Question

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

2800

Answer 1

$2800=2\times 2\times 2\times 2\times 5\times 5\times 7$
$2800=2^4\times 5^2\times 7$
2800 has an extra 7 as its factor for it to be a perfect square. Hence, it should be divided by 7 to get 400 which is a perfect square.
$\sqrt{400}=20$