Question

Find the smallest number which 27783must be multiplied so that it becomes a perfect square?​

Answer 1

The prime factors of 27783 are:

3 × 3 × 3 × 3 × 7 × 7 × 7

Here, 7 has no pair.

By multiplying the number with 7, we get

27783 × 7 = 194481

= √441

Hence, the smallest number which 27783 must be multiplied so that it becomes a perfect square is 7.