Definition:Set of Integer Multiples

Definition
The set $$n \Z$$ is defined as:
 * $$\left\{{x \in \Z: n \backslash x}\right\}$$

for some $$n \in \N$$.

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

Thus we have:
 * $$n \Z = \left\{{\ldots, -3n, -2n, -n, 0, n, 2n, 3n, \ldots}\right\}$$