Factoring Greatest Common Factor

Vocabulary

100

Any number (2), variable (x), or number and variable multiplied together (2x). 

Hint: They are always separated by ( + ) or ( - ) signs!

A Term  

200

What is a factor? 

A number that divides into another number without leaving a remainder. 

300

What is ( x² )?

x times x 

400

The largest number that divides two numbers is called the __________________ ? 

GCF ( Greatest Common Factor ) 

500

( x⁴ ) is a term. What is the 4 called? 

An exponent. ( A power number: "to the 4th power" )

FACTORS of numbers

100

Factors of 1 are.....

1

200

Factors of 74......

1 , 2, 37, 74 (1*74 and 2*37)

300

Factors of 56......

1 , 2 , 4 , 7 , 8 , 14 , 28 , 56 (1*56, 2*28, 4*14, 7*8) 

400

Factors of 99 are...... 

1 , 3 , 9 , 11 , 33 , 99 (1*99, 3*33, 9*11)

500

Factors of 84...... 

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 ( 1*84, 2*42, 3*28, 4*21, 6*14, 7*12) 

GCF of numbers

100

GCF of 5 and 15

GCF: 5 

200

GCF of 1 and 100 

....................................... its 1

300

 GCF of 24 and 36 

GCF: 12

400

GCF of 3, 27, and 9 

GCF: 3 

500

GCF of 8, 24, and 36 

GCF: 4

GCF of 2 Terms

100

GCF of 6x and 9x 

GCF: 3x 

200

GCF of 8x and 12x 

GCF: 4x 

300

GCF of 15x² and 20x 

GCF: 5x 

400

GCF of 14x and 21 

GCF: 7 

500

GCF of 18x² and 24

GCF: 6 

Factoring with GCF

100

Factor: 6x² + 12x 

6x (x+2) 

200

Factor: 7x² + 21x

7x (x+3)

300

Factor: 8x² + 20x 

4x (x+5)

400

Factor: 9x² - 3x

3x (3x - 1)

500

Factor: 10x² - 15x

5x (2x-3)