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Factorable: meaning, definitions and examples

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factorable

[ ˈfæktərəbəl ]

Adjective

^{Context #1 | Adjective}

mathematics

Capable of being factored into two or more expressions.

Synonyms

decomposable, factorizable.

Which Synonym Should You Choose?

Word	Description / Examples
factorable	Used in mathematics to describe an expression or equation that can be factored into simpler components. The polynomial x^2 - 5x + 6 is factorable into (x - 2)(x - 3). The first step in solving the equation is to check if it is factorable.
factorizable	Primarily used in mathematical contexts to describe an object or expression that can be factored. It's a less common variant of 'factorable'. Certain classes of matrices are factorizable into simpler matrices. The equation is factorizable using prime factorization techniques.
decomposable	Commonly used in both mathematics and general contexts to describe something that can be broken down into smaller parts. In scientific contexts, it often refers to the ability of substances to break down chemically or biologically. Complex fractions are decomposable into simpler partial fractions. The plastic is not decomposable, causing significant environmental concerns.

Word

Description / Examples

factorable

Used in mathematics to describe an expression or equation that can be factored into simpler components.

The polynomial x^2 - 5x + 6 is factorable into (x - 2)(x - 3).
The first step in solving the equation is to check if it is factorable.

factorizable

Primarily used in mathematical contexts to describe an object or expression that can be factored. It's a less common variant of 'factorable'.

Certain classes of matrices are factorizable into simpler matrices.
The equation is factorizable using prime factorization techniques.

decomposable

Commonly used in both mathematics and general contexts to describe something that can be broken down into smaller parts. In scientific contexts, it often refers to the ability of substances to break down chemically or biologically.

Complex fractions are decomposable into simpler partial fractions.
The plastic is not decomposable, causing significant environmental concerns.

Examples of usage

2x^2 + 4x is a factorable expression.
The quadratic equation x^2 - 4x + 4 is factorable.

Translations

Translations of the word "factorable" in other languages:

🇵🇹 fatorável

🇮🇳 गुणनखंडनीय

🇩🇪 faktorisierbar

🇮🇩 dapat difaktorkan

🇺🇦 розкладний на множники

🇵🇱 rozkładalny na czynniki

🇯🇵 因数分解可能 (いんすうぶんかいかのう)

🇫🇷 factorisable

🇪🇸 factorizable

🇹🇷 çarpanlarına ayrılabilir

🇰🇷 인수분해 가능한 (insubuhae ganeunghan)

🇸🇦 قابل للتحليل

🇨🇿 rozložitelný na činitele

🇸🇰 rozložiteľný na činitele

🇨🇳 可因数分解的 (kě yīnshù fēnjiě de)

🇸🇮 razstavljiv na faktorje

🇮🇸 þáttanlegur

🇰🇿 факторланатын

🇬🇪 გამრავლების ფაქტორებად დაყოფადი

🇦🇿 faktorizə edilə bilən

🇲🇽 factorizable

Etymology

The word 'factorable' originates from the verb 'factor', which dates back to the 16th century. In mathematics, 'factorable' refers to the ability to break down an expression into smaller parts or factors. This term is commonly used in algebraic equations and calculations.

See also: factorial, factorizable, factorize, factors.