Definition:Multiplication/Multiplicand

Definition
Let $a \times b$ denote the operation of multiplication on two objects.

The object $b$ is known as the multiplicand of $a$.

That is, it is the object which is to be multiplied by the multiplier.

Note that the nature of $a$ and $b$ has deliberately been left unspecified.

They could be, for example, numbers, matrices or more complex expressions constructed from such elements.

Also defined as
In the context of product notation, for example $\ds \prod_{i \mathop \in S} a_i$, each of the objects $a_i$ are referred to as the multiplicands of the expression.

Also known as
In algebraic systems where multiplication is commutative, it is commonplace to treat both the multiplier and multiplicand as the same sort of object, and refer to them both as factors.