Selasa, 04 September 2007

Commom Factor and Common Multiples

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Commom Factor and Common Multiples

What are the Multiples?

· Multiples of 1 : 1,2,3,4,5,…,etc.

· Multiples of 2 : 2,4,6,8,10,…,etc.

· Multiples of 3 : 3,6,9,12,…,etc.

· Multiples of 4 : 4,8,12,16,…,etc

· Multiples of 5 : 5,10,15,20,…,etc

· ...

· ...

· ...

· Etc

What are the Factors?

· Factors of 2 : 1 and 2

1 x 2 = 2

2 x 1 = 2

· Factors of 4 : 1, 2 and 4

1 x 4 = 4

2 x 2 = 4

4 x 1 = 4

· Factors of 6 : 1, 2, 3 and 6

1 x 6 = 6

2 x 3 = 6

3 x 2 = 6

6 x 1 = 6

· Factors of 12 : 1, 2, 3, 4 and 6

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12

6 x 2 = 12

12 x 1 = 12

Created by Matematika07.blogspot.com

Example :

1. Find the common Multiples and Common Factors of 6 and 9!

Multiples of 6 : 6,12,18,24,30,36,42,48,54,…,etc

Multiples of 9 : 9,18,27,36,45,54,…,,…,etc

The common Multiples of 6 and 9 are 18, 36, and 54

Factors of 6 : 1,2,3 and 6 Factors of 9 : 1,3 and 9

1 x 6 = 6 1 x 9 = 9

2 x 3 = 6 3 x 3 = 9

3 x 2 = 6 9 x 1 = 9

6 x 1 = 6

The common Factors of 6 and 9 are 1 and 3

2. Find the common Multiples and Common Factors of 24 and 36!

Multiples of 24 : 24,48,72,96,108,…,etc

Multiples of 36 : 36,72,108,…,etc

The common Multiples of 24 and 36 are 72 and 108

Factors of 24 : 1,2,3,4,6,8,12,24 Factors of 36 : 1,2,3,4,6,9,12,18,36

1 x 24 = 24 1 x 36 = 36

2 x 12 = 24 2 x 18 = 36

3 x 8 = 24 3 x 12 = 36

4 x 6 = 24 4 x 9 = 36

6 x 4 = 24 6 x 6 = 36

8 x 3 = 24 9 x 4 = 36

12 x 2 = 24 12 x 3 = 36

24 x 1 = 24 18 x 2 = 36

36 x 1 = 36

The common Factors of 24 and 36 are : 1,2,3,4,6,12

Created by Matematika07.blogspot.com

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