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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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