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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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Prime Numbers and Prime Factorization

Prime Numbers and Prime Factorization

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