MathematicsThe smallest whole number by which 1008 should be multiplied so as to get a perfect square number is ____.

The smallest whole number by which 1008 should be multiplied so as to get a perfect square number is ____.

The smallest whole number by which 1008 should be multiplied so as to get a perfect square number is 7.
Given a number 1008.

1008 = 2

\times

\times

\times

\times

\times

\times

7
Here, prime factor 7 has no pair. Therefore 1008 must be multiplied by 7 to make it a perfect square.

JEE