GATE | GATE-CS-2015 (Set 2) | Question 65
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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Last Updated :
28 Jun, 2021
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