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factorial (n.)

1816, in mathematics, from factor + -al (2). As an adjective from 1837 in mathematics; from 1881 as "pertaining to a factor."

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Definitions of factorial
1
factorial (n.)
the product of all the integers up to and including a given integer;
1, 2, 6, 24, and 120 are factorials
2
factorial (adj.)
of or relating to factorials;
From wordnet.princeton.edu