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Factorizable Meaning: Definition, Examples, and Translations

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factorizable

[fæk.tər.ɪ.zə.bəl ]

Definition

Context #1 | Adjective

mathematics

Capable of being factored into smaller terms.

Synonyms

expandable, factorable.

Which Synonym Should You Choose?

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Word Description / Examples
factorizable

Used in mathematical contexts to describe an expression or number that can be broken down into factors. It's often used in more advanced or technical discussions.

  • The polynomial x^2 - 4x + 4 is factorizable as (x-2)(x-2).
  • Is this number factorizable into prime components?
factorable

Similar to 'factorizable', used in mathematics to describe numbers or expressions that can be broken down into factors. It is a more common term in academic settings or educational material.

  • The equation is easily factorable if you apply the quadratic formula.
  • Prime numbers are not factorable into smaller positive integers.
expandable

Used to describe something that can be made larger or extended in some way, often beyond mathematics. It can be used in everyday situations, like describing a physical object or abstract concept.

  • The software is expandable with additional plugins.
  • We need an expandable storage solution for our growing data.

Examples of usage

  • Polynomials with real coefficients are always factorizable into linear and quadratic factors.
  • The expression x^2 - 4 is easily factorizable as (x+2)(x-2).

Translations

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

Origin of 'factorizable'

The word 'factorizable' is derived from the noun 'factor', which comes from the Latin word 'factor', meaning 'doer' or 'maker'. In mathematics, the concept of factoring involves breaking down a number or expression into smaller terms or factors. The ability to factorize an expression is a fundamental concept in algebra and plays a crucial role in simplifying equations and solving problems.

See also: factorable, factorial, factorize, factors.