Factors vs. Multiples Today you will be learning the difference between a factor and a multiple. Factors are the 2 numbers that you multiply together to get the product. Factor x Factor =Product 3 x 4 = 12 factor x factor = product 5 x 8 = 40 factor x factor = product factor x factor = product 9 x 7 = 63 product = factor x factor 56= 8 x 7 It can also look like this: 45 = 9 x 5 product = factor x factor Come up with three examples of your own. Now that you know what factors are I am going to ask you to identify all the factors of a product. For example:

All the factors of 12 are

12: 1, 2, 3, 4, 6, 12 For example:

All the factors of 6 are

6: 1, 2, 3, 6 1 x 12=12

2 x 6 = 12

3 x 4 = 12 factor x factor= product 1 x 6 = 6

2 x 3 = 6 factor x factor= product In your journal list all the factors of 20 20: 1, 2, 4, 5, 10, 20

1 x 20=20

2 x 10 =20

4 x 5 = 20 factor x factor= product In your journal list all the factors of 36 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

1 x 36= 36

2 x 18= 36

3 x 12 = 36

4 x 9 = 36

6 x 6 = 36 Multiple: Repeatedly counting by the same number OR skip counting. You can skip count by ANY number! Let's skip count by 6's! 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, ... Let's skip count by 8's! 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ... In your journal write down the first 12 multiples of 7! 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, ... In your journal write down the first 12 multiples of 4! 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, ... Factors OR Multiples? 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ... That's right they're multiples because you are SKIP COUNTING! Factors OR Multiples? 14: 1, 2, 7, 14 14: 1, 2, 7, 14

1 x 14 =14

2 x 7 = 14 factor x factor = product That's right they're FACTORS! Factors OR Multiples? 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ...

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# Factors vs. Multiples

A short presentation to help students understand the difference between factors and multiples.

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