Phrase guide

prime factor

noun · verb · 4 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

A factor of a given integer which is also a prime number.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, number-theory, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

Used other than figuratively or idiomatically: see prime, factor.

Definition source: English Wiktionary via Wiktextract

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

verb

Meaning 3

To reduce an integer to its set of prime factors.

Definition source: English Wiktionary via Wiktextract

Usage: transitive

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

noun

Meaning 4

the prime factors of a quantity are all of the prime quantities that will exactly divide the given quantity

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: divisor, factor

History

Etymology

No etymology was provided for this word.

Across languages

Translations

23 source translations are retained for this English entry.

  • Chinese Mandarin: 質因數 /质因数 (zhìyīnshù) — factor
  • Esperanto: prima faktoro — factor
  • Esperanto: prima faktorigo — factor
  • Finnish: alkutekijä — factor
  • French: facteur premier — factor
  • German: Primfaktor — factor
  • Hungarian: prímtényező — factor
  • Indonesian: faktor prima — factor
  • Irish: fachtóir príomha — factor
  • Italian: fattore primo — factor
  • Japanese: 素因数 (soinsū) — factor
  • Malay: faktor perdana — factor
  • Manx: ard-faghteyr — factor
  • Māori: tauwehe toitū — factor
  • Norwegian: primfaktor — factor
  • Polish: czynnik pierwszy — factor
  • Romanian: factor prim — factor
  • Russian: просто́й дели́тель (prostój delítelʹ) — factor
  • Finnish: jakaa alkutekijöihin — Translations
  • French: décomposer en facteurs premiers — Translations
  • Polish: rozkładać na czynniki pierwsze — Translations
  • Polish: rozłożyć na czynniki pierwsze — Translations
  • Vietnamese: thừa số nguyên tố — Translations