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prime factor

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

to reduce an integer to its set of prime factors

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

A prime number that is a factor of another number is called a prime factor of that number

number that can divide into another with no remainder but cannot itself be divided without having a remainder -- " write down each prime factor zero times " (164)

main cause, main factor

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