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Check whether $1152$ is a perfect square. If not, then find the least number by which it should be divided so that, the quotient becomes a perfect square.

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5

3

2

6

answer is C.

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Detailed Solution

Given number is 1152.
Writing the prime factors of 1152.

\Rightarrow 1152 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3

All the prime factors except

2

can be paired.
Thus

1152

is not a perfect square.
Thus, we should divide

1152

2

to get the perfect square.

1152 \div 2 = 576

Therefore, option (3) is correct.

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