factorization

English

Alternative forms

Etymology

Etymology tree
Proto-Indo-European *dʰeh₁-
Proto-Indo-European *dʰeh₁k-
Proto-Indo-European *-yéti
Proto-Indo-European *dʰh₁kyéti
Proto-Italic *θakjō
Proto-Italic *fakjō
Latin faciō
Proto-Indo-European *-tōr
Proto-Italic *-tōr
Latin -tor
Latin factorbor.
Middle French facteurbor.
▲
Latin factorbor.
Anglo-Norman factourbor.
Middle English factour
English factor
Proto-Indo-European *-id-
Proto-Indo-European *-yéti
Proto-Indo-European *-idyéti
Proto-Hellenic *-íd͏̌d͏̌ō
Ancient Greek -ῐ́ζω (-ĭ́zō)bor.
Late Latin -izōder.
Middle French -iserbor.
Middle English -isen
English -ize
English factorize
Proto-Indo-European *-tós
Proto-Indo-European *-is
Proto-Indo-European *-tis
Proto-Indo-European *-Hō
Proto-Indo-European *-tiHō
Proto-Italic *-tiō
Latin -tiō
Latin -ātiōlbor.
Old French -ationbor.
Middle English -acioun
English -ation
English factorization

    From factorize + -ation.

    Noun

    factorization (countable and uncountable, plural factorizations)

    1. (mathematics) The process of creating a list of factors.
      • 2013 October 23, Tina Rosenberg, “In ‘Flipped’ Classrooms, a Method for Mastery”, in The New York Times‎[1], New York, N.Y.: The New York Times Company, →ISSN, →OCLC, archived from the original on 9 April 2025:
        A fifth-grade class will spend a set number of days on prime factorization and then move on to study greatest common factors — whether or not every student is ready.
    2. (mathematics) An expression listing items that, when multiplied together, will produce a desired quantity.
    3. A list of factors.
      • 1991, Paulo Ribenboim, The Little Book of Big Primes‎[2], page 172:
        Actual factorizations are now known for every p ≤ 89.

    Derived terms

    Translations

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