If 100! = 100 x 99 x…x 2 x 1 can be written as (2^a)(3^b)(5^c)(7^d)., what is a?

[GMAT math practice question] If \(100! = 100 x 99 xx 2 x 1\) can be written as \((2^a)(3^b)(5^c)(7^d)\)., what is \(a\)? A. \(86\) B. \(97\) C. \(108\) D. \(119 \) E. \(131\)

Answer: B

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