Definition:Divisor (Algebra)

Integers
As the set of integers form an integral domain, the concept divides is fully applicable to the integers.

Real Numbers
The concept of divisibility can also be applied to the real numbers $\R$.

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

If $x \mathrel \backslash y$, then $x$ may also be referred to as an aliquot part of $y$.

Some sources insist that $x$ must be a proper divisor of $y$ for this term to apply.

If $x \nmid y$, then $x$ may be referred to as an aliquant part.