Question:
Find the smallest number by which 4851 must be multiplied so that the product becomes a perfect suqare.
Solution:
Prime factorisation of 4851:
4851 = 3 x 3 x 7 x 7 x 11.png)
Grouping them into pairs of equal factors:
4851 = (3 x 3) x (7 x 7) x 11
The factor, 11 is not paired. The smallest number by which 4851 must be multiplied such that the resulting number is a perfect square is 11.