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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 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 11

    = 2 5  × 3 2  × 7 2  × 11 2

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

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