{"id":3843,"date":"2023-09-01T22:59:00","date_gmt":"2023-09-02T02:59:00","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=3843"},"modified":"2024-10-25T09:29:55","modified_gmt":"2024-10-25T13:29:55","slug":"mathcounts-training-number-theory-3","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=3843","title":{"rendered":"MathCounts Training &#8211; Number Theory &#8211; 3"},"content":{"rendered":"\n<ol><li>________ What is the sum of all integer values of $n$ such that $\\dfrac{20}{2n-1}$ is an integer?<\/li><li>________ What is the units digit of the sum of the sum of all the integers from 100 to 202 inclusive?<\/li><li>________ How many of the divisors of $8!$ are larger than $7!$?<\/li><li>________ If $n$ is a prime number, what is the smallest composite number produced by $n^2-n-1$?<\/li><li>________ $A$, $B$, $C$, and $D$ are distinct positive integers such that the product $AB=60$, the product $CD=60$ and $A-B=C+D$. What is the value of $A$?<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>________ What is the sum of all integer values of $n$ such that $\\dfrac{20}{2n-1}$ is an integer? ________ What is the units digit of the sum of the sum of all the integers from 100 to 202 inclusive? ________ How &hellip; <a href=\"https:\/\/mathfun4kids.com\/mlog\/?p=3843\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[18,11,16],"tags":[],"_links":{"self":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/3843"}],"collection":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3843"}],"version-history":[{"count":4,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/3843\/revisions"}],"predecessor-version":[{"id":4579,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/3843\/revisions\/4579"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3843"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3843"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3843"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}