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- Factorization abstract "In mathematics, factorization (also factorisation in British English) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into primes as 3 × 5, and the polynomial x2 − 4 factors as (x − 2)(x + 2). In all cases, a product of simpler objects is obtained.The aim of factoring is usually to reduce something to “basic building blocks”, such as numbers to prime numbers, or polynomials to irreducible polynomials. Factoring integers is covered by the fundamental theorem of arithmetic and factoring polynomials by the fundamental theorem of algebra. Viète's formulas relate the coefficients of a polynomial to its roots.The opposite of polynomial factorization is expansion, the multiplying together of polynomial factors to an “expanded” polynomial, written as just a sum of terms.Integer factorization for large integers appears to be a difficult problem. There is no known method to carry it out quickly. Its complexity is the basis of the assumed security of some public key cryptography algorithms, such as RSA.A matrix can also be factorized into a product of matrices of special types, for an application in which that form is convenient. One major example of this uses an orthogonal or unitary matrix, and a triangular matrix. There are different types: QR decomposition, LQ, QL, RQ, RZ.Another example is the factorization of a function as the composition of other functions having certain properties; for example, every function can be viewed as the composition of a surjective function with an injective function. This situation is generalized by factorization systems.".
- Factorization thumbnail Factorisatie.svg?width=300.
- Factorization wikiPageExternalLink factors.evalwave.com.
- Factorization wikiPageExternalLink factoring.html?tqskip1=1.
- Factorization wikiPageExternalLink factor.en.
- Factorization wikiPageID "82341".
- Factorization wikiPageRevisionID "604656822".
- Factorization hasPhotoCollection Factorization.
- Factorization id "p/f130010".
- Factorization title "Factorization of polynomials".
- Factorization subject Category:Arithmetic.
- Factorization subject Category:Elementary_algebra.
- Factorization comment "In mathematics, factorization (also factorisation in British English) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into primes as 3 × 5, and the polynomial x2 − 4 factors as (x − 2)(x + 2).".
- Factorization label "Factorisatie".
- Factorization label "Factorisation".
- Factorization label "Factorización".
- Factorization label "Factorization".
- Factorization label "Faktorisierung".
- Factorization label "Fatoração".
- Factorization label "Fattorizzazione".
- Factorization label "Rozkład na czynniki".
- Factorization label "Факторизация".
- Factorization label "تحليل إلى عوامل".
- Factorization label "因式分解".
- Factorization label "因数分解".
- Factorization sameAs Faktorizace.
- Factorization sameAs Faktorisierung.
- Factorization sameAs Παραγοντοποίηση.
- Factorization sameAs Factorización.
- Factorization sameAs Faktorizazio.
- Factorization sameAs Factorisation.
- Factorization sameAs Fattorizzazione.
- Factorization sameAs 因数分解.
- Factorization sameAs 인수_분해.
- Factorization sameAs Factorisatie.
- Factorization sameAs Rozkład_na_czynniki.
- Factorization sameAs Fatoração.
- Factorization sameAs m.0l4h0.
- Factorization sameAs Q188804.
- Factorization sameAs Q188804.
- Factorization wasDerivedFrom Factorization?oldid=604656822.
- Factorization depiction Factorisatie.svg.
- Factorization isPrimaryTopicOf Factorization.