2How to Do Prime Factorization Using a Factor Tree Step 1 – Start with a composite number.Step 2 – Write down a multiplicationproblem that equals this number orany pair of factors of this number.Step 3 – Continue until you havereached all prime numbers. Circle theprime numbers and write the product.
3The prime factorization of 18 is 2 x 3 x 3or 2 x 329233
4Two different factor trees for the same number will still result in the same prime factorization. The Fundamental Theorem of Arithmetic supports this statement.3636312493433222222 x 3222 x 32
5You 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.364933224 x 9 = 3622 x 32
6For this particular unit we are not using EXPONETS …the raised number that indicates how many times the factor will be multiplied by itself.