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Published bySpencer Lewis Modified over 7 years ago

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**Even Numbers – Any number that can be divided by 2**

Odd Numbers – Any number that cannot be divided by 2

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**ODD OR EVEN. 1. Write O for odd and E for even 2**

ODD OR EVEN? 1. Write O for odd and E for even 2. Find the half of the number ____ ____ ___ ____ ___ ____ ___ _____ ___ ____ ___ ____

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WHAT NUMBERS ARE PRIME? Let’s look at a number grid from 1 to 100 and see how they were discovered.

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**Take out the number 1 because it is a special number**

HERE’S HOW YOU DO IT 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Take out the number 1 because it is a special number

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**Take out the number 1 because it is a special number**

HERE’S HOW YOU DO IT 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Take out the number 1 because it is a special number

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**Take out numbers that have a composite factor of 2**

HERE’S HOW YOU DO IT 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Take out numbers that have a composite factor of 2

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HERE’S HOW YOU DO IT 2 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 Take out numbers that have a composite factor of 2 Extra help: Even numbers different from 2.

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**Take out numbers that have a composite factor of 3**

HERE’S HOW YOU DO IT 2 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 Take out numbers that have a composite factor of 3

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**Take out numbers that have a composite factor of 3**

HERE’S HOW YOU DO IT 2 3 5 7 11 13 17 19 23 25 29 31 35 37 41 43 47 49 53 55 59 61 65 67 71 73 77 79 83 85 89 91 95 97 Take out numbers that have a composite factor of 3

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Here’s How You Do It 2 3 5 7 11 13 17 19 23 25 29 31 35 37 41 43 47 49 53 55 59 61 65 67 71 73 77 79 83 85 89 91 95 97 Take out numbers that have a composite factor of 5

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**Take out numbers that have a composite factor of 5**

HERE’S HOW YOU DO IT 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 49 53 59 61 67 71 73 77 79 83 89 91 97 Take out numbers that have a composite factor of 5

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Here’s How You Do It 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 49 53 59 61 67 71 73 77 79 83 89 91 97 Take out numbers that have a composite factor of 7

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**Take out numbers that have a composite factor of 7**

The PRIME Numbers! 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 Take out numbers that have a composite factor of 7

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**How do we know numbers are prime?**

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**A prime number cannot be divided by anything other than 1 and itself.**

That’s It! A prime number cannot be divided by anything other than 1 and itself. These are numbers that have only two factors – themselves and one. An example of Prime Numbers would be… 1,3 (3 3) (3 1) (3 3)

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**How do we know numbers are composite?**

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**That’s It! Numbers that have more than two factors . One is included**

An example of composite numbers would be: 1,12 2,6 3,4 (1*12) (2*6) (3*4)

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PRIME OR COMPOSITE?

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96

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Composite Number 96 = 1,96 2,38 3, ,24 6,16 8,12,

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15

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Composite Number 15= 1,3,5,15

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47

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Prime Number 47= 1, 47

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93

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Composite Number 93= 1,93 3,31

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54

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Composite Number 54 = 1, , ,18 6,9

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57

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Composite Number 57= 1, ,19

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19

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Prime Number 19= 1,19

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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?

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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 _______, ________. 18. ______, _______, ________, _______, _______, _______

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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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