Find the number of zeros in 101!

Sure, to find the number of zeros in 101 factorial, we need to find the number of times 10 is a factor in the product. Since 10 is a product of 2 and 5, we need to count the number of times 2 and 5 appear as factors. However, since 2 appears more frequently than 5, we just need to count the number of times 5 appears as a factor.

Here are the steps:

1. Divide 101 by 5, you get 20. This is the number of numbers less than 101 that are divisible by 5.

2. Divide 101 by 25 (5^2), you get 4. This is the number of numbers less than 101 that are divisible by 25 (or 5 twice).

3. Divide 101 by 125 (5^3), you get 0. This is the number of numbers less than 101 that are divisible by 125 (or 5 three times).

4. Add up these counts: 20 + 4 + 0 = 24.

So, there are 24 zeros at the end of 101 factorial.