1. PRIME FACTORIZATION
USING FACTOR TREES!

2. How to Do Prime Factorization Using a Factor Tree
Step 1 – Start with a composite number.
Step 2 – Write down a multiplication
problem that equals this number or
any pair of factors of this number.
Step 3 – Continue until you have
reached all prime numbers. Circle the
prime numbers and write the product.

3. The prime factorization of 18 is
2 x 3 x 3
or 2 x 32 9 2 3 3

4. Two different factor trees for the same number will still result in the same prime factorization. The Fundamental Theorem of Arithmetic supports this statement. 36 36 3 12 4 9 3 4 3 3 2 2 2 2
22 x 32
22 x 32

5. You can check your prime factorization by multiplying your answer
You can check your prime factorization by multiplying your answer. If you get the original number, you are correct. 36 4 9 3 3 2 2
4 x 9 = 36
22 x 32

6. For this particular unit we are not using EXPONETS …the raised number that indicates how many times the factor will be multiplied by itself.