Q.

The number of even divisors of the number N = 12600 is

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a

72

b

54

c

18

d

none of these

answer is B.

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Detailed Solution

N=12600=23×32×52×71The number of even divisors is equal to number of ways in which one or more ‘2’ , zero or more '3', zero or more '5' and zero or more '7' can be selected, and is given by (3)(2+1)(2+1)(1+1)=54.
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The number of even divisors of the number N = 12600 is