**Hints for problem of elimination: **You might get an intuitive feeling that 1 and 3 are too small, leaving you with three choices. Even if you don’t know the full answer, you must guess at this point.

Read on for a full solution.

**Hints for problem of elimination: **You might get an intuitive feeling that 1 and 3 are too small, leaving you with three choices. Even if you don’t know the full answer, you must guess at this point.

Read on for a full solution.

An integer $latex x $ has $latex n $ zeros at the end if and only if it is divisible by $latex 10^n $. For example, 12,500,000 is divisible by $latex 10^5 $ but not by $latex 10^6 $.

How many zeros are at the end of $latex 1 \times 2 \times 3 \times \cdots \times 100$?

Solutions, hints, and questions are welcomed. A full solution will be posted on October 12th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

**Hints for problem of elimination: **You might get an intuitive feeling that 1 and 3 are too small, leaving you with three choices. Even if you don’t know the full answer, you must guess at this point.

Read on for a full solution.

An integer $latex x $ has $latex n $ zeros at the end if and only if it is divisible by $latex 10^n $. For example, 12,500,000 is divisible by $latex 10^5 $ but not by $latex 10^6 $.

How many zeros are at the end of $latex 1 \times 2 \times 3 \times \cdots \times 100$?

Solutions, hints, and questions are welcomed. A full solution will be posted on October 12th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.