Factorize: meaning, definitions and examples
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factorize
[ ˈfæktəˌraɪz ]
mathematics
To express a number or algebraic expression as the product of its factors. Factorizing involves finding the prime numbers or algebraic expressions that can multiply together to give the original number or expression.
Synonyms
break down, decompose, factor.
Which Synonym Should You Choose?
| Word | Description / Examples |
|---|---|
| factorize |
Used in mathematics to describe the process of breaking down a number or an expression into a product of its factors.
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| factor |
Similar to 'factorize,' used in mathematics to describe breaking down a number or expression into its factors. It's slightly less formal.
|
| decompose |
Used primarily in scientific contexts to describe the natural process of decaying or breaking down organic matter into simpler substances.
|
| break down |
Used broadly to describe the process of separating something into its basic parts. It can be used in both technical and everyday contexts.
|
Examples of usage
- In order to solve this equation, we first need to factorize the expression.
- Factorizing the number 24 gives us 2 x 2 x 2 x 3.
Translations
Translations of the word "factorize" in other languages:
🇵🇹 fatorar
🇮🇳 गुणनखंड करना
🇩🇪 faktorisieren
🇮🇩 memfaktorkan
🇺🇦 розкладати на множники
🇵🇱 rozłożyć na czynniki
🇯🇵 因数分解する (insū bunkai suru)
🇫🇷 factoriser
🇪🇸 factorizar
🇹🇷 çarpanlarına ayırmak
🇰🇷 인수분해하다 (insubunhae hada)
🇸🇦 تحليل إلى عوامل (tahlil 'iilaa eawamil)
🇨🇿 faktorizovat
🇸🇰 faktorizovať
🇨🇳 因数分解 (yīnshù fēnjiě)
🇸🇮 faktorirati
🇮🇸 þáttagreina
🇰🇿 мүшелерге жіктеу
🇬🇪 ფაქტორიზაცია (p'aqt'orizatsia)
🇦🇿 faktorizasiya etmək
🇲🇽 factorizar
Etymology
The term 'factorize' originated from the Latin word 'factor' which means 'doer'. The concept of factorizing numbers has been used in mathematics for centuries to simplify calculations and solve equations. The process of factorizing algebraic expressions was further developed during the Renaissance period by mathematicians such as Francois Vieta and Rene Descartes.
See also: factorable, factorial, factorizable, factors.
Word Frequency Rank
At position #40,452, this word is among the less frequently used terms in English. While interesting to know, it's not crucial for most English learners unless needed for specific purposes.