The prime factorization of 425 using exponents<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The prime factorization of 425 using exponents is:<\/p>\n\n\n\n 425 = 5\u00b2 \u00d7 17<\/strong><\/p>\n\n\n\n To determine the prime factorization of a number like 425, the goal is to express it as a product of prime numbers. A prime number is a number that can only be divided by 1 and itself. Let’s break down the process step by step.<\/p>\n\n\n\n Thus, the prime factorization of 425 is 5\u00b2 \u00d7 17<\/strong>. This expresses 425 as a product of primes, with the exponent showing that 5 is used twice in the factorization.<\/p>\n","protected":false},"excerpt":{"rendered":" The prime factorization of 425 using exponents The correct answer and explanation is: The prime factorization of 425 using exponents is: 425 = 5\u00b2 \u00d7 17 Explanation: To determine the prime factorization of a number like 425, the goal is to express it as a product of prime numbers. A prime number is a number […]<\/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-255063","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255063","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=255063"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255063\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=255063"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=255063"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=255063"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
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The first step is to check if 425 is divisible by the smallest prime number, which is 2. Since 425 is an odd number, it is not divisible by 2.<\/li>\n\n\n\n
Next, check if 425 is divisible by 3. A simple rule is to add the digits of 425 (4 + 2 + 5 = 11) and see if the sum is divisible by 3. Since 11 is not divisible by 3, 425 is not divisible by 3.<\/li>\n\n\n\n
The next smallest prime number is 5. Since 425 ends in a 5, it is divisible by 5. Dividing 425 by 5 gives: 425\u00f75=85425 \u00f7 5 = 85 This means 425 = 5 \u00d7 85.<\/li>\n\n\n\n
Now, take the factor 85. Again, since 85 ends in 5, it is divisible by 5. Dividing 85 by 5 gives: 85\u00f75=1785 \u00f7 5 = 17 Now we have 425 = 5 \u00d7 5 \u00d7 17, or 5\u00b2 \u00d7 17.<\/li>\n\n\n\n
Finally, check if 17 is a prime number. Since 17 is only divisible by 1 and itself, it is a prime number.<\/li>\n<\/ol>\n\n\n\n