A-A+
If n = pqr where p q and r are three differ
问题详情
If n = pqr, where p, q, and r are three different positive prime numbers, how many different positive divisors does n have, including 1 and n?
A.3
B.5
C.6
D.7
E.8请帮忙给出正确答案和分析,谢谢!
参考答案
正确答案:E
解析:若n=pqr,其中p,q,r是3个不同的正质数(positiveprimenumbers),n有多少个不同的因子,包括1和n?解:本题的正确答案为(E)。由因子数求解公式可得n=p×q×r,当p,q,r为质数时n的因子数为(1+1)(1+1)(1+1)=8个。