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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Updated on: 10-Oct-2022

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