factorize

English

Alternative forms

• factorise (mainly British)

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 *-íďďō

Ancient Greek -ῐ́ζω (-ĭ́zō)bor.

Late Latin -izōder.

Middle French -iserbor.

Middle English -isen

English -ize

English factorize

From factor + -ize.

Pronunciation

• IPA^(key): /ˈfæktəɹaiz/

• Audio (Southern England):

  (file)

Verb

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

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

Derived terms

• factorizable
• factorizer
• refactorize
• unfactorized

Related terms

• factor
• factorization

Translations

create a list of factors

• Danish: faktorisere, opløse i faktorer
• Finnish: jakaa tekijöihin
• French: factoriser (fr)
• Georgian: მარტივ მამრავლებად დაშლა (marṭiv mamravlebad dašla)
• Irish: fachtóirigh
• Italian: fattorizzare (it)
• Kyrgyz: көбөйтүүчүлөргө ажыратуу (ky) (köböytüücülörgö ajıratuu)
• Norwegian:

  Bokmål: faktorisere (no)

• Portuguese: fatorar (pt)
• Spanish: factorizar (es)
• Swedish: faktorisera (sv)

divide an expression into listing items

• Danish: faktorisere
• Finnish: jakaa tekijöihin
• French: factoriser (fr)
• Greek: παραγοντοποιώ (el) (paragontopoió)
• Irish: fachtóirigh
• Italian: fattorizzare (it)
• Japanese: 因数分解する (insūbunkai suru)
• Māori: whakatauwehe
• Norwegian:

  Bokmål: faktorisere (no)

• Portuguese: fatorar (pt)
• Spanish: factorizar (es)
• Swedish: faktorisera (sv)

Portuguese

Verb

factorize

1. inflection of factorizar:
   1. first/third-person singular present subjunctive
   2. third-person singular imperative