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    Question

    If total number of factors of 2,430 is 'x', then find

    the value of (x - 6)(x + 1).
    A 400 Correct Answer Incorrect Answer
    B 420 Correct Answer Incorrect Answer
    C 450 Correct Answer Incorrect Answer
    D 460 Correct Answer Incorrect Answer

    Solution

    Factors of 2,430 = 2 ├Ч 3тБ╡ ├Ч 5
    So, total number of factors = (1 + 1)(5 + 1)(1 + 1) = 2 ├Ч 6 ├Ч 2 = 24
    Required value = (x - 6)(x + 1) = (24 - 6)(24 + 1) = 18 ├Ч 25 = 450

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