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    Question

    What will be the number of factors of

    1707552?
    A 162 Correct Answer Incorrect Answer
    B 158 Correct Answer Incorrect Answer
    C 142 Correct Answer Incorrect Answer
    D 126 Correct Answer Incorrect Answer

    Solution

    1707552 = 2 ├Ч 2 ├Ч 2 ├Ч 2 ├Ч 2 ├Ч 3 ├Ч 3 ├Ч 7 ├Ч 7 ├Ч 11 ├Ч 11

    = 2 5 ┬а├Ч 3 2 ┬а├Ч 7 2 ┬а├Ч 11 2

    So, number of factors = (5 + 1)(2 + 1)(2 + 1)(2 + 1) = 6 ├Ч 3 ├Ч 3 ├Ч 3 = 162

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