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If n= pqr, where p, q, and r are three different prime numbers, how many differe
If n= pqr, where p, q, and r are three different prime numbers, how many differe
游客
2025-02-23
26
管理
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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