New
New
Year 7

Listing multiples

You can state what a multiple is and can list multiples of n and common multiples of 2 (or more) numbers.

New
New
Year 7

Listing multiples

You can state what a multiple is and can list multiples of n and common multiples of 2 (or more) numbers.

Lesson details

Key learning points

  1. Multiples of a number can be found and listed by counting on or knowledge of multiplication tables.
  2. Multiples of a number can be found and listed by finding a product.
  3. Common multiples of 2 or more numbers can be found from a list.
  4. There are multiple ways to identify common multiples, some are more efficient than others depending on the numbers.
  5. To compare fractions it may be helpful to identify the lowest common denominator.

Common misconception

A common multiple of all integers is 1.

Get students to list multiples. This is to highlight the fact that 1 is only a multiple of 1.

Keywords

  • Common multiple - A common multiple is a number that is a multiple of two or more numbers.

  • Multiple - A multiple is the product of a number and an integer.

During the explanation part of the lesson where examples are shown, ask the students to give the first six multiples of any number of their choosing. For a more challenging question, students could share the second and fourth multiple only.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Complete the statement. Factors and multiples are __________ .
always even
always odd
decimals
Correct answer: inverse concepts
Q2.
Given the calculation $$ 9\times 2 = 18 $$, select the correct statement:
Correct answer: 9 and 2 are factors of 18
9 and 2 are multiples of 18
18 is a square number
18 is a factor of 9 and 2
Q3.
Match the numbers with their factors.
Correct Answer:Factors of 12 are:,1, 2, 3, 4, 6 and 12

1, 2, 3, 4, 6 and 12

Correct Answer:Factors of 10 are: ,1, 2, 5 and 10

1, 2, 5 and 10

Correct Answer:Factors of 24 are:,1, 2, 3, 4, 6, 8, 12 and 24

1, 2, 3, 4, 6, 8, 12 and 24

Correct Answer:Factors of 5 are:,1 and 5

1 and 5

Q4.
List all the factors of 10
Correct answer: 1, 2, 5 and 10
10, 20 , 30, 40 and 50
1, 2.5, 2, 5 and 7.5
Not possible as there are infinite number of factors of 10
Q5.
List all the multiples of 10
1, 2, 5 and 10
10, 20 , 30, 40 and 50
100, 10, 1, 0.1
Correct answer: Not possible as there are infinite number of multiples of 10
Q6.
Lucas is thinking about 12. He says "12 is a factor of 12 and 12 is a multiple of 12." Is he correct? Pick the correct justification.
No, because multiples are always bigger than the factors.
Correct answer: Yes, because $$ 12\div 12 = 1 $$ and $$ 12\times 1 = 12 $$
No, because 1 is a multiple of 12

6 Questions

Q1.
Complete the statement. A common multiple is __________ .
Correct answer: a number that is a multiple of two or more numbers
a number which is a factor of two or more numbers
always even
always odd
Q2.
Match each number with its first five multiples.
Correct Answer:First five multiples of 5:,5, 10, 15, 20, 25

5, 10, 15, 20, 25

Correct Answer:First five multiples of 10:,10, 20, 30, 40, 50

10, 20, 30, 40, 50

Correct Answer:First five multiples of 12:,12, 24, 36, 48, 60

12, 24, 36, 48, 60

Correct Answer:First five multiples of 2:,2, 4, 6, 8, 10

2, 4, 6, 8, 10

Q3.
Identify the common multiples of 3 and 5
There are no common multiples of 3 and 5.
1, 3, 5, 10...
3, 5, 6, 10, 12, 15, ….
Correct answer: 15, 30, 45, 60, ….
Q4.
Identify the common multiples of 2, 5, and 8.
1, 2, 4, 5, 10
2, 4, 5, 8, 10, 12, ….
Correct answer: 40, 80, 120, 160, ….
There are no common multiples of 2, 5 and 8
Q5.
Jacob started listing the first five multiples of a number. He then spilled ink all over his work. Find the number Jacob was listing the multiples for.
An image in a quiz
Correct Answer: 413
Q6.
Starting with the largest, sort these fractions into order of size. Use a common denominator to help you.
1 - $${4} \over {5}$$
2 - $${1} \over {2}$$
3 - $${11} \over {30}$$
4 - $${1} \over {3}$$