How do you find the multiples of a number?

For example:Find the first six multiples of 4.

In this lesson you are going to figure out multiples of a

number by using a number line.

Let’s Review

A multiple is the product of multiplying a factor times a factor.

2 x 3 = 6

2x1 2, 4, 6, 8…

2x2 2x3 2x4

factors Product multiple

2x1 2x2 6 is a multiple of 2

2x3 2x4

3, 6, 9, 12…6 is a multiple of 3

A Common Mistake

When writing down the list of multiples, don’t write the multiples too close

together.

10 20 30 ,10, 20, 30, 40, 50…Use a comma to separate numbers & the 3 dots to say the list continues.

Core LessonFind the first 5 multiples of 7.

2 x 7 3 x 7 4 x 7 5 x 77 14 21 28

7, 14, 21, 28, 35…

0 5 10 15 20 25 30 35 1 x 7

35

First five multiples of 7:

Core LessonFind the first 8 multiples of 4.

2 x 4 3 x 4 4 x 4 5 x 44 8 12 16

4, 8, 12, 16, 20, 24, 28…

0 5 10 15 20 25 30 35 1 x 4

First eight multiples of 4:

20 24 28 32 36

In this lesson you have learned how to find the multiples of a number by using a number

line.

Guided PracticeFind the first six multiples of 6.

2 x 6 3 x 6 4 x 6 5 x 66 12 18 24

6, 12, 18, 24, 30, 36…

0 5 10 15 20 25 30 35 1 x 6

30

First six multiples of 6:

366 x 6

Extension Activities

Figure out the first eight multiples of 2

Find the first six multiples of 4

What patterns and connections do you see between the multiples of 2 and the multiples of 4?

Extension Activities

You see a new pack of erasers. There are six erasers in a pack. You need enough for your class. You start off counting the erasers off as you drop the packs in your shopping cart. Help finish the count!

3, , , , , .

Extension Activities

Find the first eight multiples of 2. Then list the first ffive multiples of 8. What do they have in common? Why?

Extension Activities

Challenge:Find multiples by dividing. Multiplication and division are inverse operations, meaning they are related to each other. (Similar to how addition and subtraction are related to each other). Division can be used to figure out a number is a multiple of another. Try to show how this works!

Quick Quiz

Find the first five multiples of 5.

Find the first six multiples of 3.