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一道英文数学题Thereisapositiveinteger,B,suchthat2Bisaperfectsquare,3Bisaperfectcube,and5Bisaperfectfifth(anintegertothefifthpower).AssumethatBisthesmallestsuchnumber.Howmanyfactorsareintheprimefactorization

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一道英文数学题
There is a positive integer,B,such that 2B is a perfect square,3B is a perfect cube,and
5B is a perfect fifth (an integer to the fifth power).Assume that B is the smallest such
number.How many factors are in the prime factorization of
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答案和解析
题目翻译过来:求一个最小的正整数数B,乘2是一个完全平方数,乘3是一个完全立方数,乘5是一个完全五次方数.那么在B的质因数中有多少个因子?答案:因为2*B是完全平方数,所以B含有2^(x),x为正奇数;因为3*B是完全立方数,...