Question

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???

Answer 1

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.