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A factor is a number that multiplies to create a product. Since 3 x 4 = 12, 3 and 4 are factors of 12.
the coefficient
A numeric coefficient is simply a number that is being multiplied by something else. For example, in the term: 3a the number 3 is a numeric coefficient of the term "a". This is just a short way of expressing multiplication. That term means the same thing as: 3 × a
The numerical factor is known as the coefficient of a term.
In the term 3x + 5, the 3 is the coefficient.