📜  门| GATE-CS-2015(Set 2)|第65章

📅  最后修改于: 2021-06-28 20:54:26             🧑  作者: Mango

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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