# Category:Even Integers

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This category contains results about **Even Integers**.

Definitions specific to this category can be found in Definitions/Even Integers.

### Definition 1

An integer $n \in \Z$ is **even** if and only if it is divisible by $2$.

### Definition 2

An integer $n \in \Z$ is **even** if and only if it is of the form:

- $n = 2 r$

where $r \in \Z$ is an integer.

### Definition 3

An integer $n \in \Z$ is **even** if and only if:

- $x \equiv 0 \pmod 2$

where the notation denotes congruence modulo $2$.

## Also see

## Subcategories

This category has the following 2 subcategories, out of 2 total.

### E

- Even Integer Plus 5 is Odd (4 P)

### S

- Sum of Even Integers is Even (3 P)

## Pages in category "Even Integers"

The following 12 pages are in this category, out of 12 total.