Question

By which smallest number the given numbers below should be multiplied, so that the result becomes a perfect square

1008

Answer 1

By prime factorization of 1008, we get
1008 = (2 x 2) x (2 x 2) x (3 x 3 )x 7
Here, 2 and 3 are in pair, but 7 needs a pair to make 1008 a perfect square.
Thus, 1008 needs to be multiplied by 7 to become a perfect square.