Definition:Divisor (Algebra)/Integer

Definition
Let $\left({\Z, +, \times}\right)$ be the ring of integers.

Let $x, y \in \Z$.

Then $x$ divides $y$ is defined as:
 * $x \mathrel \backslash y \iff \exists t \in \Z: y = t \times x$

Also known as
A divisor is also known as a factor.

Generalizations

 * Definition:Divisor of Ring Element