Listing multiples | Maths | Quizalize & Oak National Academy

Starter quiz

Complete the statement. Factors and multiples are __________ .
- always even
- always odd
- decimals
- inverse concepts ✓
Given the calculation $9\times 2 = 18$ , select the correct statement:
- 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
Match the numbers with their factors.
- Factors of 12 are:
  
  ⇔
  
  1, 2, 3, 4, 6 and 12 ✓
- Factors of 10 are:
  
  ⇔
  
  1, 2, 5 and 10 ✓
- Factors of 24 are:
  
  ⇔
  
  1, 2, 3, 4, 6, 8, 12 and 24 ✓
- Factors of 5 are:
  
  ⇔
  
  1 and 5 ✓
List all the factors of 10
- 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
List all the multiples of 10
- 1, 2, 5 and 10
- 10, 20 , 30, 40 and 50
- 100, 10, 1, 0.1
- Not possible as there are infinite number of multiples of 10 ✓
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.
- Yes, because $12\div 12 = 1$ and $12\times 1 = 12$ ✓
- No, because 1 is a multiple of 12

Complete the statement. A common multiple is __________ .
- 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
Match each number with its first five multiples.
- First five multiples of 5:
  
  ⇔
  
  5, 10, 15, 20, 25 ✓
- First five multiples of 10:
  
  ⇔
  
  10, 20, 30, 40, 50 ✓
- First five multiples of 12:
  
  ⇔
  
  12, 24, 36, 48, 60 ✓
- First five multiples of 2:
  
  ⇔
  
  2, 4, 6, 8, 10 ✓
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, ….
- 15, 30, 45, 60, …. ✓
Identify the common multiples of 2, 5, and 8.
- 1, 2, 4, 5, 10
- 2, 4, 5, 8, 10, 12, ….
- 40, 80, 120, 160, …. ✓
- There are no common multiples of 2, 5 and 8
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. ______
- '413' ✓
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
  
  ⇔
  
  ${1} \over {3}$

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

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.

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.