factorize

F4A1C3T1O1R1I1Z10E1
/ˈfæktəɹaiz/

verb

To create a list of the factors of.

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Meanings

verbfactorize (third-person singular simple present factorizes, present participle factorizing, simple past and past participle factorized)

present singular third person factorizes · participle present factorizing · participle past factorized · past factorized · alternative factorise

  1. transitivemathematicsTo create a list of the factors of.
  2. transitivemathematicsTo divide an expression into a list of items that, when multiplied together, will produce the original quantity.
  3. UStransitiveTo warn not to pay or give up goods.
  4. UStransitiveTo attach the effects of a debtor in the hands of a third party.

Synonyms & antonyms

verbresolve (a polynomial) into factors

Similar

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

From factor + -ize.

Full word history & related roots →

Translations

Danish faktorisere, opløse i faktorer
  • faktoriserecreate a list of factors
  • opløse i faktorercreate a list of factors
  • faktoriseredivide an expression into listing items
Finnish jakaa tekijöihin, jakaa tekijöihin
  • jakaa tekijöihincreate a list of factors
  • jakaa tekijöihindivide an expression into listing items
French factoriser, factoriser
  • factorisercreate a list of factors
  • factoriserdivide an expression into listing items
Greek παραγοντοποιώ
  • παραγοντοποιώ (paragontopoió)divide an expression into listing items
Irish fachtóirigh, fachtóirigh
  • fachtóirighcreate a list of factors
  • fachtóirighdivide an expression into listing items
Italian fattorizzare, fattorizzare
  • fattorizzarecreate a list of factors
  • fattorizzaredivide an expression into listing items
Japanese 因数分解する
  • 因数分解する (insūbunkai suru)divide an expression into listing items
Māori whakatauwehe
  • whakatauwehedivide an expression into listing items
Norwegian Bokmål faktorisere, faktorisere
  • faktoriserecreate a list of factors
  • faktoriseredivide an expression into listing items
Portuguese fatorar, fatorar
  • fatorarcreate a list of factors
  • fatorardivide an expression into listing items
Spanish factorizar, factorizar
  • factorizarcreate a list of factors
  • factorizardivide an expression into listing items
Swedish faktorisera, faktorisera
  • faktoriseracreate a list of factors
  • faktoriseradivide an expression into listing items
Cite this entry
APA

factorize. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/factorize

MLA

“factorize.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/factorize. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “factorize,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/factorize.

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