Factoring Integers

Factoring Quadratic Expressions

What is Factoring?

Factoring is the process of figuring out what you can multiply 2 or more 'things' by to get an expression. Think about the number 12. One PAIR of factors for 12 is 3 and 4. We can multiply 3 and 4 together to make 12, which makes them 'factors' of 12. We can do the same thing with all kinds of different expressions, and for our purposes, quadratic expressions.

Factors of Integers

Lets look at a bigger number than 12. Here is how you would list out all of its factors:

I cannot go further than 8 x 9 because there are no numbers in between them on the number line.

Multiple Choice

Which of these is not a factor pair of 64?

• 4 x 16

• 2 x 32

• 3 x 18

• 8 x 8

Multiple Select

Check all of the factor pairs of 128

• 1 x 128

• 2 x 64

• 3 x 42

• 4 x 32

• 6 x 22