Factorial Trailing Zeroes — Step-by-Step Visualization

Algorithm Pattern

Count Factors of 5

Key Idea

Trailing zeros = count of 5s in n! = ⌊n/5⌋ + ⌊n/25⌋ + ...

Step-by-Step Approach

1. While n >= 5:
2. n = n // 5
3. count += n
4. Return count