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You can think of a factor as a number that divides another number with no remainder.

For example, 3 is a factor of 6 since 3 goes into 6 two times with no remainder.

Now if the factor is prime, then it is a prime factor.

So in the example above, 3 is a prime factor. This is because the factor itself has only two factors, 1 and itself. 6 goes into itself also, but since 6 is not prime, it is not a prime factor.

Now that you understand it, here is a more precise definition.

A prime factor is a factor that is a Prime number. In other words, one of the prime numbers that, when multiplied, give the original number.

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