Question

Find the smallest natural number by which 980 should be multiplied to make it a perfect square.

Answer 1

Prime Factors of $980=2\times 2\times 5\times 7\times 7$

Here, $2,7$ are occurring two times but $5$ is occurring only one time. Therefore, the given number has to be multiplied by $5$.

Multiplied number $=2\times 2\times 5\times 5\times 7\times 7=4900$ is a perfect square of $70$.

Smallest multiplied number$=5$