If n= pqr, where p, q, and r are three different prime numbers, how many differe

游客2025-02-23 31

问题 If n= pqr, where p, q, and r are three different prime numbers, how many different positive divisors does n have?

选项 A、3
B、5
C、6
D、7
E、8

答案 E

解析 P、q、r是3个不同的质数，则n=pqr就是对整数n做质因数分解，根据因数个数计算步骤，可知n有(1+1)×(1+1)×(1+1)=8个因数。答案为E选项。

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