# Definition:Even Integer/Even-Times Odd

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## Definition

Let $n$ be an integer.

Then $n$ is **even-times odd** if and only if it has $2$ as a divisor and also an odd number.

The first few non-negative **even-times odd** numbers are:

- $2, 6, 10, 12, 14, 18, \ldots$

## Euclid's Definition

In the words of Euclid:

*An***even-times odd number**is that which is measured by an even number according to an odd number.

(*The Elements*: Book $\text{VII}$: Definition $9$)