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An odd number is an integer that is not even. In other words, odd numbers are integers not divisible by 2, like the following numbers. -5, -3, -1, 1, 3, 5 ... All these numbers are not multiples of 2 and result in a not integer rational number when divided by 2.
| n | n/2 | n/2=k | Odd? |
|---|---|---|---|
| -5 | -5/2 | - 2.5 | Yes |
| - 3 | - 3/2 | - 1.5 | Yes |
| - 1 | - 1/2 | - 0.5 | Yes |
| 1 | 1/2 | 0.5 | Yes |
| 3 | 3/2 | 1.5 | Yes |
| 5 | 5/2 | 2.5 | Yes |
Odd numbers are usually defined as all numbers n that can be written in the form n=2k+1, where k is an integer.