(mathematics) The condition of being factorable.

plural of factorizing

plural of factoring

(mathematics) The factorization of a positive integer into its constituent prime numbers

(mathematics) The decomposition of a composite number into a product of smaller integers

plural of integer factorization

plural of prime factorization

plural of unique factorization domain

(algebra, ring theory) A unique factorization ring which is also an integral domain.

(algebra, ring theory) A ring in which every non-zero, non-unit (i.e., proper) element can be factored into a product of prime elements (not necessarily distinct), such that such factorization is unique up to permutation of the factors and the replacing of primes by their associate primes.