Permutation and Combination - Fundamental Counting Principle

Permutation and Combination - Fundamental Counting Principle

The number \(113400\) can be expressed in prime factors \({{2}^{3}}\times {{3}^{4}}\times {{5}^{2}}\times 7\). Excluding \(1\) and \(113400\), how many positive integers are factors of \(113400\)?

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Answer:\(118\)

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