Factors and Multiples Game: Factors, Multiples & Primes
Factors, 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.
Factors, Multiples & Primes
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- Ages
- 8–12
- School years
- 3rd Grade–6th Grade
- Skills
- Recognizing 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
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
- Recognizing 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)
- Recognizing 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 3rd Grade to 6th Grade and are the building blocks for simplifying fractions, finding common denominators and later algebra.
Which level should my child play?
| School year | Suggested level |
|---|---|
| 3rd Grade | Multiples |
| 4th Grade | Factors |
| 5th Grade | Prime or composite |
| 6th Grade | Prime factors & squares |
Move up a level after getting three stars two or three times in a row.
🏆 Leaderboard
Full leaderboard →Play a round to get on the board! Create a free account to save your scores.
🖨️ Printable worksheets
Practice away from the screen too: free worksheets with answer keys that match this game.
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.
More games you’ll love
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Practice any times table from 2× to 12×.
Division facts and remainders.
Look, cover and spell words from memory.
Flip cards and find all the matching pairs.
Help your child shine in math
Practice at home is a great start. Success Tutoring offers personalized tutoring to build skills and confidence.