Question

For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number.
252

Answer 1

By prime factorisation we get $252=2\times 2\times 3\times 3\times 7$

Here $2$ and $3$ are in pairs but $7$ needs a pair.

Thus 7 can become pair after multiplying $252$ with $7$.

So $252$ will become a perfect square when multiplied by $7$.

Thus Answer $=7$