Wouter,
OK I did a little digging around the web to try and find out how to show more cleanly what I did. I actually searched for "number of zeros in 100 factorial" via google.
Maybe I had done this calc in the past as part of my studies into Maths as part of my A levels and then deciding weather or not to take maths into a degree (I did not, I studied Computing, Management and software design).
I did essentially what is described
here.
This is also worth a read "interesting" to see what happens with 1,000,000! <img src="http://www.catsailor.com/forums/images/graemlins/grin.gif" alt="" />
More
here and
here