{"id":244320,"date":"2025-07-05T04:09:25","date_gmt":"2025-07-05T04:09:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=244320"},"modified":"2025-07-05T04:09:27","modified_gmt":"2025-07-05T04:09:27","slug":"write-28-24-as-a-product-of-two-factors-using-the-gcf-and-the-distributive-property-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/05\/write-28-24-as-a-product-of-two-factors-using-the-gcf-and-the-distributive-property-2\/","title":{"rendered":"Write 28 + 24 as a product of two factors using the GCF and the distributive property."},"content":{"rendered":"\n<p>Write 28 + 24 as a product of two factors using the GCF and the distributive property. 28 + 24 = ? (? + ? )<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>We want to express 28+2428 + 2428+24 as a product of two factors using the greatest common factor (GCF) and the distributive property.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the GCF of 28 and 24.<\/h3>\n\n\n\n<p>The first step is to identify the greatest common factor (GCF) of 28 and 24. The factors of 28 are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1, 2, 4, 7, 14, 28.<\/li>\n<\/ul>\n\n\n\n<p>The factors of 24 are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1, 2, 3, 4, 6, 8, 12, 24.<\/li>\n<\/ul>\n\n\n\n<p>The GCF of 28 and 24 is <strong>4<\/strong>, as it is the largest number that divides both 28 and 24.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Factor out the GCF.<\/h3>\n\n\n\n<p>Now that we know the GCF is 4, we can factor 4 out of both terms in the expression 28+2428 + 2428+24.28+24=4(7+6)28 + 24 = 4(7 + 6)28+24=4(7+6)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Distributive Property.<\/h3>\n\n\n\n<p>The distributive property tells us that a(b+c)=ab+aca(b + c) = ab + aca(b+c)=ab+ac. Here, we\u2019ve factored out the GCF, so we can check:4(7+6)=4\u00d77+4\u00d76=28+244(7 + 6) = 4 \\times 7 + 4 \\times 6 = 28 + 244(7+6)=4\u00d77+4\u00d76=28+24<\/p>\n\n\n\n<p>Thus, the expression 28+2428 + 2428+24 as a product of two factors is:28+24=4(7+6)28 + 24 = 4(7 + 6)28+24=4(7+6)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>28+24=4(7+6)28 + 24 = 4(7 + 6)28+24=4(7+6)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>By using the distributive property and the GCF, we rewrote the sum 28+2428 + 2428+24 as a product of the GCF, 4, and the sum of the remaining factors, 7 and 6. This technique is helpful in simplifying expressions and is widely used in algebra to factor polynomials or combine terms effectively.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-426.jpeg\" alt=\"\" class=\"wp-image-244321\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write 28 + 24 as a product of two factors using the GCF and the distributive property. 28 + 24 = ? (? + ? ) The Correct Answer and Explanation is: We want to express 28+2428 + 2428+24 as a product of two factors using the greatest common factor (GCF) and the distributive property. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244320","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244320","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244320"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244320\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244320"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244320"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244320"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}