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.
18 9 2 3 3 The prime factorization of 18 is 2 x 3 x 3 or 2 x 3 2
Two different factor trees for the same number will still result in the same prime factorization. 36 9 3 3 4 2 2 36 12 3 4 3 2 2 2 2 x 3 2 2 2 x 3 2
You can check your prime factorization by multiplying your answer. If you get the original number, you are correct. 36 9 3 3 4 2 2 2 2 x 3 2 4 x 9 = 36