Primary 4 Factors and Multiples
Keywords
- Factor
- A whole number that divides another exactly.
- Factor pair
- Two numbers whose product is the given number.
- Common factor
- A factor of both numbers.
- Multiple
- A product found by multiplying a number by 1, 2, 3 and so on.
- Common multiple
- A number in the multiples lists for both numbers.
Factors and common factors
A factor divides a number exactly, with no remainder. Find factors in pairs so none are missed. A common factor divides both numbers exactly.
Find the common factors of 12 and 18.
Factors of 12
Factors of 18
Start with the first number. Show the first step.
See the full working
Find the common factors of 12 and 18.
- List the factor pairs of 12: 1 × 12, 2 × 6 and 3 × 4. Its factors are 1, 2, 3, 4, 6 and 12.
- List the factor pairs of 18: 1 × 18, 2 × 9 and 3 × 6. Its factors are 1, 2, 3, 6, 9 and 18.
- Compare the lists. The numbers in both are 1, 2, 3 and 6.
Answer: The common factors of 12 and 18 are 1, 2, 3 and 6.
Try together
Find the common factors of 8 and 12.
Reveal the answer
Factors of 8: 1, 2, 4, 8. Factors of 12: 1, 2, 3, 4, 6, 12. Common factors: 1, 2 and 4.
Multiples and common multiples
A multiple is the result of multiplying a number by 1, 2, 3 and so on. The list never ends. A common multiple appears in the lists for both numbers.
Find first 2 common multiples of 4 and 6.
Multiples of 4
4 × 1 through 4 × 6
Multiples of 6
6 × 1 through 6 × 6
Start with the first number. Show the first step.
See the full working
Find first 2 common multiples of 4 and 6.
- Count in 4s or multiply 4 by 1, 2, 3, 4, 5 and 6: 4, 8, 12, 16, 20, 24.
- Count in 6s or multiply 6 by 1, 2, 3, 4, 5 and 6: 6, 12, 18, 24, 30, 36.
- Compare the lists in order. 12 is the first number in both, and 24 is the second. So the first two common multiples are 12 and 24.
Answer: The first two common multiples of 4 and 6 are 12 and 24.
Try together
Find the first two common multiples of 3 and 5.
Reveal the answer
Multiples of 3 include 3, 6, 9, 12, 15 and 30. Multiples of 5 include 5, 10, 15, 20, 25 and 30. The first two common multiples are 15 and 30.
Factors of ________
Factors of ________
Factors of ________
Factors of ________
2 to 9 times tables
2 times table
- 2 × 1 = 2
- 2 × 2 = 4
- 2 × 3 = 6
- 2 × 4 = 8
- 2 × 5 = 10
- 2 × 6 = 12
- 2 × 7 = 14
- 2 × 8 = 16
- 2 × 9 = 18
- 2 × 10 = 20
- 2 × 11 = 22
- 2 × 12 = 24
3 times table
- 3 × 1 = 3
- 3 × 2 = 6
- 3 × 3 = 9
- 3 × 4 = 12
- 3 × 5 = 15
- 3 × 6 = 18
- 3 × 7 = 21
- 3 × 8 = 24
- 3 × 9 = 27
- 3 × 10 = 30
- 3 × 11 = 33
- 3 × 12 = 36
4 times table
- 4 × 1 = 4
- 4 × 2 = 8
- 4 × 3 = 12
- 4 × 4 = 16
- 4 × 5 = 20
- 4 × 6 = 24
- 4 × 7 = 28
- 4 × 8 = 32
- 4 × 9 = 36
- 4 × 10 = 40
- 4 × 11 = 44
- 4 × 12 = 48
5 times table
- 5 × 1 = 5
- 5 × 2 = 10
- 5 × 3 = 15
- 5 × 4 = 20
- 5 × 5 = 25
- 5 × 6 = 30
- 5 × 7 = 35
- 5 × 8 = 40
- 5 × 9 = 45
- 5 × 10 = 50
- 5 × 11 = 55
- 5 × 12 = 60
6 times table
- 6 × 1 = 6
- 6 × 2 = 12
- 6 × 3 = 18
- 6 × 4 = 24
- 6 × 5 = 30
- 6 × 6 = 36
- 6 × 7 = 42
- 6 × 8 = 48
- 6 × 9 = 54
- 6 × 10 = 60
- 6 × 11 = 66
- 6 × 12 = 72
7 times table
- 7 × 1 = 7
- 7 × 2 = 14
- 7 × 3 = 21
- 7 × 4 = 28
- 7 × 5 = 35
- 7 × 6 = 42
- 7 × 7 = 49
- 7 × 8 = 56
- 7 × 9 = 63
- 7 × 10 = 70
- 7 × 11 = 77
- 7 × 12 = 84
8 times table
- 8 × 1 = 8
- 8 × 2 = 16
- 8 × 3 = 24
- 8 × 4 = 32
- 8 × 5 = 40
- 8 × 6 = 48
- 8 × 7 = 56
- 8 × 8 = 64
- 8 × 9 = 72
- 8 × 10 = 80
- 8 × 11 = 88
- 8 × 12 = 96
9 times table
- 9 × 1 = 9
- 9 × 2 = 18
- 9 × 3 = 27
- 9 × 4 = 36
- 9 × 5 = 45
- 9 × 6 = 54
- 9 × 7 = 63
- 9 × 8 = 72
- 9 × 9 = 81
- 9 × 10 = 90
- 9 × 11 = 99
- 9 × 12 = 108