{"id":156174,"date":"2022-03-26T01:27:50","date_gmt":"2022-03-25T19:57:50","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/factoring-explanation-types-gcf-problems-rules-and-faqs\/"},"modified":"2022-12-22T21:37:26","modified_gmt":"2022-12-22T16:07:26","slug":"factoring-explanation-types-gcf-problems-rules-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/","title":{"rendered":"Factoring &#8211; Explanation, Types, GCF, Problems, Rules, and FAQs"},"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\/factoring\/#Introduction_to_Factoring\" title=\"Introduction to Factoring\">Introduction to Factoring<\/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\/factoring\/#Types_of_Factoring_Algebraically\" title=\"Types of Factoring Algebraically\">Types of Factoring Algebraically<\/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\/factoring\/#Greatest_Common_Factor\" title=\"Greatest Common Factor\">Greatest Common Factor<\/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\/factoring\/#Factorisation_Problems\" title=\"Factorisation Problems:\">Factorisation Problems:<\/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\/factoring\/#Factoring_Polynomial_by_Grouping\" title=\"Factoring Polynomial by Grouping\">Factoring Polynomial by Grouping<\/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\/factoring\/#Factoring_Rules\" title=\"Factoring Rules:\">Factoring Rules:<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Introduction_to_Factoring\"><\/span>Introduction to Factoring<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Factoring is the process of dividing a number into a product of prime numbers. The number is called the &#8220;factor&#8221; of the product, and the prime numbers are the &#8220;factors.&#8221;<\/p>\n<p>For example, the factorization of 60 is 2 x 2 x 3 x 5. This means that 60 can be divided evenly into 2, 2, 3, 5, 10, 15, and 30.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156173 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factoring-explanation-types-gcf-problems-rules-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factoring-explanation-types-gcf-problems-rules-and-faqs.jpg?v=1648238266 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factoring-explanation-types-gcf-problems-rules-and-faqs-300x212.jpg?v=1648238266 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Factoring_Algebraically\"><\/span>Types of Factoring Algebraically<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three types of factoring algebraically:<\/p>\n<p>1) Trinomial factoring: This is the process of factoring a trinomial, which is an algebraic expression with three terms. The expression is factored into two binomial expressions, each of which is the product of a factor and a sum or difference of the two terms of the original trinomial.<\/p>\n<p>2) Quadratic factoring: This is the process of factoring a quadratic equation, which is an algebraic equation with two terms. The equation is factored into two binomial expressions, each of which is the product of a factor and the square of the other term.<\/p>\n<p>3) Polynomial factoring: This is the process of factoring a polynomial, which is an algebraic expression with more than three terms. The expression is factored into two or more binomial expressions, each of which is the product of a factor and a sum or difference of the terms in the original polynomial.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Greatest_Common_Factor\"><\/span>Greatest Common Factor<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The greatest common factor (GCF) of two or more numbers is the largest number that evenly divides all of the numbers. The GCF is also the highest common factor (HCF).<\/p>\n<p>For example, the GCF of 12 and 15 is 3 because 3 evenly divides both 12 and 15. The GCF of 15 and 30 is 5 because 5 evenly divides both 15 and 30.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Factorisation_Problems\"><\/span>Factorisation Problems:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Factorise the following into prime factors:<\/p>\n<p>162<\/p>\n<p>2. Factorise the following into prime factors:<\/p>\n<p>24<\/p>\n<p>3. Factorise the following into prime factors:<\/p>\n<p>120<\/p>\n<p>4. Factorise the following into prime factors:<\/p>\n<p>288<\/p>\n<p>5. Factorise the following into prime factors:<\/p>\n<p>720<\/p>\n<p>1. 162 = 2 x 2 x 3 x 3<br \/>\n2. 24 = 2 x 2 x 3<br \/>\n3. 120 = 2 x 2 x 3 x 5<br \/>\n4. 288 = 2 x 2 x 2 x 3 x 3<br \/>\n5. 720 = 2 x 2 x 2 x 3 x 3 x 5<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Factoring_Polynomial_by_Grouping\"><\/span>Factoring Polynomial by Grouping<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Factor the polynomial by grouping the terms.<\/p>\n<p>x2 + 3x &#8211; 2<\/p>\n<p>(x + 2)(x &#8211; 1)<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Factoring_Rules\"><\/span>Factoring Rules:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. The first rule of factoring is that a number can be factored into its prime factors. For example, the number 12 can be factored into 2 \u00d7 2 \u00d7 3.<\/p>\n<p>2. The second rule of factoring is that a number can be factored into the product of its prime factors. For example, the number 144 can be factored into 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction to Factoring Factoring is the process of dividing a number into a product of prime numbers. The number is [&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":"Factoring - Explanation, Types, GCF, Problems, Rules, and FAQs","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about factoring topic of maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts","custom_permalink":"maths\/factoring\/"},"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>Factoring - Explanation, Types, GCF, Problems, Rules, and FAQs - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about factoring topic of maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts\" \/>\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\/factoring\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Factoring - Explanation, Types, GCF, Problems, Rules, and FAQs - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Learn about factoring topic of maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/\" \/>\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=\"2022-03-25T19:57:50+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-12-22T16:07:26+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factoring-explanation-types-gcf-problems-rules-and-faqs.jpg\" \/>\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=\"3 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Factoring - Explanation, Types, GCF, Problems, Rules, and FAQs - Infinity Learn by Sri Chaitanya","description":"Learn about factoring topic of maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts","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\/factoring\/","og_locale":"en_US","og_type":"article","og_title":"Factoring - Explanation, Types, GCF, Problems, Rules, and FAQs - Infinity Learn by Sri Chaitanya","og_description":"Learn about factoring topic of maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts","og_url":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-03-25T19:57:50+00:00","article_modified_time":"2022-12-22T16:07:26+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factoring-explanation-types-gcf-problems-rules-and-faqs.jpg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"vipin","Est. reading time":"3 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":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factoring-explanation-types-gcf-problems-rules-and-faqs.jpg?v=1648238266","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factoring-explanation-types-gcf-problems-rules-and-faqs.jpg?v=1648238266","width":606,"height":428},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/","name":"Factoring - Explanation, Types, GCF, Problems, Rules, and FAQs - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/#primaryimage"},"datePublished":"2022-03-25T19:57:50+00:00","dateModified":"2022-12-22T16:07:26+00:00","description":"Learn about factoring topic of maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/maths\/factoring\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Factoring &#8211; Explanation, Types, GCF, Problems, Rules, and FAQs"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2"},"headline":"Factoring &#8211; Explanation, Types, GCF, Problems, Rules, and FAQs","datePublished":"2022-03-25T19:57:50+00:00","dateModified":"2022-12-22T16:07:26+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/#webpage"},"wordCount":387,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factoring\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factoring-explanation-types-gcf-problems-rules-and-faqs.jpg","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\/156174"}],"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=156174"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/156174\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=156174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=156174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=156174"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=156174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}