Prime factorization can be found using a factor tree method. The steps are to start with a composite number, write it as a multiplication problem of factors, and continue breaking numbers down until only prime numbers remain. The prime factorization is the product of the prime factors, and different factor trees for the same number will result in the same prime factorization that can be checked by multiplying the factors.

1. PRIME FACTORIZATION USING FACTOR TREES!

2. 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.

3. 18 The prime factorization of 18 is 2 x 3 x 3 or 2 x 32 9 2 3 3

4. Two different factor trees for the same number will still result in the same prime factorization. 36 36 3 12 4 9 3 4 3 3 2 2 2 2 22 x 32 22 x 32

5. 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