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

primatologist
primatologists
primatology
primavera
primaveras
prime
prime(a)
prime-minister
prime-number
prime-time
prime constellation
prime contract
prime decomposition
prime directive
prime directives
prime factor (current term)
prime factorization
prime factors
prime formula
prime implicant
prime implicants
prime interest rate
prime meridian
prime minister
prime ministerial
prime ministers
prime ministership
prime mover
prime movers
prime number

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 ..."

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