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# Factors & Multiples - PowerPoint PPT Presentation

Factors & Multiples. Mrs. Walker 4 th grade math. Factor. Factors are numbers that are multiplied 8 X 8 = 64. What does “Find the factors” m ean?. …find all the numbers you can multiply together to get that number as the product.

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### Factors & Multiples

Mrs. Walker

Factors are numbers that are multiplied

8 X 8 = 64

“Find the

factors”

mean?

…find all the numbers you can multiply together to get that number as the product.

EVERY number greater than 1 has the number 1 and itself as a factor.

Remember, you are being asked to find all the numbers that can be multiplied together to get the answer 27.

27:

1 X 27

3 X 9

27: 1, 3, 9, 27

HINT:

Always write factors from least to greatest.

Find the factors:

• 18

• 24

• 21

• 52

What does COMMON mean?

What does FACTORS mean?

So…..

COMMON FACTORS are:

Factors that two or more numbers have in common

16

1 X 16

2 X 8

4 X 4

24

1 X 24

2 X 12

3 X 8

4 X 6

Hint: Once you repeat a number you’re done!!

16: 1, 2, 4, 8, 16

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

Common Factors: 1, 2, 4, 8

What are the common factors of:

• 6 & 9

• 24 & 48

• 25 & 45

The greatest factor that both numbers have in common.

GCF = Greatest Common Factor

Find the GCF

9

1 x 9

3 x 3

9 : 1,3,9

12

1 x 12

2 x 6

3 x 4

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

Find the GCF:

• 12 & 26

• 9 & 21

List the factors:

• 36

• 18

• 27

List the common factors:

• 18, 22

• 52, 36

• 14, 9

List the GCF:

• 25, 40

• 30, 42

Math Book

Pg. 112 #s 11-18

And

Pg. 113 #s 36-43

Multiples form a skip counting pattern!

5: 5, 10, 15, 20, 25, 30…

Example:

15 is a multiple of 5 because it is made up of 3 groups of 5.

Division

To find multiples!

List the multiples of 7 up to 42

7: 7, 14, 21, 28, 35, 42

Strategy:Use a division number sentence.

108 ÷ 6=

(if the quotient is a whole number then 6 is a multiple.)

Solution: Yes, 108 is a multiple of 6 because 108 ÷ 6= 18

Find 10 multiples of:

• 3

• 8

• 11

A multiple that 2 or more numbers have in common.

What strategy would you use?

That’s Right! Division

36 ÷ 6= ?

36 ÷ 9=?

Yes, 36 is a common multiple of 6 and 9.

1. Is 42 a common multiple of 6 and 9?

List 10 multiples of each number and circle the common multiples.

2. 3,6

3. 4, 12

4. 2, 5

The lowest multiple that both numbers have in common.

LCM

EX. What is the LCM of 12 and 24?

Strategy: List the multiples of 12 and 24.

12:12,24

24: 24

List the first 5 multiples of each number.

• 2

• 4

3. Name the LCM of the following numbers:

20 and 5

4. How many common multiples less than 50 do 8 and 9 have? Name them

MB pg. 112 #s 19-26

And

MB pg. 113 #s 44-52