\/2226","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/comments?post=2226"}],"version-history":[{"count":1,"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/posts\/2226\/revisions"}],"predecessor-version":[{"id":2246,"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/posts\/2226\/revisions\/2246"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/media\/2266"}],"wp:attachment":[{"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/media?parent=2226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/categories?post=2226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/digitoolkit.in\/blog\/wp-json\/wp\/v2\/tags?post=2226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}