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    What is the least number which, when multiplied by 28, forms a perfect square?
    Question

    What is the least number which, when multiplied by 28, forms a perfect square?

    A.

    14

    B.

    2

    C.

    7

    D.

    4

    Correct option is C


    Perform the prime factorization: 28 = 22.7 For a number to be a perfect square, all prime factors must have even powers.
    28 = 22.7
    The power of 2 is already even (22).
    The power of 7 is odd (71). To make 28 a perfect square, the power of 7 must also be even.
    Multiply 28 by 7:
    28⋅7 = 196 = 22.72
    The least number which when multiplied by 28 forms a perfect square is 7.

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