Scheffer- Tillman 6th grade Broncos!
  Mrs. Scheffer's 6th Grade Class
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Prime Factorization

"Prime Factorization" is finding which prime numbers multiply together to make the original number.

Here are some examples:

Example 1: What are the prime factors of 12 ? It is best to start working from the smallest prime number, which is 2, so let's check:

12 ÷ 2 = 6

Yes, it divided evenly by 2. We have taken the first step!

But 6 is not a prime number, so we need to go further. Let's try 2 again:

6 ÷ 2 = 3

Yes, that worked also. And 3 is a prime number, so we have the answer:

12 = 2 × 2 × 3

As you can see, every factor is a prime number, so the answer must be right.

Note: 12 = 2 × 2 × 3 can also be written using exponents as 12 = 22 × 3

Example 2: What is the prime factorization of 147 ? Can we divide 147 evenly by 2? No, so we should try the next prime number, 3:

147 ÷ 3 = 49

Then we try factoring 49, and find that 7 is the smallest prime number that works:

49 ÷ 7 = 7

And that is as far as we need to go, because all the factors are prime numbers.

147 = 3 × 7 × 7

(or 147 = 3 × 72 using exponents)

Example 3: What is the prime factorization of 17 ? Hang on ... 17 is a Prime Number.

So that is as far as we can go.

17 = 17

Factor Tree Practice
Prime Factorization Game

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