单选题
For any positive integer n, n>1, the "length" of n is the number of positive primes (not necessarily distinct) whose product is n. For example, the length of 50 is 3 since 50=(2)(5)(5)
Which of the following integers has length 3?
A、
3
B、
15
C、
60
D、
64
E、
(E) 105
【正确答案】
E
【答案解析】
[解析] 根据题目中的定义可知:
(A)的length等于1;
(B)的length等于2,因为15=3×5;
(C)的length等于4,因为60=2×2×3×5;
(D)的length等于6,因为64=2×2×2×2×2×2;
(E)的length等于3,因为105=3×5×7。
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