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    Question

    If total number of factors of 1,080 is 'x', then find

    the value of (x - 4)(x + 3).
    A 840 Correct Answer Incorrect Answer
    B 900 Correct Answer Incorrect Answer
    C 980 Correct Answer Incorrect Answer
    D 1020 Correct Answer Incorrect Answer

    Solution

    Factors of 1,080 = 2³ × 3³ × 5
    So, total number of factors = (3 + 1)(3 + 1)(1 + 1) = 4 × 4 × 2 = 32
    Required value = (x - 4)(x + 3) = (32 - 4)(32 + 3) = 28 × 35 = 980

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