Factors and multiples practice
Free factors and multiples practice for grades 4 to 6: pick a skill and answer 10 questions, marked as you go.
🧒 Kids: pick a skill, type your answer and tap Check ✓. Stuck? Read the reason and try the next one!
Ready-made practice rounds: 13 skills by grade
| Skill | What your child does | Grade |
|---|---|---|
| Factor pairs | Find the missing factor: 36 = 4 × ? | 4 |
| Is it a factor? | Is 7 a factor of 56? Yes or no. | 4 |
| How many factors? | List all the factors and count them. | 4 |
| Prime or composite | Prime, composite or neither, for numbers to 100. | 4 |
| Multiples | The 6th multiple of 7, or the next one in a list. | 4 |
| Divisibility rules | Is 738 divisible by 9? Use a rule. | 4–5 |
| Common factors | Pick the number that divides both. | 5–6 |
| Greatest common factor | The GCF of 24 and 36. | 6 |
| Least common multiple | The LCM of 6 and 8. | 6 |
| Prime factorization | Find the missing prime in a factor tree. | 6 |
| GCF or LCM? | Read a story and decide which one it needs. | 6 |
| Word problems | Bracelets, buses and flashing lights. | 6 |
| Mixed review | A bit of everything. | 4–6 |
Each link opens the practice tool on that skill, so you can bookmark or share the one your child needs.
How to use the factors and multiples practice
- Pick one skill. If you are not sure, start at the top of the table and move down.
- Keep paper nearby. Listing factors in pairs on paper is faster than guessing.
- Read the reason when an answer is wrong. It lists the factors or multiples, so your child sees where the answer comes from.
- Stop at 10 questions. Short rounds work better than long ones. Come back tomorrow.
Factors and multiples in one minute
A factor divides a number exactly. The factors of 12 are 1, 2, 3, 4, 6 and 12. A multiple is the answer when you multiply. The multiples of 3 are 3, 6, 9, 12 and so on.
So 3 is a factor of 12, and 12 is a multiple of 3. Both describe the same fact, 3 × 4 = 12. Children who know their times tables find factors much faster.
What the questions look like
- Number answers, such as a missing factor, a GCF or an LCM, are typed into one box. On a phone, a big number pad appears.
- Choices, such as prime or composite, yes or no, and GCF or LCM, use big buttons.
- Factor trees show a number split into primes, with one circled prime hidden.
- Word problems tell a short story. The reason after each one says whether it needed the GCF or the LCM.
A sensible order for practice
- Factor pairs and multiples (4.OA.B.4): every factor pair of a number up to 100, and multiples of 1 to 12.
- Prime or composite (4.OA.B.4): a prime has exactly two factors, and 1 is neither.
- Divisibility rules: quick tests for 2, 3, 4, 5, 6, 9 and 10 that save long division.
- Common factors, GCF and LCM (6.NS.B.4): numbers up to 100 for the GCF and up to 12 for the LCM.
- Prime factorization and word problems: factor trees, then choosing GCF or LCM in a story.
When a skill won’t stick
- Missing factors: list them in pairs from both ends, 1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6. Stop when the pairs meet.
- Calling 1 prime: a prime needs exactly two different factors. 1 has only one.
- Calling 51 or 91 prime: 51 = 3 × 17 and 91 = 7 × 13. Check the divisibility rules before deciding.
- Mixing up GCF and LCM: the GCF is never bigger than the smaller number; the LCM is never smaller than the bigger number.
- Multiplying for the LCM every time: 6 × 8 = 48 is a common multiple, but the least one is 24.
Factors and multiples by grade
| Grade | What children practice | Standard |
|---|---|---|
| Grade 4 | Factor pairs to 100, multiples, prime and composite numbers | 4.OA.B.4 |
| Grade 5 | Divisibility, common factors to simplify fractions, common multiples to add them | 5.NF.A.1 |
| Grade 6 | GCF of numbers to 100, LCM of numbers to 12, the distributive property with the GCF | 6.NS.B.4 |
In India, NCERT class 6 covers factors, multiples, primes and prime factorization in chapter 5, Prime Time. HCF (highest common factor) is another name for the GCF.
For parents and teachers
- Share a skill: add ?skill=pairs, isfactor, count, prime, multiples, divis, common, gcf, lcm, pfact, which, word or mixed to the address.
- Check working: the GCF and LCM calculator shows every step for any numbers to 10,000.
- Private by design: no account and nothing stored online.
More factors and multiples help
- Factors and multiples practice: 10 questions on any of 13 skills, marked as you go.
- GCF and LCM calculator: factors, factor trees, GCF and LCM with every step.
- Lessons: factors and multiples · prime numbers · greatest common factor · least common multiple
- Test yourself: factors and multiples quiz · factor games · 6 levels · grade 4 · grade 6
- Concepts: composite numbers · prime factorization · common factors · GCF and LCM word problems
- Worksheets: factors and multiples · prime numbers · divisibility rules · GCF · LCM
- Where it is used: simplifying fractions · adding fractions · ratios
Back to factors and multiples for kids · 4th grade math · 6th grade math
Last reviewed
Questions parents ask
How can my child practice factors and multiples online for free?
Use the practice tool at the top of this page. Pick a skill, such as factor pairs or the GCF, and answer 10 questions. Every answer is marked straight away, with a short reason.
Which skill should my child start with?
Start with factor pairs and is it a factor. Then move on to how many factors, prime or composite and multiples. GCF, LCM and prime factorization come last, usually in grade 6.
What grade is factors and multiples practice for?
Grades 4 to 6. Factor pairs, multiples and prime or composite are grade 4 (4.OA.B.4). GCF, LCM and prime factorization are grade 6 (6.NS.B.4).
What is the difference between a factor and a multiple?
A factor divides a number exactly: 3 is a factor of 12. A multiple is what you get when you multiply: 12 is a multiple of 3. Factors are never bigger than the number; multiples are never smaller.
Can teachers link to one skill?
Yes. Add ?skill= to the address, for example /factors-multiples/practice/?skill=gcf for the greatest common factor. Every child gets their own random questions, with no login.
What happens to questions my child gets wrong?
The tool shows why the answer is right, then brings missed questions back later in the round so your child gets a second try.