The numbers 1, 2, 3, ..., 2007, 2008 are recorded on a sheet of paper. You may cross out any two numbers and replace them by their difference. If you repeat this operation enough times, a single number will be left. Is this number even or odd? Why?

Results 1 to 3 of 3

- November 18th 2008, 04:55 AM #1

- Joined
- Oct 2008
- Posts
- 124

## Even or Odd

The numbers 1, 2, 3, ..., 2007, 2008 are recorded on a sheet of paper. You may cross out any two numbers and replace them by their difference. If you repeat this operation enough times, a single number will be left. Is this number even or odd? Why?

- November 18th 2008, 05:07 AM #2

- November 18th 2008, 11:05 AM #3