A factor is a number you use to multiply to get a number
Example
2 x 3 = 6 2 and 3 are the factors
Factors of 6: 1, 2, 3, 6
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a proper factor is a factor.
a factor bug is a factor
A composite factor is a factor that is a composite number, as opposed to a prime factor which is a factor that is a prime number.
Factors are divisors. A factor times a factor will equal a product.
If it does not factor properly then you cannot factor it.