Objectives
of This Unit Home
. Identify **Factors**
. Determine the **Greatest
Common Factor** of two or more numbers.
. Determine the Greatest
Common Factor of two or more terms.
. Factor a Binomial Term
from a Polynomial
. Factor by Grouping
Identifying Factors
A **factor** is the **product
of numbers or variables or both**.
In the expression 12xy,
12, x, and y are factors.
With numbers we can also say that 1,2,3,4,6
and 12 are factors of 12 since each number divdes into 12 evenly.
Since many products give 12 (1 x 12, 2 x 6, 3 x 4) we agree to write only
the prime factors which equal the number. Thus we would write
12= 2 x 2 x 3 since 2 and
3 are **primes**.
**Primes are numbers whose only divisors are itself and 1.** A few primes are: 2, 3, 5, 7, 11, 13, 17, 19 etc. (Notice 1 is not a prime)
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