Question

Find the smallest number by which 28812 must be divided so that the quotient becomes a perfect square.

Answer 1

By factorization
$28812=\underset{–}{2\times 2}\times 3\times \underset{–}{7\times 7}\times \underset{–}{7\times 7}$

Grouping the factors in pairs, we see that 3 is left unpaired
$\therefore$ Dividing 28812 by 3, the quotient will be a perfect square.