1. Prime Factorization
FACTOR TREE

2. Prime Factorization Essential Question:
What is the method for prime factorization?
Objective: CC.6.NS.4
We will be able to use the divisibility rules to determine whether a number is prime or composite.

3. Prime Factorization Vocabulary:
Factor – a number that divides into a whole number with a remainder of zero.
Prime Number – a whole number that has exactly two unique factors, 1 and the number itself.
Composite Number – a number greater than 1 with more than two factors.
Prime Factorization – a composite number expressed as a product of prime numbers.

4. Before We Get Started With Prime Factorization Lets Do Some Review…
What are FACTORS?
Numbers that when multiplied together result in a product.

5. Every composite number can be expressed as a product of prime numbers
Prime Factorization
Every composite number can be expressed as a
product of prime numbers
We call this…
PRIME FACTORIZATION

6. Finding Prime Factorization
Example 1: Find prime factorization of 100.

7. Finding Prime Factorization
Example 1: Find prime factorization of 100.
100 10 10 2 5 2 5

8. Finding Prime Factorization
Example 1: Find prime factorization of 100.
100 4 25 2 2 5 5

9. Finding Prime Factorization
Example 1: Find prime factorization of 100.
100 2 50 2 25 5 5

10. Finding Prime Factorization
Example 1: Find prime factorization of 100.
100
100
100 10 10 4 25 2 50 2 5 2 5 2 2 5 5 2 25
2252 5 5
2 · 2 · 5 · 5 =

11. Finding Prime Factorization
Example 2: Find prime factorization of 60.

12. Finding Prime Factorization
Example 2: Find prime factorization of 60. 60 6 10 2 3 2 5

13. Finding Prime Factorization
Example 2: Find prime factorization of 60. 60 2 30 5 6 2 3

14. Finding Prime Factorization
Example 2: Find prime factorization of 60. 60 3 20 2 10 2 5

15. Finding Prime Factorization
Example 2: Find prime factorization of 60. 60 60 60 6 10 2 30 3 20 2 3 2 5 5 6 2 10 2 3 2 5
223·5
2 · 2 · 3 · 5 =

16. Finding Prime Factorization
Example 3: Find prime factorization of 34.

17. Finding Prime Factorization
Example 3: Find prime factorization of 34. 34 2 17
21171 or
2 · 17
2 · 17 =