Class 5 · Maths · 2026-27

Class 5 Factors and Multiples Worksheet with Answers

This worksheet works through factors, multiples, common factors and primes - the four ideas Class 5 introduces in this strand. It stops short of HCF and LCM as named methods, because the current syllabus does not teach them as formal procedures; that arrives in Class 6, built on the factor-listing practised here.

90 questions · 65 minutes · full answer key · free printable PDF · no sign-up

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Class 5 Factors and Multiples Worksheet

Class 5 Maths · Factors, multiples, common factors and primes · 90 questions with answers

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List all the factors of a two-digit number.
Write the first five multiples of a number.
Find the common factors of two numbers.
Identify prime numbers within a small set.

Exercise 1 of 8 · 12 questions

List all the factors of each number.

Write the answer

Here’s one done for you

Factors of 20 → find every number that divides into 20 exactly, working in pairs from the outside in: 1 × 20, 2 × 10, 4 × 5. There is no whole number between 4 and 5 that works, so the search is complete. Factors of 20: 1, 2, 4, 5, 10, 20.

1)12
2)18
3)24
4)36
5)45
6)50
7)60
8)16
9)27
10)40
11)72
12)84

Answers

1) 1, 2, 3, 4, 6, 12
2) 1, 2, 3, 6, 9, 18
3) 1, 2, 3, 4, 6, 8, 12, 24
4) 1, 2, 3, 4, 6, 9, 12, 18, 36
5) 1, 3, 5, 9, 15, 45
6) 1, 2, 5, 10, 25, 50
7) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
8) 1, 2, 4, 8, 16
9) 1, 3, 9, 27
10) 1, 2, 4, 5, 8, 10, 20, 40
11) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
12) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Exercise 2 of 8 · 12 questions

Write the first five multiples of each number.

Write the answer

Here’s one done for you

First five multiples of 14 → multiply 14 by 1, 2, 3, 4 and 5: 14 × 1 = 14, 14 × 2 = 28, 14 × 3 = 42, 14 × 4 = 56, 14 × 5 = 70. So the first five multiples are 14, 28, 42, 56, 70.

1)6
2)9
3)11
4)15
5)20
6)25
7)7
8)8
9)12
10)13
11)18
12)30

Answers

1) 6, 12, 18, 24, 30
2) 9, 18, 27, 36, 45
3) 11, 22, 33, 44, 55
4) 15, 30, 45, 60, 75
5) 20, 40, 60, 80, 100
6) 25, 50, 75, 100, 125
7) 7, 14, 21, 28, 35
8) 8, 16, 24, 32, 40
9) 12, 24, 36, 48, 60
10) 13, 26, 39, 52, 65
11) 18, 36, 54, 72, 90
12) 30, 60, 90, 120, 150

Exercise 3 of 8 · 12 questions

Find the common factors of each pair of numbers.

Write the answer

Here’s one done for you

Common factors of 10 and 15 → list each number’s factors separately: factors of 10 are 1, 2, 5, 10; factors of 15 are 1, 3, 5, 15. The numbers that appear in both lists are 1 and 5, so the common factors of 10 and 15 are 1 and 5.

1)12 and 18
2)16 and 24
3)20 and 30
4)15 and 25
5)8 and 12
6)18 and 27
7)14 and 21
8)9 and 27
9)10 and 15
10)24 and 36
11)16 and 20
12)28 and 42

Answers

1) 1, 2, 3, 6
2) 1, 2, 4, 8
3) 1, 2, 5, 10
4) 1, 5
5) 1, 2, 4
6) 1, 3, 9
7) 1, 7
8) 1, 3, 9
9) 1, 5
10) 1, 2, 3, 4, 6, 12
11) 1, 2, 4
12) 1, 2, 7, 14

Exercise 4 of 8 · 12 questions

Circle the prime number in each list.

Circle the answer

Here’s one done for you

9, 10, 12, 13 → check each number for factors besides 1 and itself. 9 = 3 × 3 (composite), 10 = 2 × 5 (composite), 12 has many factors (composite), but 13 has no factors except 1 and 13. So 13 is the prime number.

1)8, 9, 11, 15
2)12, 13, 14, 16
3)21, 23, 25, 27
4)17, 18, 20, 22
5)29, 30, 32, 33
6)19, 20, 21, 24
7)31, 32, 33, 34
8)41, 42, 44, 46
9)51, 53, 54, 55
10)61, 62, 63, 65
11)71, 72, 74, 75
12)81, 82, 83, 85

Answers

1) 11
2) 13
3) 23
4) 17
5) 29
6) 19
7) 31
8) 41
9) 53
10) 61
11) 71
12) 83

Exercise 5 of 8 · 10 questions

List the first three common multiples of each pair of numbers.

Write the answer

Here’s one done for you

First three common multiples of 4 and 5 → list a few multiples of each: multiples of 4 are 4, 8, 12, 16, 20, 24…; multiples of 5 are 5, 10, 15, 20, 25, 30…. The numbers appearing in both lists, in order, are 20, 40, 60.

1)2 and 3
2)4 and 6
3)3 and 5
4)6 and 8
5)4 and 10
6)5 and 6
7)3 and 4
8)9 and 6
9)7 and 2
10)8 and 12

Answers

1) 6, 12, 18
2) 12, 24, 36
3) 15, 30, 45
4) 24, 48, 72
5) 20, 40, 60
6) 30, 60, 90
7) 12, 24, 36
8) 18, 36, 54
9) 14, 28, 42
10) 24, 48, 72

Exercise 6 of 8 · 10 questions

Find the mistake in each child’s thinking, and write the correct answer.

Write the answer

Here’s one done for you

Question: Sana lists the factors of 16 as 1, 2, 4, 16 and says she is done. Is her list complete? → Checking factor pairs: 1 × 16, 2 × 8, 4 × 4. She missed 8. The complete list of factors of 16 is 1, 2, 4, 8, 16.

1)Kabir lists the factors of 18 as 1, 2, 3, 6, 9. Which factor did he miss, and what is the complete list?
2)Priya says a number can never be a factor of itself. Is this true?
3)Yusuf lists the first five multiples of 7 as 7, 14, 20, 28, 35 - one of them is wrong. Which one, and what should it be?
4)Sana says 1 is a prime number because it has a factor. Is she right?
5)Rehan lists the common factors of 8 and 12 as 1, 2, 3, 4. Check this list - is 3 really a factor of 8?
6)Devika lists the common factors of 9 and 15 as 1, 3, 5. Check whether 5 is really a factor of 9.
7)Arjun says a prime number must always be odd, so 2 cannot be prime. Is he right?
8)Meera lists the factor pairs of 24 as (1, 24), (2, 12), (3, 8), (4, 5). Check the last pair - does 4 × 5 equal 24?
9)Isha says every multiple of a number is bigger than the number itself. Is this true for the very first multiple?
10)Kabir says 51 is a prime number because it is not divisible by 2 or 5. What did he forget to check, and is 51 actually prime?

Answers

1) He missed 18 itself. The complete list of factors of 18 is 1, 2, 3, 6, 9, 18.
2) No. Every number is a factor of itself - for example, 7 is a factor of 7, since 7 ÷ 7 = 1 exactly.
3) The third multiple, 20, is wrong. 7 × 3 = 21, not 20, so the correct list is 7, 14, 21, 28, 35.
4) No. A prime number must have exactly two factors - 1 and itself. The number 1 has only one factor (itself), so it is neither prime nor composite.
5) No, 3 is not a factor of 8 (8 ÷ 3 does not divide exactly). The correct common factors of 8 and 12 are 1, 2, 4.
6) No, 5 is not a factor of 9 (the factors of 9 are 1, 3, 9). The correct common factors of 9 and 15 are 1, 3.
7) No. 2 is a prime number and it is even - being prime only requires exactly two factors, not being odd.
8) No, 4 × 5 = 20, not 24. The correct fourth pair is (4, 6), since 4 × 6 = 24.
9) The very first multiple of a number is the number itself (1 times the number), so it is equal to it, not bigger. Every multiple after that is bigger.
10) He forgot to check divisibility by 3. 51 ÷ 3 = 17 exactly, so 51 is not prime - it is composite, with factors 1, 3, 17, 51.

Exercise 7 of 8 · 12 questions

Solve each word problem.

Write the answer

Here’s one done for you

A caterer packs 30 samosas into equal boxes with none left over. List all the possible numbers of samosas per box. → This is the same as listing the factors of 30: 1 × 30, 2 × 15, 3 × 10, 5 × 6. So the possible box sizes are 1, 2, 3, 5, 6, 10, 15, 30.

1)A teacher has 24 pencils and wants to give an equal number to every student with none left over. List three different ways she could group the students (three factor pairs of 24).
2)A sweet shop arranges 36 laddus into equal rows for a festival display, with none left over. What are all the possible numbers of rows it could use?
3)A cricket match is played every 4 days and a school holiday falls every 6 days. Both happen today. List the next three days (counting from today as day 0) on which a match and a holiday could fall together again.
4)Bus A leaves the depot every 15 minutes and Bus B leaves every 20 minutes. If both leave together now, list the next three times (in minutes from now) that they will leave together again.
5)A gardener plants saplings in equal rows, with no saplings left over, from a total of 45 saplings. List all the possible row sizes.
6)₹48 is to be split equally among a group of friends with nothing left over. List all the group sizes for which this is possible.
7)A shop restocks sweets every 8 days and biscuits every 12 days. It restocks both today. List the next three days on which it will restock both together again.
8)A number is a common factor of 20 and 30, and it is also a prime number. Which number or numbers fit?
9)A trader has 60 apples and 84 oranges and wants to split them into identical baskets, with the same number of apples and the same number of oranges in every basket. List the common factors of 60 and 84 - these are the possible numbers of baskets.
10)A number is a common multiple of both 5 and 8. List the three smallest such numbers.
11)Meera arranges 40 chairs into equal rows with no chairs left over. List all the possible numbers of chairs per row.
12)A book club meets every 9 days and a chess club meets every 6 days. Both meet today. List the next two days on which both clubs will meet on the same day.

Answers

1) Any three factor pairs of 24, such as 1 × 24, 2 × 12, and 3 × 8 (the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24).
2) 1, 2, 3, 4, 6, 9, 12, 18, 36 rows.
3) 12, 24, 36.
4) 60, 120, 180 minutes.
5) 1, 3, 5, 9, 15, 45.
6) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 friends.
7) 24, 48, 72.
8) 2 and 5.
9) 1, 2, 3, 4, 6, 12.
10) 40, 80, 120.
11) 1, 2, 4, 5, 8, 10, 20, 40.
12) 18, 36.

Exercise 8 of 8 · 10 questions

Answer each question, explaining your thinking where asked.

Write the answer

Here’s one done for you

Without listing all the factors, how can you tell 84 is a multiple of both 6 and 7? → 84 = 12 × 7, so it is automatically a multiple of 7. It is also even and its digits add up to 8 + 4 = 12, a multiple of 3 - and a number that is a multiple of both 2 and 3 is always a multiple of 6. So 84 is a multiple of both 6 and 7.

1)Without listing all the factors, how can you tell 51 is not prime, just by checking whether its digits add up to a multiple of 3?
2)Explain why every even number greater than 2 must be composite (not prime).
3)How do you know 1 is neither prime nor composite?
4)Without dividing, how can you tell 90 is a multiple of both 9 and 10?
5)A number has exactly two factors. What kind of number must it be?
6)Explain why every multiple of 10 is also a multiple of 5.
7)Find a two-digit number that is even and has exactly 4 factors.
8)Find a number less than 20 that is both a multiple of 3 and a prime number.
9)List two prime numbers between 1 and 20 that are each one more than a multiple of 6 (like 7, since 7 = 6 + 1).
10)A number is a common multiple of 6 and 8, and it is less than 50. What is the number?

Answers

1) 51’s digits add up to 5 + 1 = 6, and 6 is a multiple of 3, so 51 is divisible by 3 (51 ÷ 3 = 17) - meaning it has a factor besides 1 and itself, so it is not prime.
2) Any even number is divisible by 2. If the number is also greater than 2, then 1, 2 and the number itself are three different factors, so it has more than the two factors a prime number is allowed - making it composite.
3) A prime number has exactly two factors, and a composite number has more than two factors. The number 1 has only one factor (itself), so it does not fit either definition.
4) 90 = 9 × 10, so it is automatically a multiple of both 9 and 10. Also, its digits add up to 9 (a multiple of 9), and it ends in 0 (a multiple of 10).
5) It must be a prime number - that is the definition of a prime number.
6) Because 10 itself is a multiple of 5 (10 = 5 × 2), any multiple of 10 is also 5 multiplied by an even number, so it is always a multiple of 5 too.
7) 10 (factors 1, 2, 5, 10) - other two-digit even numbers with exactly 4 factors, such as 14 or 22, also work.
8) 3 (its factors are only 1 and 3, and it is a multiple of itself, 3 × 1).
9) 7 and 13 (19 also works, since 19 = 18 + 1).
10) 24 (48 also works, since both are common multiples of 6 and 8 that are less than 50).

While your child works

Listing factors in pairs (1 and 12, 2 and 6, 3 and 4) is faster and less error-prone than listing them in a single row.
This worksheet does not ask for HCF or LCM by name - if your child has learned those terms elsewhere, that is fine, but they are not required here.
The prime-number exercise is usually the hardest on this sheet; a quick recap of the tables tends to help more than a rule about primes.

Before you print it

What is on this worksheet

8 exercises, 90 questions, about 65 minutes. Every exercise has an answer key, printed on its own page so it can be kept back. 8 exercises start with a question already worked out, so you can check the method before helping.

Exercise	What the child does	Questions	Worked example
1	Written answers	12	Yes
2	Written answers	12	Yes
3	Written answers	12	Yes
4	Circle the answer	12	Yes
5	Written answers	10	Yes
6	Written answers	10	Yes
7	Written answers	12	Yes
8	Written answers	10	Yes

More Class 5 Maths worksheets

Each one is a complete sheet with its own answer key, free to print.

Questions parents ask

About this worksheet

Does this worksheet cover HCF and LCM?

No, and neither does the Class 5 syllabus. Common factors and primes are introduced by name, but HCF and LCM as formal methods are taught from Class 6 onward.

What is the difference between a factor and a multiple on this worksheet?

A factor of a number divides into it exactly with nothing left over; a multiple is what you get by multiplying that number by a whole number. The worksheet practises both, plus common factors and primes.

Is this worksheet printable with an answer key?

Yes, the full set of factors, multiples and common factors for every question is listed as the answer key, both on this page and in the separate PDF.

Does this Class 5 Maths worksheet come with answers?

Yes. Every exercise has a full answer key, and it prints on its own page at the end rather than beside the questions - so you can hand your child the sheet and keep the answers back. Some exercises also show one question already worked out, with the method rather than just the result, which is the part most answer keys leave out.

Is there a free printable PDF?

Yes, and there is no sign-up, no email and no account. The download button at the top of the sheet gives you the whole thing - all 90 questions across 8 exercises, plus the answer key - laid out to print on A4.

How long does this worksheet take?

About 65 minutes for 90 questions, though that is a guide rather than a target. It is designed to be split: the exercises are ordered so stopping halfway still leaves a complete piece of work, which matters more than finishing at this age.

Can I use it if my child is in a different class?

Often, yes - these topics are taught across several years and schools vary in when they arrive. Judge by the questions rather than the class on the label. If the first exercise is a struggle the level below is the better start, and the same topic at other levels is linked further up this page.

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