Topics
3. Multiplication and division
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Australia
Year 5

3.12 Multiples

Lesson
Practice

Are you ready?

Remember how we found that multiplication is the same as  repeated addition? 

Examples

Example 1

Write this addition as a multiplication: 3+3+3+3+3+3

Worked Solution
Create a strategy

We can rewrite this as a multiplication in the form: \text{Number of groups}\times\text{amount in each group}

Apply the idea

We have 6 groups of 3 so we can rewrite this as:3+3+3+3+3+3=6\times 3

Idea summary

We can rewrite repeated addition as a multiplication in the form: \text{Number of groups}\times\text{amount in each group}

Multiples

We're going to think about the relationship between repeated addition and the times tables, using a number line to help us understand multiples.

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Exploration

Drag the sliders to find the first 12 multiples of any numbers between 1 and 12.

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We can use our times tables to find multiples of a number. For example, the 6th multiple of 5 is 6\times 5=30.

Examples

Example 2

Write down the 7th multiple of 3.

Worked Solution
Create a strategy

Multiply the numbers together.

Apply the idea

The 7th multiple of 3 can be written as:

\displaystyle 7\times 3\displaystyle =\displaystyle 21Multiply 7 by 3
Idea summary

  • A multiple is the result of a number being multiplied by an integer.

  • A common multiple is a multiple of more than one number.

  • The lowest common multiple is the first multiple that is common to two numbers.

Outcomes

AC9M5N02

express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another

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