{"id":263365,"date":"2025-07-21T06:03:04","date_gmt":"2025-07-21T06:03:04","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=263365"},"modified":"2025-07-21T06:03:06","modified_gmt":"2025-07-21T06:03:06","slug":"what-is-the-prime-factorization-of-20","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/what-is-the-prime-factorization-of-20\/","title":{"rendered":"What is the prime factorization of 20"},"content":{"rendered":"\n

What is the prime factorization of 20<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To find the prime factorization of 20, we begin by dividing it by the smallest prime number, 2, since 20 is an even number.<\/p>\n\n\n\n

    \n
  1. Divide by 2<\/strong>:
    20\u00f72=1020 \u00f7 2 = 1020\u00f72=10
    So, 2 is a factor of 20, and we are left with 10.<\/li>\n\n\n\n
  2. Divide 10 by 2 again<\/strong>:
    10\u00f72=510 \u00f7 2 = 510\u00f72=5
    Now, we have another factor of 2, and we are left with 5.<\/li>\n\n\n\n
  3. Prime check for 5<\/strong>:
    5 is a prime number because it can only be divided by 1 and itself. We stop here since no further division is possible.<\/li>\n<\/ol>\n\n\n\n

    Therefore, the prime factorization of 20 is:
    20=2\u00d72\u00d7520 = 2 \\times 2 \\times 520=2\u00d72\u00d75<\/p>\n\n\n\n

    In exponential form, we can express it as:
    20=22\u00d7520 = 2^2 \\times 520=22\u00d75<\/p>\n\n\n\n

    Explanation:<\/h3>\n\n\n\n

    Prime factorization involves breaking down a number into the product of prime numbers. Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. In the case of 20, it is first divided by 2, the smallest prime, because 20 is even. After dividing by 2 twice, we are left with 5, which is a prime number. Hence, the prime factorization of 20 is 22\u00d752^2 \\times 522\u00d75. This tells us that 20 is made up of two 2s and one 5.<\/p>\n\n\n\n

    Understanding prime factorization is important for simplifying expressions, finding greatest common divisors, and solving problems in number theory.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    What is the prime factorization of 20 The Correct Answer and Explanation is: To find the prime factorization of 20, we begin by dividing it by the smallest prime number, 2, since 20 is an even number. Therefore, the prime factorization of 20 is:20=2\u00d72\u00d7520 = 2 \\times 2 \\times 520=2\u00d72\u00d75 In exponential form, we can […]<\/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-263365","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263365","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=263365"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263365\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=263365"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=263365"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=263365"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}