Question

Is 9408 a perfect square ? Find the smallest number by which it should be divided to make it a perfect square.

Answer 1

First we write it as the product of prime factors



Prime factorisation are :

$9408=\underset{–}{2\times 2}\times \underset{–}{2\times 2}\times \underset{–}{2\times 2}\times \underset{–}{7\times 7}\times 3$

Now, 9408 is not a perfect square
To make 9408 a perfect square, we divide 9408 by 3.
Then the new number is 3136.