Examples of Factors

Example 1

Find the factor of 27

First, we will find the numbers that multiplied together will result to 27

Let’s start with 1 times 27 is equals to 27

Then, 3 times 9 is 27

Therefore, the factors of 27 are:

1,3,9,27

Example 2

Find the factors of 18

First, we will find the numbers that multiplied together will result to 18

Let’s start with 1 times 18 is equals to 18

Then, 2 times 9 is 18

And lastly, 3 times 6 is 18

Therefore, the factors of 18 are:

1,2,3,6,9,18

Examples of Greatest Common Factor (GCF)

Example 1

GCF of 14 and 28

First, list the factors of 14 and 28

Now we have,

14: 1, 2, 7, 14

28: 1, 2, 4, 7, 14, 28

Therefore, the Greatest Common Factor is 14

Example 2

GCF of 24 and 32

First, list the factors of 24 and 32

Now we have,

24: 1, 2, 3, 4, 6, 8, 12, 24

28: 1, 2, 4, 8, 16, 32

Therefore, the Greatest Common Factor is 8

Examples of Multiples

Example 1

Multiples of 5

In order to find the mutiples, we must multiply 5 by an integer (not a fraction)

Therefore the multiples og 5 are 5, 10, 15, 20, 25,30, 35,…..

Example 2

Multiples of 12

In order to find the mutiples, we must multiply 12 by an integer (not a fraction)

Therefore the multiples og 12 are 12, 24, 36, 48, 60, 72,…..

Least Common Multiple (LCM)

Example 1

Least Common Multiple (LCM) of 3 and 5

First, list down the multiples of each number

3: 3, 9, 12, 15, 18, 24

5: 5, 10, 15, 20

Then, the first mutiple that occurs on both numbers is the LCM

Therefore, the LCM is 15

Example 2

Least Common Multiple (LCM) of 16 and 24

First, list down the multiples of each number

16: 16, 32, 48, 64

24: 24, 48, 72

Then, the first mutiple that occurs on both numbers is the LCM

Therefore, the LCM is 48

After you finish this lesson, view all of our Pre-Algebra lessons and practice problems.