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General

Easy

Question

# Find the smallest number by which 8075 should be divided to get a perfect number ?

What is the perfect square number so obtained ? Find the square root of this number ?

Hint:

### By prime Factorize the given number and we find the number to be divided to get the perfect square.

## The correct answer is: 5

### we have to divide by 5 to obtain 25 whose square root is 5

Explanation:-

prime factorize 8075

8075 = 5×1615

=5×5×323

=5×5×17×19

=

To get the perfect square the powers of prime numbers in factorization should be divisible by 2. We know is already a perfect square.

So we divide the number by 323 to get the number 25

25 is the perfect square obtained .

The square root of 25 is 5.

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