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A number a is a factor of another number b if a divides b evenly with no remainder. This means that a can be multiplied by another number c to get b.
b/a=c ⇔ a* c=b
Each number being multiplied is called a factor. In the expression above, the numbers a and c are factors of b. A number can have many factors.
| Number | Factors |
|---|---|
| 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |
| 21 | 1, 3, 7, 21 |
| 9 | 1, 3, 9 |
Factors can also be extended to negative numbers.
| Number | Negative Factors |
|---|---|
| 48 | -1, -2, -3, -4, -6, -8, -12, -16, -24, -48 |
| 21 | -1, -3, -7, -21 |
| 9 | -1, -3, -9 |
Factors are not limited to numerical expressions. When multiplying algebraic expressions, each expression is also a factor. (x+2)^(Factor) (x+1)^(Factor) = x^2+3x+2