: Mathematics: factorization

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factorization

In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, $3 \times 5$ is an integer factorization of $15$ , and $(x - 2)(x + 2)$ is a polynomial factorization of $x 2 - 4$ . Factorization is not usually considered meaningful within number systems possessing division, such as the real or complex numbers, since any ${\\displaystyle x}$ can be trivially written as ${\\displaystyle (xy)\ imes (1/y)}$ whenever ${\\displaystyle y}$ is not zero. However, a meaningful factorization for a rational number or a rational function can be obtained by writing it in lowest terms and separately factoring its numerator and denominator.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Factorization)

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