Question

    If total number of factors of 6,615 is 'x', then find

    the value of (x - 2)(x + 4).
    A 240 Correct Answer Incorrect Answer
    B 260 Correct Answer Incorrect Answer
    C 270 Correct Answer Incorrect Answer
    D 280 Correct Answer Incorrect Answer

    Solution

    Factors of 6,615 = 3 × 5 × 13 × 17
    So, total number of factors = (1 + 1)⁴ = 2 × 2 × 2 × 2 = 16
    Required value = (x - 2)(x + 4) = (16 - 2)(16 + 4) = 14 × 20 = 280

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