Phrase guide

prime factorization

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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No pronunciation record was provided for this word.

1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: integer factorization, prime decomposition

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

15 source translations are retained for this English entry.

  • Chinese Mandarin: 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 — factorization of a positive integer into its constituent prime numbers
  • Czech: rozklad na prvočísla — factorization of a positive integer into its constituent prime numbers
  • Danish: primfaktoropløsning — factorization of a positive integer into its constituent prime numbers
  • Dutch: priemfactorisatie — factorization of a positive integer into its constituent prime numbers
  • Finnish: alkutekijähajotelma — factorization of a positive integer into its constituent prime numbers
  • French: décomposition en facteurs premiers — factorization of a positive integer into its constituent prime numbers
  • German: Primfaktorzerlegung — factorization of a positive integer into its constituent prime numbers
  • Hungarian: prímfaktorizáció — factorization of a positive integer into its constituent prime numbers
  • Hungarian: prímfelbontás — factorization of a positive integer into its constituent prime numbers
  • Polish: rozkład na czynniki pierwsze — factorization of a positive integer into its constituent prime numbers
  • Romanian: prim-factorizare — factorization of a positive integer into its constituent prime numbers
  • Romanian: factorizare în primi factori — factorization of a positive integer into its constituent prime numbers
  • Swedish: primtalsfaktorisering — factorization of a positive integer into its constituent prime numbers
  • Tagalog: balhong pagbungkag — factorization of a positive integer into its constituent prime numbers