You are by a well and you need

You are by a well and you need exactly 4 gallons of water, but you only have 2 buckets. One is bucket measures 5 gallons, while the other measures 7. How do you measure out 4 gallons exactly?

Prime and Composite Numbers!

Definition Factors: A integer that divides evenly into a larger number. ® Example: Factors of 12 { 1, 2, 3, 4, 6, 12} Example: Factors of 21 { 1, 3, 7, 21}

What is a Prime Number?

Definition Prime Number A number that has only two factors, itself and 1. ® EX: 7 & 11 7 is prime because the only numbers that will divide into it evenly are 1 and 7.

What is a Composite Number?

Definition Composite number: A number that has more than two factors. ® The factors of 8 are: The factors of 9 1, 2, 4, 8 1, 3, 9

Examples of Composite Numbers 4, 6, 8, 9, 10, 12, 14 Special Note: Every even number from 2 on is either composite or prime.

Special Case It is not prime because it does not have exactly two different factors. It is not composite because it does not have more than 2 factors. In a nut shell: Zero is neither prime or composite.

Special Case It is not prime because it does not have exactly two different factors. It is not composite because it does not have more than 2 factors. In a nut shell: One is neither prime or composite

Special Case It is prime because it does have exactly two different factors. It is not composite because it does not have more than 2 factors. In a nut shell: Two is prime but not composite.

What numbers are prime? ® Let’s look at a number grid from 1 to 100 and see how they were discovered. ® Lets try it on our own!

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 are a multiple 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 are a multiple 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 are a multiple 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 3 11 13 Take out 31 numbers that are a 41 multiple of 61 3 23 71 73 25 43 53 7 17 35 37 55 49 59 67 77 85 95 19 29 47 65 83 91 5 79 89 97

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

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

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

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

The PRIME Numbers! The 2 Numbers 11 that are left are all the prime 31 numbers 41 up to 100! 3 13 COPY!! 7 17 23 19 29 37 43 47 53 61 71 5 59 67 73 79 83 89 97