Find the smallest whole number by which 252 should be multiplied so as to get a perfect square number.

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3

7

2

answer is B.

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Detailed Solution

Given number is 252.
Prime number is a number that is divisible by 1 and itself only, writing a number as product of prime numbers is prime factorization.
By prime factorisation we get,

252 = 2 \times 2 \times 3 \times 3 \times 7

It is clear that in order to get a perfect square, one more

7

is required as it is not in pair.
So, the given number should be multiplied by

7

to make the product a perfect square.

∴ 252 \times 7 = 1764

is a perfect square.
Thus, 252 should be multiplied by 7 to make it a perfect square.
Therefore, option (2) is correct.

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