factorial C2+ Topic:Numbers & Quantity US /fækˈtɔriəl/ UK /fækˈtɔːriəl/ See IPA manual Meanings 1 noun the product of all positive integers up to a given number The factorial of five is one hundred and twenty. Thesaurus Word family Related forms factorfactorizefaction Etymology AI details From factor + -ial. Factor derives from Latin factor ('doer, maker'), from facere ('to do, make'). The mathematical sense was coined in the early 19th century. factor Latin facere Latin View etymology graph -> Topics Numbers & Quantity Word Formation & Derivatives External links Cambridge Dictionary Wiktionary Google Images # factorial **Type:** Word **Level:** C2+ **Part of speech:** noun **IPA (US):** /fækˈtɔriəl/ **IPA (UK):** /fækˈtɔːriəl/ ## Meanings 1. the product of all positive integers up to a given number ## Examples - The factorial of five is one hundred and twenty. ## Related Forms - factor - factorize - faction ## Roots and Affixes - Root: factor - Root: facere ## Etymology From factor + -ial. Factor derives from Latin factor ('doer, maker'), from facere ('to do, make'). The mathematical sense was coined in the early 19th century. ## AI Etymology Factorial is from factor + -ial. Factor derives from Latin factor ('doer, maker'), from facere ('to do, make'). The mathematical sense was coined in the early 19th century. Important recorded forms include factor (Latin) and facere (Latin). Morphologically, the word is a built form whose named elements carry part of the historical sense. The current sense covers the product of all positive integers up to a given number. The wider family includes related words such as factor, factorize, and faction. ## Topics - Numbers & Quantity - Word Formation & Derivatives markdown