number · Year 5 · AC9M5N02
Factors and multiples
A multiple of 6 is in the 6 times table: 6, 12, 18 and so on. A factor of 36 divides 36 exactly. To find all the factors, list factor pairs: 1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6. Every number has 1 and itself as factors. In a square number the middle pair repeats a factor, so count it once.
Sample questions
Which of these numbers is a multiple of 8? 78, 4, 28, 56
- A multiple of 8 is in the 8 times table: 8 × a whole number.
- Check each choice by dividing by 8: only one divides exactly.
- 8 × 7 = 56, so 56 is the multiple of 8.
Answer: 56
Which of these numbers is a multiple of 9? 89, 18, 21, 3
- A multiple of 9 is in the 9 times table: 9 × a whole number.
- Check each choice by dividing by 9: only one divides exactly.
- 9 × 2 = 18, so 18 is the multiple of 9.
Answer: 18
Which of these numbers is a multiple of 8? 98, 4, 12, 24
- A multiple of 8 is in the 8 times table: 8 × a whole number.
- Check each choice by dividing by 8: only one divides exactly.
- 8 × 3 = 24, so 24 is the multiple of 8.
Answer: 24