Factoring

Mathematician's Definition
Factoring refers to the following process: one is given an algebraic expression $$E$$. One finds a collection of expressions $$F_1, F_2, \ldots, F_n$$, for which $$E = \prod_{i=1}^n F_i$$. Finding such an equality is called "Factoring $$E$$ into $$F_1, \ldots, F_n$$".

Typically, one wishes to factor one type of expression into other specified types of expressions. For example, one might wish to factor positive integers into prime numbers, or polynomials into linear polynomials.

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