\begin{definition}[Definition:Divisor (Algebra)/Factorization]
Let $x, y \in D$ where $\struct {D, +, \times}$ is an integral domain.
Let $x$ be a divisor of $y$.
Then by definition it is possible to find some $t \in D$ such that $y = t \times x$.
The act of breaking down such a $y$ into the product $t \circ x$ is called '''factorization'''.
\end{definition}