1. Multiples and Factors

2. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2, 3, 4, 5, 6, etc.

3. Example: List the multiples of 2: 2x 0 = 0 2x 1 = 2 2x 2 =4 2x 3= 6 2x 4= 8 2x 5 = 10 2 x 6= 12 2 x 7 = 14 2 x 8 = 16 2x 9 = 18 2x 10 = 20 2 x 11 = 22 2 x 12 = 24 So, the multiples of 4 are 2,4,6,8,10 etc. Counting Numbers

4. What are the first five multiples of 13? 13 x 1 =13 13 x 2 = 26 13 x 3 = 39 13 x 4 = 52 13 x 5 = 65 13, 26, 39, 52, 65

5. Find the Missing Multiples 24 30 6, 12, 18, ____, ____ ___, 6, 9, 12, ____, ____, 21 ___, 24, 36, 48, 60, ____ 15 18 3 72 12

6. Factors 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

7. 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.

8. What are the factors of 16? 1 x 16 2 x 8 3 x ?? 3 is not a factor, so cross it out 4 x 4 doubles = done The factors of 16 are 1,2,4,8,16

9. What are the factors of 18? 1 x 18 The factors are 1,2,3,6,9,18 2 x 9 3 x 6 Repeat! Cross it out! We’re done! 4 x ?? 5 x ?? 6 x 3

10. What are the factors of 7? The only factors of 7 are 1,7 1 x 7 2 x ?? 3 x ?? 4 x ?? This works, but it is a repeat. We are done. 5 x ?? 6 x ?? 7 x 1

11. The End!