Prime Numbers Some Simple Tips and Reminders Definitions

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 by 2 • Composite Number – An integer that can be divided by at least one other number (a factor) other than itself

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.

What numbers are prime? • Let’s look at a number grid from 1 to 100 and see how they were discovered.

Here’s How You Do It Take out the number 1 because it is a special number 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 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 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 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 2 Take out numbers that have a composite factor of 3 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 2 11 Take out numbers that have a composite factor of 3 3 13 23 31 41 37 55 73 49 59 67 77 85 95 19 29 47 65 83 91 25 43 61 7 17 35 53 71 5 79 89 97

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

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

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

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

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…

Composite Numbers 6 15 24

Prime Numbers 7 17 29

That’s It! • A prime number cannot be divided by anything other than 1 and itself.

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