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➗ To split into factors 🔢 To break into matrices
to factorize

to factorize

8.1
To write a math expression as parts that multiply together
  • verb
  • /ˈfæktəˌraɪz/
  • Specialized
translation icon : factorizar
  • The students practiced how to factorize expressions during their mathematics homework.

Examples

  • Anytime you see a difference of squares like this, you can factorize it in this way.

  • OK, and actually you can factorize out the common components.

  • Your quantum computer will be able to factorize that 129-digit number in a few minutes instead of months.

    Fiction book (1999)

  • But to factorize that long number—to find which two prime numbers were multiplied—takes even the best computer months and months.

    Fiction book (1999)

  • To solve the equation, you need to factorize the polynomial into simpler terms.

  • In algebra class, we learned how to factorize quadratic equations for easier solving.

Synonyms

to factor
vsto factorize
3 6.6

To break a number or expression into numbers that multiply to it

is the general mathematical process often used for polynomials as well as numbers
to factor out
vsto factorize
  • Specialized
5.7

Write a number or expression as a product of smaller numbers

is the general mathematical process of resolving expressions into products

Surface Forms

factorize infinitive
factorized past
factorized past participle
factorizing present participle
factorizes third person singular

Morphology

factorize = factor (transparent) = factor + ize

Formed by adding the productive verb-forming suffix '-ize' to 'factor'; the meaning 'to make into factors' is directly derivable and applies to polynomials and matrices alike.

Etymology

Factorize comes from factor plus the ending -ize, and factor comes from an old idea meaning 'to make' and now means 'a part that helps make a number or expression'. So to factorize a number or polynomial is to 'turn it into factors' or to break it into simpler parts.