{"id":156148,"date":"2022-03-26T01:26:06","date_gmt":"2022-03-25T19:56:06","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/factorisation-introduction-methods-formula-solved-examples\/"},"modified":"2024-05-06T14:16:50","modified_gmt":"2024-05-06T08:46:50","slug":"factorisation-introduction-methods-formula-solved-examples","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/","title":{"rendered":"Factorisation"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#What_is_Factorisation\" title=\"What is Factorisation?\">What is Factorisation?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#Algebraic_Factorization\" title=\"Algebraic Factorization\">Algebraic Factorization<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#Methods_of_Factorization\" title=\"Methods of Factorization\">Methods of Factorization<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#What_is_the_Purpose_of_Factoring\" title=\"What is the Purpose of Factoring?\">What is the Purpose of Factoring?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#What_is_a_Factor_Tree\" title=\"What is a Factor Tree?\">What is a Factor Tree?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#Purpose_of_a_Factor_in_Real_Life\" title=\"Purpose of a Factor in Real Life\">Purpose of a Factor in Real Life<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#The_Importance_of_Mathematics\" title=\"The Importance of Mathematics\">The Importance of Mathematics<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Factorisation\"><\/span>What is Factorisation?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Factorisation is the process of writing a number as a product of its prime factors. For example, the number 24 can be written as the product of its prime factors 2, 3 and 4.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Algebraic_Factorization\"><\/span>Algebraic Factorization<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Algebraic factorization is the process of finding all the factors of a number. Factors are numbers that can be multiplied together to produce the original number. Algebraic factorization is a technique that can be used to solve equations.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Methods_of_Factorization\"><\/span>Methods of Factorization<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a few different methods of factorization that can be used to find the factors of a number. The most common methods are the prime factorization method and the divisibility method.<\/p>\n<p>The prime factorization method finds the prime factors of a number and then multiplies them together to find the total factors of the number. The divisibility method finds the factors of a number by dividing the number by smaller numbers until it is divisible by one.<\/p>\n<p>Both methods can be used to find the factors of a composite number, which is a number that is not prime. The prime factorization method is better for finding the factors of a large number, while the divisibility method is better for finding the factors of a small number.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_Purpose_of_Factoring\"><\/span>What is the Purpose of Factoring?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The purpose of factoring is to provide a company with short-term financing. Factoring allows a company to sell its accounts receivable (invoices) to a third party, typically a financial institution, in exchange for a lump sum of cash. This cash can be used to finance the company&#8217;s operations until the accounts receivable are paid.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Factor_Tree\"><\/span>What is a Factor Tree?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A Factor Tree is a way of breaking down a number into its prime factors. Prime factors are the numbers that can be multiplied together to create the original number. For example, the prime factors of 12 are 2, 3, and 4. This means that 12 can be created by multiplying 2, 3, and 4 together.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Purpose_of_a_Factor_in_Real_Life\"><\/span>Purpose of a Factor in Real Life<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A factor is a number that is multiplied by another number to produce a result. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. The result of multiplying 1 by 12 is 12, the result of multiplying 2 by 12 is 24, and so on.<\/p>\n<p>In the real world, factors are often used in business and finance. For example, a business might want to know how much money it needs to borrow in order to finance a new project. In order to figure this out, the business might need to calculate the total cost of the project and then divide that number by the loan&#8217;s interest rate. This will give the business the number of periods it will need to pay back the loan.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Importance_of_Mathematics\"><\/span>The Importance of Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Mathematics is one of the most important tools that we have as humans. Mathematics is the study of quantity, structure, space, and change. It is a way of looking at the world and trying to understand it. Mathematics is used in many different fields, including science, engineering, and business.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is Factorisation? Factorisation is the process of writing a number as a product of its prime factors. For example, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Factorisation","_yoast_wpseo_title":"Factorisation- Introduction, Methods, Formula & Solved Examples","_yoast_wpseo_metadesc":"Learn about Factorisation in detail on infinitylearn.com. Find out the Methods, Formula & Solved Examples for quick understanding.","custom_permalink":"maths\/factorisation\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Factorisation- Introduction, Methods, Formula &amp; Solved Examples<\/title>\n<meta name=\"description\" content=\"Learn about Factorisation in detail on infinitylearn.com. Find out the Methods, Formula &amp; Solved Examples for quick understanding.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Factorisation- Introduction, Methods, Formula &amp; Solved Examples\" \/>\n<meta property=\"og:description\" content=\"Learn about Factorisation in detail on infinitylearn.com. Find out the Methods, Formula &amp; Solved Examples for quick understanding.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-03-25T19:56:06+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-05-06T08:46:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"vipin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Factorisation- Introduction, Methods, Formula & Solved Examples","description":"Learn about Factorisation in detail on infinitylearn.com. Find out the Methods, Formula & Solved Examples for quick understanding.","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:\/\/infinitylearn.com\/surge\/maths\/factorisation\/","og_locale":"en_US","og_type":"article","og_title":"Factorisation- Introduction, Methods, Formula & Solved Examples","og_description":"Learn about Factorisation in detail on infinitylearn.com. Find out the Methods, Formula & Solved Examples for quick understanding.","og_url":"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-03-25T19:56:06+00:00","article_modified_time":"2024-05-06T08:46:50+00:00","og_image":[{"width":1920,"height":1008,"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"vipin","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/","name":"Factorisation- Introduction, Methods, Formula & Solved Examples","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2022-03-25T19:56:06+00:00","dateModified":"2024-05-06T08:46:50+00:00","description":"Learn about Factorisation in detail on infinitylearn.com. Find out the Methods, Formula & Solved Examples for quick understanding.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Factorisation"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2"},"headline":"Factorisation","datePublished":"2022-03-25T19:56:06+00:00","dateModified":"2024-05-06T08:46:50+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorisation\/#webpage"},"wordCount":493,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"articleSection":["Maths"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2","name":"vipin","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","caption":"vipin"},"sameAs":["http:\/\/surge.infinitylearn.com"],"url":"https:\/\/infinitylearn.com\/surge\/author\/vipin\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/156148"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=156148"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/156148\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=156148"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=156148"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=156148"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=156148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}