Factors, multiples and the HCF
Multiples, factors and HCF, and divisibility rules. Read one part at a time and tap “I know this”. Then test yourself in the quiz.
Know it already? Jump straight to the quiz
Multiples and factors
| Term | Meaning | Example |
|---|---|---|
| multiple | the answers in a times table | multiples of 4: 4, 8, 12, 16 … |
| factor | numbers that divide exactly into a number | factors of 12: 1, 2, 3, 4, 6, 12 |

Find factors in pairs: 12 = 1 × 12 = 2 × 6 = 3 × 4.
HCF
- HCF (highest common factor): the biggest factor two numbers share. HCF of 12 and 18 = 6.
Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 18: 1, 2, 3, 6, 9, 18. Common factors: 1, 2, 3, 6, so HCF = 6.
Divisibility
| Divisible by … | if … |
|---|---|
| 2 | the last digit is even |
| 3 | the digit sum divides by 3 |
| 5 | it ends in 0 or 5 |
| 10 | it ends in 0 |
Remember this and test yourself
- Multiples = answers in a times table.
- Factors divide exactly; find them in pairs.
- HCF = highest shared factor.
- Divisible by 5 if it ends in 0 or 5.
Write these points in your book. Read them again the night before the test.

Factors fit INTO a number; multiples grow OUT of a number.
Important words
First say the answer yourself, then turn the card over.
Match column A to column B
Tap a word in column A, then its meaning in column B. You can also start in column B.
True or false?
Read the question and the answer. Is the answer right? Tap True or False.
Now the real quiz!
The quiz has many more questions on this topic. Every question shows straight away whether you are right and explains why.
Take the quiz: Factors, multiples and the HCF- Let your child work the examples on paper and explain them to you.
- The ticks (“I know this”) are saved on this device only. We never ask for names or emails.
Follows CAPS for Grade 5 Mathematics. Always check your teacher’s notes and textbook too.

