Factors &amp; Multiples

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# Factors & Multiples - PowerPoint PPT Presentation

Factors &amp; 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

Factor

Factors are numbers that are multiplied

8 X 8 = 64

What does

“Find the

factors”

mean?

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

What are the factors of 27?

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.

practice

Find the factors:

• 18
• 24
• 21
• 52
Common Factors

What does COMMON mean?

What does FACTORS mean?

So…..

COMMON FACTORS are:

Factors that two or more numbers have in common

What are the common factors of 16 and 24?

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

Practice

What are the common factors of:

• 6 & 9
• 24 & 48
• 25 & 45
Greatest Common Factor

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

Practice

Find the GCF:

• 12 & 26
• 9 & 21
White board Practice

List the factors:

• 36
• 18
• 27

List the common factors:

• 18, 22
• 52, 36
• 14, 9

List the GCF:

• 25, 40
• 30, 42
Independent Practice

Math Book

Pg. 112 #s 11-18

And

Pg. 113 #s 36-43

Multiple

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.

List the multiples of 7 up to 42

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

Is 108 a multiple of 6?

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

Practice

Find 10 multiples of:

• 3
• 8
• 11
Common Multiple

A multiple that 2 or more numbers have in common.

Is 36 a common multiple of 6 and 9?

What strategy would you use?

That’s Right! Division

36 ÷ 6= ?

36 ÷ 9=?

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

Practice

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

Least Common Multiple

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

White board Practice

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

Independent Practice

MB pg. 112 #s 19-26

And

MB pg. 113 #s 44-52