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Factorize Meaning: Definition, Examples, and Translations

๐Ÿ”ข
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factorize

[หˆfรฆktษ™หŒraษชz ]

Definition

Context #1 | Verb

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?

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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.

  • We need to factorize the polynomial to simplify the equation.
  • Can you factorize 25 into its prime factors?
factor

Similar to 'factorize,' used in mathematics to describe breaking down a number or expression into its factors. It's slightly less formal.

  • Factor the expression to find its roots.
  • To solve the problem, you need to factor the equation.
decompose

Used primarily in scientific contexts to describe the natural process of decaying or breaking down organic matter into simpler substances.

  • Organic material will decompose over time, enriching the soil.
  • The software can decompose complex chemical structures.
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.

  • The teacher asked the students to break down the project into smaller tasks.
  • Enzymes in the stomach help break down food into nutrients.

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

To see the translation, please select a language from the options available.

Origin of 'factorize'

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.