factorized
Meaning
of Factorize
Source: Webster's dictionaryExamples
Analogously, prime polynomials (more correctly, irreducible polynomials ) can be defined as non-zero polynomials which cannot be factorized into the product of two non constant polynomials.
For example, these functions can be such that their inverses can be computed only if certain large integers are factorized.
Mersenne numbers are very good test cases for the special number field sieve algorithm, so often the largest number factorized with this algorithm has been a Mersenne number.