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PRIME FACTORIZATION USING FACTOR TREES!

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**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.

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**The prime factorization of 18 is**

2 x 3 x 3 or 2 x 32 9 2 3 3

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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

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**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

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

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