#### Tell students that you are going to test their division skills by doing the following experiment:

1. Pick any three-digit number that you wish.

2. Write it down then write it down again to make a six-digit number.

For example, if you chose 428, then write down 428428.

3. Now divide this six-digit number by 7. You shouldn't get a remainder.

4. Divide the quotient by 11, again you shouldn't get a remainder.

5. Divide that quotient by 13, and again you shouldn't get a remainder.

6. What is your answer?

How does it work?

You should get your original answer back. |

When you formed the six digit number, you actually multiplied by 1,001. |

The factors of 1,001 are 7, 11, and 13. |