So here goes my problem. I amnot allowed a calculatorthrough this problem...

4! = 4 x 3 x 2 x 1

5! = 5 x 4 x 3 x 2 x 1 etc

How many zeros are there at the end of 50! ?

It would take me hours to do 50! = 50 x 49 x....x 1 by hand so how can I show the number of zeros at the end of 50! ?

All I have done so far is to try and see a pattern but I am stuck... Please help

1! = 1

2! = 2 x 1

3! = 3 x 2 x 1

4! = 4 x 3 x 2 x 1

5! = 5 x 4 x 3 x 2 x 1

6! = 6 x 5 x 4 x 3 x 2 x 1

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1