{"id":21734,"date":"2016-02-17T22:48:48","date_gmt":"2016-02-17T22:48:48","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=21734"},"modified":"2026-06-23T17:10:26","modified_gmt":"2026-06-23T22:10:26","slug":"intro-to-factoring-in-math","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/intro-to-factoring-in-math\/","title":{"rendered":"An Introduction to Factoring"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_p4TcKuAED9g\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_p4TcKuAED9g\" data-source-videoID=\"p4TcKuAED9g\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"An Introduction to Factoring Video\" height=\"720\" width=\"1280\" class=\"size-full\" data-matomo-title = \"An Introduction to Factoring\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_p4TcKuAED9g:hover {cursor:pointer;} img#videoThumbnailImage_p4TcKuAED9g {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/04\/Intro-to-factorization-thumb.jpg\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_p4TcKuAED9g\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_p4TcKuAED9g\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"An Introduction to Factoring\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_p4TcKuAED9g\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_p4TcKuAED9g\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_p4TcKuAED9g\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hi, and welcome to this video lesson on factors!<\/p>\n<p>Factors are super important to understanding how numbers are related, and most math tests are going to assume you understand these concepts, so let&#8217;s take a look.<\/p>\n<p>The factors of a number are all integers by which the number can be divided.<\/p>\n<p>For example:<\/p>\n<div class=\"examplesentence\" style=\"font-size: 100%\">\n<strong>Factors of 18<\/strong><\/p>\n<p style=\"display: block; margin-top: -2.75em; margin-bottom: 0em\">1, 2, 3, 6, 9, 18<\/p>\n<p>\n<strong>Factors of 24<\/strong><\/p>\n<p style=\"display: block; margin-top: -2.75em; margin-bottom: 0em\">1, 2, 3, 4, 6, 8, 12, 24<\/p>\n<\/div>\n<p>\n&nbsp;<br \/>\nCommon factors are all factors that are shared by both integers. Common factors of 18 and 24 are 1, 2, 3, and 6.<\/p>\n<p>The greatest common factor is the greatest factor (or biggest number) by which 18 and 24 can both be divided, and in this case, it&#8217;s 6.<\/p>\n<p>Make sense? Let&#8217;s try a couple of practice problems by ourselves.<\/p>\n<p>Find the factors of 32 and 56, then find their common factors, then find their greatest common factor.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 100%\">\n<strong>Factors of 32<\/strong><\/p>\n<p style=\"display: block; margin-top: -2.75em; margin-bottom: 0em\">1, 2, 4, 8, 16, 32<\/p>\n<p>\n<strong>Factors of 56<\/strong><\/p>\n<p style=\"display: block; margin-top: -2.75em; margin-bottom: 0em\">1, 2, 4, 8, 14, 28, 56<\/p>\n<hr style=\"margin: 1em\">\n<strong>Common Factors of 32 and 56<\/strong><\/p>\n<p style=\"display: block; margin-top: -2.75em; margin-bottom: 0em\">1, 2, 4, 8<\/p>\n<p>\n<strong>GCF of 32 and 56<\/strong><\/p>\n<p style=\"display: block; margin-top: -2.75em; margin-bottom: 0em\">8<\/p>\n<\/div>\n<p>\n&nbsp;<br \/>\nFind the greatest common factor of 47 and 63 <\/p>\n<div class=\"examplesentence\" style=\"font-size: 100%\">\n<strong>Factors of 47<\/strong><\/p>\n<p style=\"display: block; margin-top: -2.75em; margin-bottom: 0em\">1, 47<\/p>\n<p>\n<strong>Factors of 63<\/strong><\/p>\n<p style=\"display: block; margin-top: -2.75em; margin-bottom: 0em\">1, 3, 7, 9, 21, 63<\/p>\n<\/div>\n<p>\n&nbsp;<br \/>\nThat was kind of a trick question since 47 is what we call a prime number, meaning the only factors it has are 1 and itself. Therefore, 1 will be the greatest common factor.<\/p>\n<\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/pre-algebra\/\">Return to Pre-Algebra Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Pre-Algebra Videos<\/p>\n","protected":false},"author":1,"featured_media":292748,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-21734","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-pre-algebra-factoring-videos","7":"page_category-math-advertising-group","8":"page_category-polynomial-videos","9":"page_type-video","10":"subject_matter-math"},"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"Factorization breaks a number down into integers by which it can be divided. 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