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PRIME FACTORIZATION USING FACTOR TREES! 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 3 2 3 The prime factorization of 18 is 2x3x3 or 2 x 3 2 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 9 12 4 3 3 3 4 32 2 2 2 x 3 2 2 2 2 2 2 x 3 36 4 9 3 32 2 2 x 3 2 2 You can check your prime factorization by multiplying your answer. If you get the original number, you are correct. 4 x 9 = 36 For this particular unit we are not using EXPONETS …the raised number that indicates how many times the factor will be multiplied by itself.