FACTORISATION Meaning and
Definition
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Factorisation is the mathematical process of breaking down an expression or number into its constituent factors. In mathematics, a factor is a quantity that divides evenly into another quantity, resulting in no remainder. Factorisation is used to simplify and understand complex expressions, as well as to solve equations and problems involving numbers or algebraic expressions.
In the context of numbers, factorisation involves finding all the prime and composite numbers that divide the given number without leaving a remainder. For example, the factorisation of the number 12 would be represented as 2 x 2 x 3, since it can be divided evenly by the prime numbers 2 and 3.
In algebra, factorisation refers to the process of breaking down an algebraic expression into its constituent factors. This is done by identifying common terms or factors within the expression and factoring them out. For instance, the expression 6x + 9y could be factorised as 3(2x + 3y), where the common factor of 3 has been factored out.
Factorisation is utilized in various branches of mathematics, such as number theory, algebra, and calculus. It serves as a fundamental tool for simplification, solving equations, finding roots, identifying patterns, and analyzing the properties of numbers and expressions. The ability to factorise allows mathematicians to manipulate and work with complex mathematical structures more effectively.
Common Misspellings for FACTORISATION
- dactorisation
- cactorisation
- vactorisation
- gactorisation
- tactorisation
- ractorisation
- fzctorisation
- fsctorisation
- fwctorisation
- fqctorisation
- faxtorisation
- favtorisation
- faftorisation
- fadtorisation
- facrorisation
- facforisation
- facgorisation
- facyorisation
- fac6orisation
Etymology of FACTORISATION
The word "factorisation" comes from the Latin word "factor", which means "doer" or "maker". The suffix "-tion" is commonly used to form nouns from verbs or denote a state or condition. Therefore, "factorisation" can be understood as the act or process of making or finding factors. In mathematics, it refers to breaking down an expression or number into its factors.
Similar spelling words for FACTORISATION
- factor out,
- factor xii,
- factor iii,
- vectorization,
- factor vii,
- factor xiii,
- factor analytic,
- factorization,
- vectorisation,
- factory whistle,
- factor viii.
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