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# Prime Factorization

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### Prime Factorization

1. 1. PRIME FACTORIZATION<br />USING FACTOR TREES!<br />
2. 2. How to Do Prime Factorization Using a Factor Tree<br />Step 1 – Start with a composite number.<br />Step 2 – Write down a multiplication <br />problem that equals this number or<br />any pair of factors of this number.<br />Step 3 – Continue until you have <br />reached all prime numbers. Circle the <br />prime numbers and write the product.<br />
3. 3. 18<br />The prime factorization of 18 is <br />2 x 3 x 3 <br />or 2 x 32<br />9<br />2<br />3<br />3<br />
4. 4. Two different factor trees for the same number will still result in the same prime factorization.<br />36<br />36<br />3<br />12<br />4<br />9<br />3<br />4<br />3<br />3<br />2<br />2<br />2<br />2<br />22 x 32<br />22 x 32<br />
5. 5. You can check your prime factorization by multiplying your answer. If you get the original number, you are correct.<br />36<br />4<br />9<br />3<br />3<br />2<br />2<br />4 x 9 = 36<br />22 x 32<br />