### What does **prime factor** mean?

# Definitions for prime factor

prime fac·tor

#### Here are all the possible meanings and translations of the word **prime factor**.

### Princeton's WordNet

prime factornoun

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

### Wiktionary

prime factornoun

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

prime factorverb

to reduce an integer to its set of prime factors

### Freebase

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.

### Matched Categories

### Numerology

Chaldean Numerology

The numerical value of prime factor in Chaldean Numerology is:

**9**Pythagorean Numerology

The numerical value of prime factor in Pythagorean Numerology is:

**7**

## Translations for **prime factor**

### From our Multilingual Translation Dictionary

- العامل الرئيسيArabic
- hlavní faktorCzech
- PrimfaktorGerman
- prima faktorigo, prima faktoroEsperanto
- factor principalSpanish
- alkutekijäFinnish
- le premier facteurFrench
- ard-faghteyrManx
- मुख्य कारक हैHindi
- elsődleges tényezőHungarian
- fattore primarioItalian
- primfaktorNorwegian
- factor primRomanian
- просто́й дели́тель, главный факторRussian
- ปัจจัยสำคัญThai
- birinci faktTurkish
- اہم عنصرUrdu
- 主要方面Chinese

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### Translation

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"prime factor." *Definitions.net.* STANDS4 LLC, 2021. Web. 3 Dec. 2021. <https://www.definitions.net/definition/prime+factor>.