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factorization

noun

Simple meaning

An expression listing items that, when multiplied together, will produce a desired quantity.

Pronunciation

Say it like this:

fakteruhzayshuhn

Say the bold part a little louder.

US device voice
IPA pronunciation (US)

ˈfæktɚəˈzeɪʃən

This word is pronounced essentially the same in American and British English, so one transcription covers both.

IPA (International Phonetic Alphabet) is a standard way of writing speech sounds.

Word Review

Definition

Everyday modern meanings first, grouped by part of speech.

noun

  1. mathematics

    An expression listing items that, when multiplied together, will produce a desired quantity.

  2. mathematics

    The process of creating a list of factors.

  3. mathematics

    The resolution of an expression into factors such that when multiplied together they give the original expression

Word at a Glance

Difficulty
C2 · Proficient (estimated)
Frequency
Uncommon
Formality
Technical

Word Aura™

How this word commonly comes across.

Aura for this meaning

This meaning: An expression listing items that, when multiplied together, will produce a desired quantity.

Used this way, factorization is a specialist word that usually carries little praise or criticism of its own. This is a mathematical use: it is defined precisely and belongs to working with figures and calculations rather than to ordinary conversation.

Emotional tone
Neutral
Formality
Specialist/technical
Intensity
Not strongly marked
How common
Specialized
Connotation
Clinical and technical
Usage feel
Technical and specialized

Where it naturally appears

  • Mathematics
  • Geometry
  • Academic writing
  • Education/classroom

Usage note

In general conversation this sense usually needs explaining — outside its field, people reach for a plainer word.

Nearby words

  • factorisation , rarer, so it draws attention

Word Aura describes common impressions, not a measurement. Tone changes with sentence, speaker, relationship and situation.

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Common Patterns and Combinations

How this word naturally appears with others.

integer factorizationmatrix factorizationfactorization methodfactorization theoremspectral factorizationapproximate factorizationfactorization algorithmcomplete factorization

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Word Family

Related forms, grouped by how they connect.

Word family

Words built from the same root.

  • factorynounDerived noun · specialist

    A plant consisting of one or more buildings with facilities for manufacturing.

  • factorialnounDerived noun · specialist

    The product of all the integers up to and including a given integer.

More about this wordSynonyms, forms, origin

Synonyms

Sense: expression listing items that or when multiplied together

factorisationRarefactoring

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Dictionary data from Wiktionary via the Free Dictionary API. Simple meanings, combinations and word intelligence are built from verified reference data, no AI is used to load this page.