factorization

F4A1C3T1O1R1I1Z10A1T1I1O1N1

noun

The process of creating a list of factors.

Less commonScrabble 27

Meanings

nounfactorization (countable and uncountable, plural factorizations)

plural factorizations · alternative factorisation

  1. countableuncountablemathematicsThe process of creating a list of factors.

    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.

    2013 October 23, Tina Rosenberg, “In ‘Flipped’ Classrooms, a Method for Mastery”, in The New York Times
  2. countableuncountablemathematicsAn expression listing items that, when multiplied together, will produce a desired quantity.
  3. countableuncountableA list of factors.

    Actual factorizations are now known for every p ≤ 89.

    1991, Paulo Ribenboim, The Little Book of Big Primes, page 172

Synonyms & antonyms

noun(mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression

Also see

Synonym sets from Open English WordNet, CC BY 4.0.

Origin

  1. Proto-Indo-European*dʰeh₁-
  2. Proto-Indo-European*dʰeh₁k-
  3. Proto-Indo-European*dʰh₁kyéti
  4. Proto-Italic*θakjō
  5. Proto-Italic*fakjō
  6. Latinfaciō
  7. Latinfactor
  8. Middle Frenchfacteur
  9. Latinfactor
  10. Anglo-Normanfactour
  11. Middle Englishfactour
  12. Englishfactor
  13. Englishfactorize
  14. Englishfactorization

From factorize + -ation.

Full word history & related roots →

Translations

Finnish tekijöiden tulo, tekijöihin jakaminen
  • tekijöiden tuloexpression listing factors
  • tekijöihin jakaminencreating a list of factors
  • tekijöihinjakocreating a list of factors
  • tekijätlist of factors
French factorisation
  • factorisationcreating a list of factors
Greek παραγοντοποίηση
  • παραγοντοποίηση (paragontopoíisi)creating a list of factors
Hindi गुणनखण्ड
  • गुणनखण्ड (guṇankhaṇḍ)creating a list of factors
Indonesian faktorisasi, pemfaktoran
  • faktorisasicreating a list of factors
  • pemfaktorancreating a list of factors
Irish fachtóiriú
  • fachtóiriúcreating a list of factors
Malay pemfaktoran
  • pemfaktorancreating a list of factors
Polish faktoryzacja, faktoryzacja
  • faktoryzacjaexpression listing factors
  • faktoryzacjacreating a list of factors
  • rozkład na czynnikicreating a list of factors
  • faktoryzacjalist of factors
Portuguese fatorização, fatoração
  • fatorizaçãocreating a list of factors
  • fatoraçãocreating a list of factors
  • fatoraçãolist of factors
  • fatorizaçãolist of factors
Spanish factorización, factorización
  • factorizaciónexpression listing factors
  • factorizacióncreating a list of factors
Swedish faktorisering, faktorisering
  • faktoriseringexpression listing factors
  • faktoriseringcreating a list of factors
Tagalog pagbungkag
  • pagbungkagcreating a list of factors
Cite this entry
APA

factorization. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/factorization

MLA

“factorization.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/factorization. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “factorization,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/factorization.

Source: factorization on Wiktionary, CC BY-SA 4.0.