Find the smallest number by which 5103 must be divided to get a perfect square.

Asked by Topperlearning User | 19th Feb, 2014, 01:30: PM

Expert Answer:

First of all we will find the prime factors of 5103.

3

5103

3

1701

3

567

3

189

3

63

3

21

7

7

1

5103 = 3 x 3 x 3 x 3 x 3 x 3 x 7

Here, prime factor 7 does not have its pair.

If we divide the number 5103 by 7, then the number will become a perfect square. Therefore, 5103 has to be divided by 7 to obtain a perfect square.

Answered by  | 19th Feb, 2014, 03:30: PM

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