# 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

### Images & Illustrations of prime factor

1.     ## 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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