Question

For a given number, find the smallest whole number by which it should be divided so as to get a perfect square.

252

Answer 1

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

$252=2^2\times 3^2\times 7$
252 has an extra 7 as its factor for it to be a perfect square. Hence, it should be divided by 7 to get 36 which is a perfect square.
$\sqrt{36}=6$