2100的除数数是_________。
(A) 42
(B) 36
(C) 78
(D) 72答案: (B)
解释:
2100 = 22 * 31 * 52 * 71
There are 3 choices for powers of 2, the choices are 0, 1, 2
Similarly, there are 2 choices for powers of 3, 3 choices for power of 5
and 2 choices for power of 7.
So total number of divisors is 3 * 2 * 3 * 2 = 36
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