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FACTORS

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**Factors are the numbers you multiply together to get a product.**

For example, the product 24 has several factors. 24 = 1 x 24 24 = 2 x 12 24 = 3 x 8 24 = 4 x 6 SO, the factors are 1, 2, 3, 4, 6, 8, 12, 24

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**FINDING FACTORS Start with 1 x the number. Try 2, 3, 4, etc.**

When you repeat your factors, cross out the repeat - you’re done at this point. If you get doubles (such as 4 x 4), then you’re done. Repeats or doubles let you know you’re done.

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**What are the factors of 16? The factors of 16 are 1,2,4,8,16 1 x 16**

3 is not a factor, so cross it out 4 x 4 doubles = done The factors of 16 are 1,2,4,8,16

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**What are the factors of 18? The factors are 1,2,3,6,9,18 1 x 18 2 x 9**

Repeat! Cross it out! We’re done! 6 x 3 The factors are 1,2,3,6,9,18

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**Find all the factors of each number**

Find all the factors of each number. List them in order from least to greatest. 25 ______. _______, _______ 27 _____, ______, _______,_______ 12 _____, _____, ______, _______, ______, _______. 15 _______, _______, _______ ,_______. 3 _______, ________.

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**How to find Prime Factors?**

Step 1 – Start with a composite number. 48 Step 2 – Write down a multiplication that equals this number or any pair of factors of this number. 6 x 8 = 48

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**How to Do Prime Factorization Using a Factor Tree**

Step 3 – Find factors of the numbers (factor ) you got in step 2. 48 6 x 8 2 x 3 x 2 x 4

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**Step 4 – Find factors of these numbers**

until all factors are prime numbers. 48 6 x 8 2 x 3 x 2 x 4 2 x 3 x 2 x 2 x 2

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**2 x 2 x 2 x 2 x 3 Step 6 – Count how many numbers are**

the same and write exponents for them. 2 x x 2 x 2 x 3 4 2 x 3 = 48

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WORKING TOGETHER!!!!!!!

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**Prime factor this number**

4

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**Prime factor this number**

4 = 4 2 x 2 2 2 = 4

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**Prime factor this number**

6

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**Prime factor this number**

6 = 6 2 x 3

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**Prime factor this number**

22

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**Prime factor this number**

22 2 x 11 = 22

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**Prime factor this number**

12

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**Prime factor this number**

12 = 12 3 x 4 3 x 2 x 2 = 12 2 x 2 x 3 = 12 2 2 x 3 = 12

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**Prime factor this number**

21

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**Prime factor this number**

21 = 21 3 x 7

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**Find the prime factors of these numbers**

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Please go through this PowerPoint, you may print it and highlight important ideas, or take notes At the very end of the slide there are some questions.

Please go through this PowerPoint, you may print it and highlight important ideas, or take notes At the very end of the slide there are some questions.

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