what is the prime factorization of 154? 2 \u00d7 5 \u00d7 13 2 \u00d7 5 \u00d7 11 2 \u00d7 7 \u00d7 11 2 \u00d7 7 \u00d7 13<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The correct answer is: 2 \u00d7 7 \u00d7 11<\/strong><\/p>\n\n\n\n Prime factorization is the process of expressing a composite number as the product of its prime numbers. To find the prime factorization of 154, begin by dividing it by the smallest prime number and continue with the next primes until all factors are prime.<\/p>\n\n\n\n Step 1: Start with the smallest prime number, 2.<\/strong><\/p>\n\n\n\n 154 is an even number, which means it is divisible by 2. So far, we have: Step 2: Factor 77<\/strong><\/p>\n\n\n\n 77 is not even, so it is not divisible by 2. The next smallest prime number is 3, but 77 is not divisible by 3 because 7 + 7 = 14, and 14 is not divisible by 3.<\/p>\n\n\n\n The next prime number is 5. A number divisible by 5 ends in 0 or 5, but 77 ends in 7, so it is not divisible by 5.<\/p>\n\n\n\n Next is 7. Now, we have: Both 7 and 11 are prime numbers.<\/p>\n\n\n\n So, putting all the steps together: This is the complete prime factorization. All the factors\u20142, 7, and 11\u2014are prime numbers, and multiplying them gives the original number: Among the answer choices given:<\/p>\n\n\n\n Therefore, the correct prime factorization of 154 is 2 \u00d7 7 \u00d7 11<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" what is the prime factorization of 154? 2 \u00d7 5 \u00d7 13 2 \u00d7 5 \u00d7 11 2 \u00d7 7 \u00d7 11 2 \u00d7 7 \u00d7 13 The correct answer and explanation is: The correct answer is: 2 \u00d7 7 \u00d7 11 Explanation: Prime factorization is the process of expressing a composite number as the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-34312","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/34312","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=34312"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/34312\/revisions"}],"predecessor-version":[{"id":34313,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/34312\/revisions\/34313"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=34312"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=34312"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=34312"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
154 \u00f7 2 = 77<\/p>\n\n\n\n
154 = 2 \u00d7 77<\/strong><\/p>\n\n\n\n
77 \u00f7 7 = 11<\/p>\n\n\n\n
77 = 7 \u00d7 11<\/strong><\/p>\n\n\n\n
154 = 2 \u00d7 7 \u00d7 11<\/strong><\/p>\n\n\n\n
2 \u00d7 7 = 14
14 \u00d7 11 = 154<\/p>\n\n\n\n\n