Find the least number which multiplied with 74088 will

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Find the least number which multiplied with 74088 will make it a perfect square ?

1. 42
2. 44
3. 46
4. 48

Correct Option: A

74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7
= (2 x 2) x (3 x 3) x (7 x 7) x ( 2 x 3 x 7)
∴ Least number which should be multiplied to 74088 to make it a perfect suqare = 2 x 3 x 7 = 42