Question

By which number, 588 be multiplied so as to get a perfect square?

• A. 5
• B. 7
• C. 3
• D. 2

Answer 1

The correct option is C

3

We have:

588 = 2 x 2 x 3 x 7 x 7

As the prime factor 3 has no pair, 588 is not a perfect square.

If 3 gets a pair, then the number will become a perfect square. Therefore, 588 has to be multiplied with 3 to obtain a perfect square.

Therefore, 588 x 3 = 1764 is a perfect square.