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    Question

    Determine the total count of prime factors in the

    product: 217┬аx 197┬аx 107
    A 14 Correct Answer Incorrect Answer
    B 35 Correct Answer Incorrect Answer
    C 28 Correct Answer Incorrect Answer
    D 21 Correct Answer Incorrect Answer

    Solution

    For a number (N) whose prime factorization is of the form, N = ap┬аX bq┬аX cr, where 'a', 'b' and 'c' are prime numbers, then total number of prime factors of the number 'N' will be = (p + q + r)

    Given expression: 217┬аX 197┬аX 107┬а= 37┬аX 77┬аX 197┬аX 27┬аX 57

    Therefore, total number of prime factors = (7 + 7 + 7 + 7 + 7) = 35

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