Set of Integer Multiples/Examples

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Examples of Sets of Integer Multiples

Set of Even Numbers

The set of even integers is defined as:

$2 \Z := \set {x \in \Z: 2 \divides x}$

That is:

$2 \Z := \set {\ldots, -6, -4, -2, 0, 2, 4, 6, \ldots}$