Find the smallest number by which 2527 must be multiplied to make it a perfect square.

Correct option is C

Given:

The number is 2527

The smallest number by which 2527 must be multiplied to make it a perfect square

Solution:

The prime factorization of 2527

2527 = $$7 \times 19 \times 19$$​​

To make this a perfect square, the factor 7 needs to be squared (i.e., multiplied by 7).

Thus, the smallest number by which 2527 must be multiplied to make it a perfect square is: 7