El productorio o productoria, también conocido como multiplicatoria o simplemente producto (por denotarse como una letra pi mayúscula), es un notación matemática que representa una multiplicación de una cantidad arbitraria (finita o infinita).

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In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. Thus, for instance, 6 is the product of 2 and 3 (the result of multiplication), and is the product of and (indicating that the two factors should be multiplied together). The order in which real or complex numbers are multiplied has no bearing on the product; this is known as the commutative law of multiplication. When matrices or members of various other associative algebras are multiplied, the product usually depends on the order of the factors. Matrix multiplication, for example, and multiplication in other algebras is in general non-commutative. There are many different kinds of products in mathematics: besides being able to multiply just numbers, polynomials or matricies, one can also define products on many different algebraic structures. An overview of these different kinds of products is given here.

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