1. 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?
Fill 7 dump into 5, dump 5. Fill 5 with 2 gallons. Refill 7, fill 5 gallon to top, 4 is left!

2. Prime and Composite Numbers!

3. 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}

4. What is a Prime Number?

5. 7 & 11 Definition Prime Number
A number that has only two factors, itself and 1.
7 & 11
EX:
7 is prime because the only numbers
that will divide into it evenly are 1 and 7.
11 is prime because the only numbers
that will divide into it evenly are 1 and 11

6. What is a Composite Number?

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

8. Examples of Composite Numbers
4, 6, 8, 9, 10, 12, 14, 15
Special Note:
Every even number from 2 on is
either composite or prime.

9. Zero is neither prime or
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.

10. Special Case One is neither prime or composite . 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 .

11. Special Case Two is prime but not composite. 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.

12. 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!

13. 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

14. Here’s How You Do It Take out numbers that are a multiple of 2 2 3 4 56 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 are a multiple of 2

15. Here’s How You Do It Take out numbers that are a multiple of 2 2 3 5 79 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 are a multiple of 2

16. Here’s How You Do It Take out numbers that are a multiple of 3 2 3 5 79 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 are a multiple of 3

17. Here’s How You Do It Take out numbers that are a multiple of 3 2 3 5 711 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 are a multiple of 3

18. Here’s How You Do It Take out numbers that are a multiple of 5 2 3 5 711 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 are a multiple of 5

19. Here’s How You Do It Take out numbers that are a multiple of 5 2 3 5 711 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 are a multiple of 5

20. Here’s How You Do It Take out numbers that are a multiple of 7 2 3 5 711 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 are a multiple of 7

21. The PRIME Numbers! Take out numbers that are a multiple of 7 2 3 5 711 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
Take out numbers that are a multiple of 7

22. The PRIME Numbers!
The Numbers that are left are all the prime numbers up to 100! 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
COPY!!!!