Year 6 - Prime Factorization

Prime Factorization

​Prime Numbers

• ​2, 3, 5, 7, 11, 13, 17, 19, 23, ...

• ​Can only be divided by themselves and 1

​Prime Factorization

• ​Break a number down into "prime factors"

• ​Rewrite as prime numbers being multiplied together

Multiple Choice

Which of the following is correct prime factorization of 12?

• $$2\times6$$  

• $$1\times12$$  

• $$2\times2\times3$$  

• $$3\times4$$  

​Example: Prime Factorization of 32.

Open Ended

Look at the tree diagrams. Based on these diagrams, what is the prime factorization of 30?

Multiple Choice

Use a number tree to find the prime factorization of 60

• 5 x 3 x 2 x 2

• 7 x 6 x 5

Multiple Choice

Use a number tree to find the prime factorization of 42

• 4 x 4 x 3

• 7 x 3 x 2

Multiple Choice

Use a number tree to find the prime factorization of 72

• 2 x 2 x 2 x 3 x 3

• 4 x 3 x 3 x 2

Multiple Choice

Use a number tree to find the prime factorization of 18

• 3 x 3 x 2

• 3 x 3 x 3

Multiple Choice

10.) Find the prime factorization of 75 in exponential form.

• 3 × 5²
• 3² × 5
• 5 × 15
• 3² × 5²