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GATE | GATE-CS-2015 (Set 2) | Question 65

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  • Last Updated : 28 Jun, 2021
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The number of divisors of 2100 is _________.
(A) 42
(B) 36
(C) 78
(D) 72


Answer: (B)

Explanation:

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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