FACTORABILITY Meaning and
Definition
-
Factorability refers to the property or the ability for a mathematical object, such as a number, polynomial, or equation, to be factored or decomposed into its constituent parts. It is a concept that is primarily used and explored in algebra and number theory.
In number theory, factorability refers to the property of a number to be divisible evenly by another number. A number is said to be factorable if it can be expressed as a product of two or more integers. For example, the number 12 is factorable because it can be written as 2 × 2 × 3, while the number 7 is not factorable as it can only be expressed as 1 × 7.
In algebra, factorability is related to the process of factoring polynomials. A polynomial is considered factorable if it can be broken down into a product of simpler polynomials or monomials. This process involves identifying common factors, using techniques like factoring by grouping or applying equations like the difference of squares or perfect square trinomials. Factoring makes it easier to solve equations or manipulate expressions, helping to understand the behavior and properties of polynomial functions.
Factorability is a crucial concept in mathematics as it provides tools for simplification, solving equations, and understanding the relationships between numbers and polynomials. It allows mathematicians to express complex mathematical objects in a more simplified and manageable form, facilitating further analysis and problem-solving.
Common Misspellings for FACTORABILITY
- dactorability
- cactorability
- vactorability
- gactorability
- tactorability
- ractorability
- fzctorability
- fsctorability
- fwctorability
- fqctorability
- faxtorability
- favtorability
- faftorability
- fadtorability
- facrorability
- facforability
- facgorability
- facyorability
- fac6orability
- fac5orability
Etymology of FACTORABILITY
The word "factorability" is derived from the noun "factor" and the suffix "-ability".
The noun "factor" comes from the Old French word "facteur" and the Latin word "factor", both of which mean "one who does or makes". It first appeared in English in the late 15th century referring to a person or thing that acts or has an effect on something. In mathematics, the verb form "to factor" was first used in the 1680s to describe the process of breaking down a number or expression into its constituent factors.
The suffix "-ability" comes from the Latin suffix "-abilitas" which denotes the quality or condition of being able to do something. It is commonly used in English to form nouns that express the capacity or suitability for a particular action or quality.
Infographic
Add the infographic to your website:
