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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.

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Presentation on theme: "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."— Presentation transcript:

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2 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

3 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.

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

5 What are the factors of 18? 1 x 18 2 x 9 3 x 6 4 x ?? 5 x ?? 6 x 3 Repeat! Cross it out! We’re done! The factors are 1,2,3,6,9,18

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

7 How to find Prime Factors? 48 Step 1 – Start with a composite number. Step 2 – Write down a multiplication that equals this number or any pair of factors of this number. 6 x 8 = 48

8 How to Do Prime Factorization Using a Factor Tree Step 3 – Find factors of the numbers (factor ) you got in step 2. 6 x 8 2 x 3 x 2 x 4 48

9 Step 4 – Find factors of these numbers until all factors are prime numbers. 6 x 8 2 x 3 x 2 x 4 2 x 3 x 2 x 2 x 2 48

10 Step 6 – Count how many numbers are the same and write exponents for them. 2 x 2 x 2 x 2 x 3 2 x 3 = 48 4

11 WORKING TOGETHER!!!!!!!

12 4

13 Prime factor this number 4 2 x 2 2 = 4 2 = 4

14 6

15 Prime factor this number 6 2 x 3 = 6

16 22

17 Prime factor this number 22 2 x 11 = 22

18 12

19 Prime factor this number 12 3 x 4 2 x 3 = 12 2 = 12 3 x 2 x 2 = 12 2 x 2 x 3 = 12

20 21

21 Prime factor this number 21 3 x 7 = 21

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23 Find the prime factors of these numbers

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