Question

Find the smallest number by which 27783 must be multipled to get a perfect square number.

Answer 1

The prime factor of 27783 are

$=3\times 3\times 3\times 3\times 7\times 7\times 7=(3\times 3\times 3\times )\times (7\times 7\times 7\times )\times 3$

Clearly,27783 must be multipled by $3\times 3=9$.