factorised

Factorised refers to the state of an expression or number that has been broken down into its constituent factors. Factors are quantities that multiply together to produce the original number or expression. For example, the number 12 can be factorised into 2 x 6, or 3 x 4, or 2 x 2 x 3. Each of these pairs or sets of numbers are factors of 12. In algebra, a factorised expression is one that has been rewritten as a product of simpler expressions. For instance, the expression x^2 - 4 can be factorised into (x - 2)(x + 2). The process of factorising is often used in mathematics to simplify expressions, solve equations, and perform other operations. When a number or expression is fully factorised, it means its factors cannot be broken down any further into simpler components, except for prime numbers or irreducible polynomials. The prime factorization of an integer is unique, meaning there is only one set of prime numbers that multiply to give that integer. This uniqueness is a fundamental concept in number theory. Similarly, factorising algebraic expressions can reveal important properties and relationships between variables.