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Question

Find the smallest number by which 405 must be divided, so as to get a perfect square.



Your Answer
A

3

Your Answer
B

9

Your Answer
C

15

Correct Answer
D

5


Solution

The correct option is D

5


Using the prime factorization method we have,

405=3×3×3×3×5

Pairing the factors we get  (3×3)×(3×3)×5

Since 5 does not have a pair, We  divide 405 by 5 to get a perfect square.

So, 5 is the number by which it should be divided, to make it a perfect square.

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