prime numbers some simple tips and reminders. definitions even numbers – any number that can be...
TRANSCRIPT
![Page 1: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/1.jpg)
Prime Numbers
Some Simple Tips and Reminders
![Page 2: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/2.jpg)
Definitions
• Even Numbers – Any number that can be divided by 2
• Odd Numbers – Any number that cannot be divided by 2
• Composite Number – An integer that can be divided by at least one other number (a factor) other than itself
![Page 3: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/3.jpg)
Definitions
• Prime Number – An integer whose only factors are 1 and itself.
• Factor – a number that can divide another number without a remainder.
• Prime Factors – an expression of numbers that divides another integer without a remainder where all the factors are prime.
![Page 4: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/4.jpg)
What numbers are prime?
• Let’s look at a number grid from 1 to 100 and see how they were discovered.
![Page 5: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/5.jpg)
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
Here’s How You Do It
Take out the number 1 because it is a special number
![Page 6: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/6.jpg)
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
Here’s How You Do It
Take out the number 1 because it is a special number
![Page 7: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/7.jpg)
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
Here’s How You Do It
Take out numbers that have a composite factor of 2
![Page 8: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/8.jpg)
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
Here’s How You Do It
Take out numbers that have a composite factor of 2
![Page 9: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/9.jpg)
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
Here’s How You Do It
Take out numbers that have a composite factor of 3
![Page 10: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/10.jpg)
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
Here’s How You Do It
Take out numbers that have a composite factor of 3
![Page 11: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/11.jpg)
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
Here’s How You Do It
Take out numbers that have a composite factor of 5
![Page 12: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/12.jpg)
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
Here’s How You Do It
Take out numbers that have a composite factor of 5
![Page 13: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/13.jpg)
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
Here’s How You Do It
Take out numbers that have a composite factor of 7
![Page 14: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/14.jpg)
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
The PRIME Numbers!
Take out numbers that have a composite factor of 7
![Page 15: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/15.jpg)
How Do We Know They Are Prime?
• Composite numbers can be placed into varying types of rectangles
• Prime numbers cannot
• Let’s look at that…
![Page 16: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/16.jpg)
Composite Numbers
6 2415
![Page 17: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/17.jpg)
Prime Numbers
717 29
![Page 18: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/18.jpg)
That’s It!
• A prime number cannot be divided by anything other than 1 and itself.
![Page 19: Prime Numbers Some Simple Tips and Reminders. Definitions Even Numbers – Any number that can be divided by 2 Odd Numbers – Any number that cannot be divided](https://reader035.vdocument.in/reader035/viewer/2022081418/551aa2f8550346761a8b60fa/html5/thumbnails/19.jpg)
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