## Trailing Zeroes

#### Problem

13! = 13 12 11 ... 2 1 = 6227020800, and it can be seen that 13! contains two trailing zeroes.

How many trailing zeroes does 1000! contain?

Problem ID: 174 (May 2004) Difficulty: 3 Star

13! = 13 12 11 ... 2 1 = 6227020800, and it can be seen that 13! contains two trailing zeroes.

How many trailing zeroes does 1000! contain?

Problem ID: 174 (May 2004) Difficulty: 3 Star