Question

Find the number by which 4732 should be divided to get perfect square.

Answer 1

The required number is 7.

Dividing by this gives the perfect square 676.

Explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169

13

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.