Definitions for prime factorprime fac·tor

Princeton's WordNet(4.67 / 3 votes)Rate this definition:

1. prime factornoun

the prime factors of a quantity are all of the prime quantities that will exactly divide the given quantity

Wiktionary(5.00 / 2 votes)Rate this definition:

1. prime factornoun

A factor of a given integer which is also a prime number.

2. prime factorverb

to reduce an integer to its set of prime factors

Freebase(3.00 / 2 votes)Rate this definition:

1. Prime factor

In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. The process of finding these numbers is called integer factorization, or prime factorization. A prime factor can be visualized by understanding Euclid's geometric position. He saw a whole number as a line segment, which has a smallest line segment greater than 1 that can divide equally into it. For a prime factor p of n, the multiplicity of p is the largest exponent a for which pa divides n. The prime factorization of a positive integer is a list of the integer's prime factors, together with their multiplicity. The fundamental theorem of arithmetic says that every positive integer has a unique prime factorization. To shorten prime factorization, numbers are often expressed in powers, so For a positive integer n, the number of prime factors of n and the sum of the prime factors of n are examples of arithmetic functions of n that are additive but not completely additive. Determining the prime factors of a number is an example of a problem frequently used to ensure cryptographic security in encryption systems; this problem is believed to require super-polynomial time in the number of digits — it is relatively easy to construct a problem that would take longer than the known age of the Universe to solve on current computers using current algorithms.

Numerology

1. Chaldean Numerology

The numerical value of prime factor in Chaldean Numerology is: 9

2. Pythagorean Numerology

The numerical value of prime factor in Pythagorean Numerology is: 7

Translations for prime factor

From our Multilingual Translation Dictionary

• العامل الرئيسي
• hlavní faktor
• Primfaktor
• prima faktorigo, prima faktoro
• factor principal
• alkutekijä
• le premier facteur
• ard-faghteyr
• मुख्य कारक है
• elsődleges tényező
• fattore primario
• primfaktor
• factor prim
• просто́й дели́тель, главный фактор
• ปัจจัยสำคัญ
• birinci fakt
• اہم عنصر
• 主要方面

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