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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

Factors & Multiples

Mrs. Walker

4th grade math


Factor
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.


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


What are the factors of 27
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
practice

Find the factors:

  • 18

  • 24

  • 21

  • 52


Common factors
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
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


Practice1
Practice

What are the common factors of:

  • 6 & 9

  • 24 & 48

  • 25 & 45


Greatest common factor
Greatest Common Factor

The greatest factor that both numbers have in common.

GCF = Greatest Common Factor


Find the gcf
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


Practice2
Practice

Find the GCF:

  • 12 & 26

  • 9 & 21


White board practice
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
Independent Practice

Math Book

Pg. 112 #s 11-18

And

Pg. 113 #s 36-43


Multiple
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
List the multiples of 7 up to 42

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


Is 108 a multiple of 6
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


Practice3
Practice

Find 10 multiples of:

  • 3

  • 8

  • 11


Common multiple
Common Multiple

A multiple that 2 or more numbers have in common.


Is 36 a common multiple of 6 and 9
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.


Practice4
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
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 practice1
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 practice1
Independent Practice

MB pg. 112 #s 19-26

And

MB pg. 113 #s 44-52


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