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Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… … Wikipedia
Prime factor — In number theory, the prime factors of a positive integer are the prime numbers that divide into that integer exactly, without leaving a remainder. The process of finding these numbers is called integer factorization, or prime factorization.For a … Wikipedia
Factorization — This article is about the mathematical concept. For other uses, see Factor and Integer factorization. A visual illustration of the polynomial x2 + cx + d = (x + a)(x + b) where… … Wikipedia
prime decomposition — noun The factorization of an integer into prime numbers. Syn: prime factorization … Wiktionary
Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… … Wikipedia
prime — I. noun Etymology: Middle English, from Old English prīm, from Latin prima hora first hour Date: before 12th century 1. a. often capitalized the second of the canonical hours b. the first hour of the day usually considered either as 6 a.m. or the … New Collegiate Dictionary
prime factor — 1. noun A factor of a given integer which is also a prime number. 2. verb to reduce an integer to its set of prime factors See Also: set, prime number, prime factorization … Wiktionary
Integer factorization — In number theory, integer factorization is the way of breaking down a composite number into smaller non trivial divisors, which when multiplied together equal the original integer.When the numbers are very large, no efficient integer… … Wikipedia
Table of prime factors — The tables contain the prime factorization of the natural numbers from 1 to 1000.When n is a prime number, the prime factorization is just n itself, written in bold below.The number 1 is called a unit. It has no prime factors and is neither prime … Wikipedia
Euler's factorization method — is a method of factorization based upon representing a positive integer N as the sum of two squares in two different ways :N = a^2+ b^2 = c^2+ d^2 (1)Although the algebraic factorization of binomial numbers cannot factor sums of two squares… … Wikipedia
