# Find the smallest number by which 5103 can be divided to get a perfect square. Also find the square root of the perfect square so obtained.

Given: 5103

To find: Here we have to find the smallest number by which 5103 can be divided to get a perfect square.

Solution:

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

5103 = 3 $\times$ 3 $\times$ 3 $\times$ 3 $\times$ 3 $\times$ 3 $\times$ 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.

$\frac{5103}{7} \ =\ 729$

729 is square of 27.

Therefore, 5103 has to be divided by 7 to obtain a perfect square.

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