Question

Find the smallest whole number by which $180$ should be multiplied, so as to get a perfect square number.

Answer 1

By prime factorisation, we get

$180=3\times 3\times 2\times 2\times 5$

Here $3$ and $2$ are in pair, but $5$ needs a pair to make $180$ a perfect square.

$180$ needs to be multiplied by $5$ to become a perfect square.