Factors and Multiples Game: Factors, Multiples & Primes
Getting your game ready…
- Ages
- 8–12
- School years
- Basic 3–Basic 6
- Skills
- Recognising multiples using times tables facts, Finding common multiples of two numbers, Finding factors, factor pairs and common factors
- Time
- 2–5 minutes a round
- Cost
- Free, no sign-up
- Updated
For grown-upsFactors, Multiples & Primes is a free number game where kids spot multiples, find factors and factor pairs, decide whether numbers are prime or composite, and break numbers into prime factors.
In Ghana, Factors, Multiples & Primes suits children in Basic 3 to Basic 6. School years and levels on this page follow Ghanaian schools, and it is used in our Reasoning & exam skills practice.
How to play Factors, Multiples & Primes
- Choose a level: multiples, factors, prime or composite, or prime factors & squares.
- Read the question carefully. Watch out for the word "not"!
- Choose the right answer from the choices. Use your times tables to check.
- If you get one wrong, read the explanation, then try the next question.
What your child learns
- Recognising multiples using times tables facts
- Finding common multiples of two numbers
- Finding factors, factor pairs and common factors
- Counting how many factors a number has
- Identifying prime and composite numbers (and knowing 1 is neither)
- Recognising square numbers and squaring numbers up to 12
- Writing a number as a product of prime factors
About Factors, Multiples & Primes
A multiple of a number is in its times table: 18, 24 and 30 are all multiples of 6. A factor divides a number exactly: 4 is a factor of 36 because 4 × 9 = 36. A prime number has exactly two factors, 1 and itself, while a composite number has more than two. The number 1 has only one factor, so it is neither prime nor composite, and the game teaches this directly.
Every answer is worked out exactly, and the wrong choices are near misses, such as 51 (which is 3 × 17) when looking for a prime, or 4 × 3 × 5 when asked for the prime factors of 60. These ideas usually appear from Basic 3 to Basic 6 and are the building blocks for simplifying fractions, finding common denominators and later algebra.
| School year | Suggested level |
|---|---|
| Basic 3 | Multiples |
| Basic 4 | Factors |
| Basic 5 | Prime or composite |
| Basic 6 | Prime factors & squares |
Move up a level after getting three stars two or three times in a row.
Leaderboard
Full leaderboardPlay a round to get on the board! Create a free account to save your scores.
Matching worksheets
Practise away from the screen too: free worksheets with answer keys that match this game.
Short division
Print or on screenFinding factors
Print or on screenPrime or composite
Print or on screenSquare & cube numbers
Print or on screenSimplifying fractions
Print or on screenUse it for test prep
Factors, Multiples & Primes builds skills for these tests. Try the Timed test button for exam-style practice.
Frequently asked questions
What is the difference between a factor and a multiple?
Factors go into a number exactly; multiples are what you get when you multiply it. For 12: 3 is a factor of 12, and 12 is a multiple of 3.
Is 1 a prime number?
No. A prime number has exactly two different factors. The number 1 has only one factor, so it is neither prime nor composite. The smallest prime is 2, the only even prime.
What age is this game for?
It suits children aged about 8 to 12. Start with multiples, then move on to factors, primes and prime factors as times tables become secure.
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