How many factors of 4327580125 are perfect squares?

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05 Dec 2018 Perfect Square

How many factors of 4327580125 are perfect squares?

OPtion

1) 6
2) 18
3) 9
4) 12
5) 15
6) 24
7) 8
8) 32
9) 36
10) None of these

Solution

4327580125 = 37^2 * 19^1 * 11^3 * 5^3

Any factor of this number should be of the form 37^a * 19^b * 11^c * 5^d

For the factor to be a perfect square a,b,c,d have to be even.

a can take values 0,2
b can take values 0,
c can take values 0, 2
d can take values 0, 2



Total number of perfect squares = 2*1*2*2 = 8

Option 7)

Correct Option: 7 Best Solution (0)