top of page
Factoring
EXAMPLES & SOLUTIONS
Expressions: Factoring
Factoring is the process of taking a number or variable greatest common factor (GCF) and writing it as the product of its' factor.
Factoring is the process of finding factorts.
It is an expression that requires the discovery of the GCF of a number or variable.
The original expression is separated by multiplying theplied by its' common factor.
They make solving expressions and equations easier to solve.
Factoring
Basic steps to factoring
Example expression: 18 + 24
Step One:
Divide each number by 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
If there is not a remainder, then this is the factor of the number
1: 18/1 = 18 OR 1 * 18 = 18
2: 18/2 = 9 OR 2 * 9 = 18
3: 18/3 = 6 OR 3 * 6 = 18
4: 18/4 = 4 r 2
5: 18/5 = 3 r 3
6: 18/6 = 3 OR 6 * 3 = 18
7: 18/7 = 2 r 4
8: 18/8 = 2 r 2
9: 18/9 = 2 OR 2 * 9 = 18
10: 18/10 = 1 r 8
18: 18/18 = 1 OR 1 * 18 = 18
1: 24/1 = 24 OR 1 * 24 = 24
2: 24/2 = 12 OR 2 * 12 = 24
3: 24/3 = 8 OR 3 * 8 = 24
4: 24/4 = 6 OR 4 * 6 = 24
5: 24/5 = 4 r 4
6: 24/6 = 4 OR 6 * 4 = 24
7: 24/7 = 3 r 3
8: 24/8 = 3 OR 8 * 3 = 24
9: 24/9 = 2 r 6
10: 24/10 = 2 r 4
24: 24/24 = 1 OR 1 * 24 = 24
Step Two:
What numbers are common factors?
18: 1, 2, 3, 6, 9, 18
24: 1, 2, 3, 6, 8, 24
18: 1, 2, 3, 6
24: 1, 2, 3, 6
Step Three:
Choose the greatest common factor (GCF)
18: 1, 2, 3, 6
24: 1, 2, 3, 6
6
Step Four:
What are the factors when multiplied by the GCF will give you the factored number?
6 * 3 = 18
6 * 4 = 24
3, 4
Step Five:
Solve the expression
18 + 24 = (6 * 3) + (6 * 4) = 6 (3 + 4 )
bottom of page