### Definition of Prime factor

1. Noun. The prime factors of a quantity are all of the prime quantities that will exactly divide the given quantity.

Generic synonyms: Divisor, Factor

### Definition of Prime factor

1. Noun. A factor of a given integer which is also a prime number. ¹

2. Verb. (transitive) to reduce an integer to its set of prime factors ¹

¹ Source: wiktionary.com

### Prime Factor Pictures

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### Lexicographical Neighbors of Prime Factor

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### Literary usage of Prime factor

Below you will find example usage of this term as found in modern and/or classical literature:

1. Introduction to The National Arithmetic, on the Inductive System: Combining by Benjamin Greenleaf (1860)
"A prime factor of a number is a prime number tnat will exactly divide it; ... Unity or 1 is not regarded as a material prime factor, since multiplying or ..."

2. The Theory of Numbers by Robert Daniel Carmichael (1914)
"If either mi or mz is prime we have thus obtained a prime factor of m. ... Either we have now found in m'i or mr2 a prime factor of m or the process can be ..."

3. Journal of Proceedings, and Addresses by National Educational Association (U.S.) (1901)
"When asked if they would affirm or deny this proposion : '•'Resolved, That the reservation day school should be made the prime factor in Indian education," ..."

4. Diophantine Analysis by Robert Daniel Carmichael (1915)
"If every prime factor of km is a sum of two integral squares, ... Hence there is some prime factor of km which is not expressible as a sum of two integral ..."

5. Diophantine Analysis by Robert Daniel Carmichael (1915)
"If every prime factor of km is a sum of two integral squares, ... Hence there is some prime factor of km which is not expressible as a sum of two integral ..."