1. Multiples and Factors
Lesson 2.2

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 4:
So, the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 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 Multiples24 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 ?? 4 x 4
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
Repeat! Cross it out! We’re done!

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

11. Prime and Composite Numbers
Prime numbers are
numbers that only have
two factors: one, and the
number itself.
EXAMPLES:
3, 5, 7, 11, 31
Composite numbers
have more than two
factors.
EXAMPLES:
6, 18, 30, 100

12. What is the difference between multiples and factors
What is the difference between multiples and factors? Show your work by writing the multiples and factors of 6. What do you notice? Is there any change in it?