Factors, Prime Factors and Simplifying Radicals

Factors, Prime Factors and Simplifying Radicals

Review before quizzing

Factors

• Remember factors are what numbers multiply together to give you the number.

• Example: Factors of 12 : 1x12 3x4 2x6

Multiple Choice

What are the factors of 24?

• 1,2,3,4,6,8,12,24

• 1,2,3,8,12,24

• 1,2,3,4,5,6,7,8,9,10

• 24,48,72,96

Open Ended

What are the factors of 48?

Open Ended

Simplify 

 $\sqrt{96}$  

Prime Factors:

• Prime Numbers: 2,3,5,7,11,13,17,19,23,29,31

Prime Factorization

Breaking down a number to prime numbers for example:

12

3*4

2*2

The prime factorization is 2*2*3

24

2*12

3*4

2*2

Prime Factorization is 2*2*2*3

Multiple Choice

What is the prime factorization of 12

• 2*2*2*2

• 2*2*3

• 3*3*3*3

• 2*2*3*3

Simplify

 Singles go inside, pairs share one outside.  
 $\sqrt{48}$ 
  2    24
        2  12 
             2  6 
                 2  3 
 $2\cdot2\sqrt{3}$  
 $4\sqrt{3}$  

Multiple Choice

Simplify

 $\sqrt{50}$  

•  $5\sqrt{2}$   

•  $2\sqrt{5}$  

• 10*5

•  $10\sqrt{2}$   

Multiple Choice

Simplify

 $\sqrt{64}$  

•  $8\sqrt{8}$  

• 8

•  $4\sqrt{2}$  

•  $2\sqrt{4}$