Category:Sets of Integer Multiples

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This category contains results about Sets of Integer Multiples.


The set $n \Z$ is defined as:

$\set {x \in \Z: n \divides x}$

for some $n \in \Z_{>0}$.


That is, it is the set of all integers which are divisible by $n$, that is, the set of integer multiples of $n$.

Thus we have:

$n \Z = \set {\ldots, -3 n, -2 n, -n, 0, n, 2 n, 3 n, \ldots}$