prime factorization

Meanings

nounprime factorization (plural prime factorizations)

mathematicsThe factorization of a positive integer into its constituent prime numbers.
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
Synonyms: integer factorization, prime decomposition

nounThe factorization of a positive integer into its constituent prime numbers.

Also see

Chinese Mandarin 分解質因數 /分解质因数

分解質因數 /分解质因数 (fēnjiě zhìyīnshù)factorization of a positive integer into its constituent prime numbers

Czech prvočíselný rozklad, rozklad na prvočísla

prvočíselný rozkladfactorization of a positive integer into its constituent prime numbers
rozklad na prvočíslafactorization of a positive integer into its constituent prime numbers

Danish primfaktoropløsning

primfaktoropløsningfactorization of a positive integer into its constituent prime numbers

Dutch priemfactorisatie

priemfactorisatiefactorization of a positive integer into its constituent prime numbers

Finnish alkutekijähajotelma

alkutekijähajotelmafactorization of a positive integer into its constituent prime numbers

French décomposition en facteurs premiers

décomposition en facteurs premiersfactorization of a positive integer into its constituent prime numbers

German Primfaktorzerlegung

Primfaktorzerlegungfactorization of a positive integer into its constituent prime numbers

Hungarian prímfaktorizáció, prímfelbontás

prímfaktorizációfactorization of a positive integer into its constituent prime numbers
prímfelbontásfactorization of a positive integer into its constituent prime numbers

Polish rozkład na czynniki pierwsze

rozkład na czynniki pierwszefactorization of a positive integer into its constituent prime numbers

Romanian prim-factorizare, factorizare în primi factori

prim-factorizarefactorization of a positive integer into its constituent prime numbers
factorizare în primi factorifactorization of a positive integer into its constituent prime numbers

Swedish primtalsfaktorisering

primtalsfaktoriseringfactorization of a positive integer into its constituent prime numbers

Tagalog balhong pagbungkag

balhong pagbungkagfactorization of a positive integer into its constituent prime numbers

Cite this entry

APA

prime factorization. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/prime%20factorization

MLA

“prime factorization.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/prime%20factorization. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “prime factorization,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/prime%20factorization.