Prime Factors Quiz Generator
Make a practice quiz on prime factorisation, highest common factors and lowest common multiples, with the factor working shown in every answer.
- Free
- No sign-up to try
- Works as you type
Preview: 10 questions
1. What is the prime factorisation of 20?
2. What is the highest common factor (HCF) of 16 and 20?
3. What is the prime factorisation of 24?
4. What is the prime factorisation of 98?
5. What is the highest common factor (HCF) of 8 and 10?
6. What is the prime factorisation of 12?
7. What is the prime factorisation of 54?
8. What is the highest common factor (HCF) of 20 and 12?
9. What is the prime factorisation of 36?
10. What is the prime factorisation of 18?
Free, no sign-up to try. Your quiz becomes a Room you can edit, publish and share.
How it works
How the Prime Factors Quiz Generator works
- 1
Pick skills and difficulty
Choose the skills to practise, how hard, and how many questions.
- 2
Try it here
The quiz appears as you choose. Answer a few and check them to see the worked solutions.
- 3
Create the Room
One click makes it a quiz Room with a tutor that gives hints. Publish it and share the link.
Worked example
What it makes
Three questions from a easier quiz on prime factors, hcf and lcm, with the answers and worked solutions the quiz shows after checking.
1. What is the prime factorisation of 20?
Options: 4 × 5 · 2 × 5 · 2³ × 5 · 2² × 5
Answer: 2² × 5
Keep dividing by primes: 20 = 2 × 2 × 5. Group repeats as powers: 2² × 5.
2. What is the highest common factor (HCF) of 16 and 20?
Options: 16 · 2 · 80 · 4
Answer: 4
16 = 2⁴ and 20 = 2² × 5. The HCF takes each shared prime at its lower power: 2² = 4.
3. What is the prime factorisation of 24?
Options: 2 × 3 · 2³ × 3 · 2⁴ × 3 · 8 × 3
Answer: 2³ × 3
Keep dividing by primes: 24 = 2 × 2 × 2 × 3. Group repeats as powers: 2³ × 3.
Who it's for
Who uses it
Teachers
Practice on factors and multiples before fractions and algebra.
Tutors
Check whether a learner writes repeated primes as powers.
Learners
Use prime factors to find the HCF and LCM.
Good to know
What to consider
- Answers use index form, such as 2² × 3 × 5.
- Level 1 is mostly factorising numbers up to 100; levels 2 and 3 add HCF and LCM with bigger numbers.
- Levels are difficulty bands, not school grades or a curriculum.
Questions
About the Prime Factors Quiz Generator
Does it ask for factor trees?
Not as a picture. The worked solution shows the repeated division that a factor tree records.
How do I know the answers are right?
The questions are computed, not written by AI: each answer is worked out with exact arithmetic and checked again by a separate solver in our tests. Every question shows its worked solution after the learner checks their answers.
Can my students use it without an account?
Yes. Publish the Room and share the link: anyone with it can take the quiz, check their answers and read the worked solutions. You need a free account to keep and publish the Room.
Make your quiz now
Free, no sign-up to try. It becomes a Room you can edit, publish and share.
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