The term "product" refers to the result of one or more multiplications . For example, the mathematical statement would be read " times equals ," where is called the multiplier , the multiplicand
and is their product. In addition, and
are factors of .

More generally, it is possible to take the product of many different kinds of mathematical objects, including those that are not numbers. For example, the product of two sets
is given by the Cartesian product . In topology ,
the product of spaces can be defined by using the product
topology . The product of two groups , vector
spaces , or modules is given by the direct
product . In category theory , the product of
objects is given using the category
product .

The product symbol is defined by

(1)

Useful product identities include

See also Cartesian Product ,

Category Product ,

Cauchy Product ,

Cross
Product ,

Cumulative Product ,

Direct
Product ,

Dot Product ,

Factor ,

Graph Product ,

Inner
Product ,

Jordan Product ,

Matrix
Product ,

Multiplication ,

Multiplicand ,

Multiplier ,

Nonassociative
Product ,

Outer Product ,

Prime
Products ,

Product Topology ,

Sum ,

Tensor Product ,

Times ,

Vector Triple Product
Portions of this entry contributed by John
Renze

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Cite this as:
Renze, John and Weisstein, Eric W. "Product." From MathWorld --A Wolfram
Web Resource. https://mathworld.wolfram.com/Product.html

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