Find the number of zeros at the end of 50!

To find the number of zeros at the end of 50!, we need to find the number of times 10 is a factor in the numbers from 1 to 50.

A 10 is produced by multiplying 2 and 5. There are more than enough 2's in the numbers from 1 to 50, so we just need to count the number of 5's.

Here are the steps:

1. Divide 50 by 5. The result is 10. This means there are 10 numbers that are multiples of 5 between 1 and 50.

2. However, some numbers may have more than one 5 as a factor. For example, 25 is 5*5. So, we need to count these extra 5's. We do this by dividing 50 by 25. The result is 2.

3. Add the results from step 1 and step 2. So, 10 + 2 = 12.

Therefore, there are 12 zeros at the end of 50!.