{"id":16659,"date":"2026-05-01T23:27:19","date_gmt":"2026-05-01T17:27:19","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/number-of-positive-divisors-from-prime-factors\/"},"modified":"2026-05-01T23:27:19","modified_gmt":"2026-05-01T17:27:19","slug":"number-of-positive-divisors-from-prime-factors","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/number-of-positive-divisors-from-prime-factors\/","title":{"rendered":"Number Of Positive Divisors From Prime Factors"},"content":{"rendered":"<p>If the prime factorization of n is 2^3 \u00d7 3^2 \u00d7 5, what is the number of positive divisors of n?<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>24<\/li>\n<li>12<\/li>\n<li>18<\/li>\n<li>36<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2690,2602],"subject":[1425],"education_level":[1896],"class_list":["post-16659","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-divisors","topic-prime-factorization","subject-mathematics","education_level-hsc"],"mcq_note":"Number of divisors = (3+1)(2+1)(1+1) = 4\u00b73\u00b72 = 24 using the exponents-plus-one rule.","mcq_options":[{"right":"yes","answer":"24"},{"right":"no","answer":"12"},{"right":"no","answer":"18"},{"right":"no","answer":"36"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2489,"title":"Arithmetic &amp; Number System","slug":"arithmetic-number-system"},{"id":2690,"title":"Divisors","slug":"divisors"},{"id":2602,"title":"Prime Factorization","slug":"prime-factorization"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16659","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=16659"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16659"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16659"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16659"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16659"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}