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## PowerPoint Slideshow about ' Factors & Multiples' - stesha

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Presentation Transcript

“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?

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.

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

Greatest Common Factor

The greatest factor that both numbers have in common.

GCF = Greatest Common Factor

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

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

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

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