# Thread: factorial problem.

1. ## factorial problem.

The number 2008! means the product of all the integers 1,2,3,4,...., 2007,2007. With how many zeroes does 2008! end?

any help would be so much appreciated!
thank you in advance!

2. Hello,
Originally Posted by z1llch
The number 2008! means the product of all the integers 1,2,3,4,...., 2007,2007. With how many zeroes does 2008! end?

any help would be so much appreciated!
thank you in advance!
Your problem is equivalent to finding the greatest n such that $10^n$ divides 2008!