By what smallest number should $2016$ be multiplied so that the product obtained is a perfect square ?

2

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7

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4

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14

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Solution

The correct option is C $14$
$2016 = 2^{5} \times 3^{2} \times 7$
Hence, $2 \times 7 = 14$ is the smallest number by which 2016 be multiplied so that the product obtained is a perfect square.

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