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    Find the number of factors of 60.
    Question

    Find the number of factors of 60.

    A.

    14

    B.

    10

    C.

    15

    D.

    12

    Correct option is D

    Given
    Number = 60

    Solution
    Prime factorization of 60 = 22×31×51 2^2 \times 3^1 \times 5^1​​
    Number of factors = (power of 2 + 1)(power of 3 + 1)(power of 5 + 1)
    Factors = (2+1)(1+1)(1+1)=3×2×2=12 (2 + 1)(1 + 1)(1 + 1) = 3 \times 2 \times 2 = 12​​

    Final Answer
    So the correct answer is (d)

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