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mathURGENT!!!!!!

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what is the greatest value of m such that 25!/5^m is an integer? hint: the exclamation point means "factorial". 3!=3*2*1=6
4!=4*3*2*1=24 etc.
please answer and explain how you got it!!!!please???

  • mathURGENT!!!!!! - ,

    25!

    25...........1

    The question is how many numbers between 25 and 1 are divisble by 5

    25 = 5 times 5
    20 = 5 times 4
    15 = 5 times 3
    10 = 5 times 2
    5 = 5 times 1

    5^6

    so, I think m = 6 is the answer.

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