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Find the smallest number by which 6627 must be multiplied to make it a perfect square.
Question

Find the smallest number by which 6627 must be multiplied to make it a perfect square.

A.

4

B.

11

C.

7

D.

3

Correct option is D

 Given:
Number = 6627
We are required to find the smallest number by which 6627 must be multiplied to make it a perfect square.
Solution:
First, we need to find the prime factorization of 6627.
Prime Factor of 6627 = 3×47×47=3×4723 \times 47 \times 47 = 3 \times 47^2​​
To make it a perfect square, all prime factors should appear an even number of times.
Here, 3 appears once, so we need to multiply by 3 to make it even.
The smallest number by which 6627 must be multiplied to make it a perfect square is: 3.


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