DefinitionIn mathematics, factorization or factoring is the breaking apart of a composite number into smaller non-trivial divisors, which when multiplied together equal the original integer. There is integer factorization for numbers to prime factors, polynomial factorization for polynomials to irreducible factors, and matrix factorization for matrices to elementary matrices or Jordan blocks. Number theory, algebra, linear algebra, and cryptography all rely on factorization, to determine divisors, and to analyse structures,to solve equations. For Example, than integer 12 factorized to prime factors =2×2×3.