Factor Trees and Factoring

Which of the following is a correct way to use a factor tree to express 48 as a product of prime factors?

• 
• 
• Both A and B are correct ways.

Express 96 as a product of prime factors.

• 2 x 2 x 2 x 2 x 2 x 3

• 2 x 3 x 4 x 4

• 2 x 2 x 2 x 2 x 6

Which of the following is a true statement?

• All whole numbers can be expressed as a product of prime factors.

• All composite numbers can be expressed as a product of prime factors.

• All odd numbers can be expressed as a product of prime factors.

What is the prime factorization of 36?

• 2 * 3

• 2 * 2 * 3 * 3

• 2 * 2 * 3

• 3 * 3 * 3 * 2

TRUE or FALSE?

A FACTOR is greater than the number you are factoring

• TRUE

• FALSE

Draw a Venn Diagram on your paper like this one.

Using your factor trees, list the SHARED multiples of 36 and 100.

The shared factors are ​​​ (a)   and ​ (b)   . This means that the GCF is the product of those factors, or ​ (c)   .

• 2

• 3

• 5

• 7

• 11

• 4

• 8

• 12

Create the correct distributive property expression for 18 + 24 by factoring out the GCF from the last question.

Hint: Write down the correct answer on your paper. Start with the GCF outside the parenthesis.

e

d

c

4

6

8

12

2

3

1, 2, 3, 4, 6, and 12 are factors of ....

• 10

• 12

• 18

• 20

Is 8 a factor of 24?

• yes

• no

Draw a factor tree for 24.

Answer explanation

Remember that when you are finished, the numbers in for the bottom branches when multiplied, will give you the number at the top of the tree!