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Prime Factorization(Factor Trees)

Prime Factorization

- Any composite number can be written as a product

of prime numbers - This is done by a process called prime

factorization (factor trees)

Prime Factorization

- Step 1
- Find two factors of the given number (except1)
- HINT Use divisibility rules and/or start with 2

24

2 x 12

- Step 2
- Check if those new numbers are composite or

prime

PRIME

COMPOSITE

- Step 3
- For each new number
- If it is prime, stop
- If it is composite, find two more factors of the

new number

2 x 6

2 x

- Step 4
- Repeat until all numbers are prime

2 x 3

- Step 5
- Rewrite into a sentence

The prime factors of 24 are 2 x 2 x 2 x 3.

- To Check
- Multiply the prime factors together, you should

end up with the original number

2 x 2 x 2 x 3

Prime Factorization

- Step 1
- Find two factors of the given number (except 1)
- HINT Use divisibility rules and/or start with 2

36

2 x 18

- Step 2
- Check if those new numbers are composite or

prime

PRIME

COMPOSITE

- Step 3
- For each new number
- If it is prime, stop
- If it is composite, find two more factors of the

new number

2 x 9

2 x

- Step 4
- Repeat until all numbers are prime

3 x 3

- Step 5
- Rewrite into a sentence

The prime factors of 36 are 2 x 2 x 3 x 3.

- To Check
- Multiply the prime factors together, you should

end up with the original number

2 x 2 x 3 x 3

Prime Factorization

- Step 1
- Find two factors of the given number (except 1)
- HINT Use divisibility rules and/or start with 2

36

4 x 9

- Step 2
- Check if those new numbers are composite or

prime

COMPOSITE

COMPOSITE

- Step 3
- For each new number
- If it is prime, stop
- If it is composite, find two more factors of the

new number

3 x 3

2 x 2

x

- Step 4
- Repeat until all numbers are prime

- Step 5
- Rewrite into a sentence

The prime factors of 36 are 2 x 2 x 3 x 3.

- To Check
- Multiply the prime factors together, you should

end up with the original number

2 x 2 x 3 x 3

Prime Factorization

- Step 1
- Find two factors of the given number (except 1)
- HINT Use divisibility rules and/or start with 2

36

3 x 12

- Step 2
- Check if those new numbers are composite or

prime

PRIME

COMPOSITE

- Step 3
- For each new number
- If it is prime, stop
- If it is composite, find two more factors of the

new number

2 x 6

3 x

- Step 4
- Repeat until all numbers are prime

2 x 3

- Step 5
- Rewrite into a sentence

The prime factors of 36 are 2 x 2 x 3 x 3.

- To Check
- Multiply the prime factors together, you should

end up with the original number

2 x 2 x 3 x 3

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For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

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