# Class 4 Maths Factors and Multiples Worksheets

Download free pdf of CBSE Class 4 Factors And Multiples Worksheets with answer. Students can easily get all the Class 4 Maths Factors And Multiples Worksheets and Exercises in Free Printable ( PDF Format) as per the latest syllabus and examination pattern in CBSE and NCERT pattern. Below you will find all the Factors And Multiples related sums that are asked in 4th Grade Mathematics Exams Across Indian Schools.

## Factors And Multiples Class 4 Mathematics Worksheet Pdf

### Factors and Multiples Worksheet for Class 4 with Answers

Q.1 Fill in the blanks.
(a) _________________ is a factor of every number.
(b) A number has _________________ number of multiples.
(c) 1, 2, 3, 4, 6 and 12 are the ____________________ of 12.
(d) The multiples of 6 less than 29 are _______________
(e) The smallest multiple of 21 is _______________.

a) 1
b) infinite
c) multiples
d) The multiples of 6 less than 29 are 6, 12, 18, 24.
e) 3

Q.2 State whether the following are True or False.
(a) 210 is a multiple of 3. ________________
(b) 135 is a multiple of 7. ________________
(c) 2, 6, 5, 12, 18, 24 are all multiples of 6. ________________
(d) 5, 10, 15, 20, 25, 30 are all multiples of 5. ______________
(e) 8 × 4 = 32, 32 is a multiple of both 8 and 4. ________________
(f) 1, 2, 4, 6 are multiples of 2. _________________
(g) 1, 3, 6, 9, 18 are factors of 18. _________________
(h) 0 is the smallest factor of a number. _________________
(i) 48 is a multiple of 12. ________________
(j) 18 is a factor of 3. _________________
(k) Each factor of a number is greater than the number. ________________
(l) Each multiple of a number is less than the number. __________________

a) True
b) False
c) True
d) True.
e) True
f) True
g) True
h) False
i) True.
j) True
k) False
l) False.

Q.3 Solve the below Questions
(a) Write the first five multiples of 7. _________________________
(b) Write the first five odd multiples of 9 and first five even multiples of 15. ____________
(c) Write the multiples 10, which are greater than 40 but less than 80. ___________
(d) Write multiples of 4, which are less than 20. _____________________________

(a) The first five multiples of 7 are: 7, 14, 21, 28, 35.

(b) The first five odd multiples of 9 are: 9, 27, 45, 63, 81.
The first five even multiples of 15 are: 30, 60, 90, 120, 150.

(c) The multiples of 10, which are greater than 40 but less than 80, are: 50, 60, 70.

(d) The multiples of 4, which are less than 20, are: 4, 8, 12, 16.

Q.4 Find the factors of each of the following using the multiplication tables.
(a) 45 _____________________________________________
(b) 28 _____________________________________________
(c) 100 _____________________________________________

(a) Factors of 45:

1 x 45 = 45

3 x 15 = 45

5 x 9 = 45 So, the factors of 45 are 1, 3, 5, 9, 15, and 45.

(b) Factors of 28:

1 x 28 = 28

2 x 14 = 28

4 x 7 = 28 So, the factors of 28 are 1, 2, 4, 7, 14, and 28.

(c) Factors of 100:

1 x 100 = 100

2 x 50 = 100

4 x 25 = 100

5 x 20 = 100

10 x 10 = 100 So, the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

Q.5 List the common factors and find the HCF of 16 and 30.

Common factors of 16 and 30: Factors of 16: 1, 2, 4, 8, 16

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The common factors are 1 and 2.

HCF (Highest Common Factor) of 16 and 30 is 2.

Q.6 List the common multiples and find the LCM of 4 and 6.

Common multiples of 4 and 6:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, …

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, …

The common multiples are 12, 24, 36, …

LCM (Least Common Multiple) of 4 and 6 is 12.

Q.7 When is a number divisible by 6? 4. Which of the following numbers are divisible by 3?
23, 33, 43, 53, 63, 73

A number is divisible by 6 if it is divisible by both 2 and 3.

Out of the given numbers:

• 23 is not divisible by 3.
• 33 is divisible by 3.
• 43 is not divisible by 3.
• 53 is not divisible by 3.
• 63 is divisible by 3.
• 73 is not divisible by 3.

So, the numbers 33 and 63 are divisible by 3.

Q.8 How many factors can a composite number have?

Answer A composite number can have more than two factors. The number of factors a composite number has depends on its prime factorization. It will have at least three factors: 1, itself, and one other factor. The total number of factors will be greater depending on the number of distinct prime factors and their powers.

Q.9 Write 2 prime numbers whose difference is 6.

Answer Two prime numbers whose difference is 6 are 11 and 5 because 11 – 5 = 6.

Q.10 Write 36 as the product of prime factors, using the division method.

Prime factorization of 36:

1. Divide 36 by the smallest prime number, which is 2. 36 ÷ 2 = 18.
2. Divide 18 by 2 again. 18 ÷ 2 = 9.
3. Divide 9 by 3. 9 ÷ 3 = 3.
4. Divide 3 by 3 again. 3 ÷ 3 = 1.

So, the prime factorization of 36 is 2^2 x 3^2.

Q.11 Find the LCM of 10 and 14 by common division method.

LCM (Least Common Multiple) of 10 and 14:

1. List the prime factors of each number.
• Prime factors of 10: 2 x 5
• Prime factors of 14: 2 x 7
2. Take the highest power of each prime factor.
• LCM = 2^1 x 5^1 x 7^1 = 70

So, the LCM of 10 and 14 is 70.

Q.12 Find the HCF of 30 and 45 by common division method.

HCF (Highest Common Factor) of 30 and 45:

1. List the prime factors of each number.
• Prime factors of 30: 2 x 3 x 5
• Prime factors of 45: 3 x 3 x 5
2. Take the lowest power of each common prime factor.
• HCF = 3^1 x 5^1 = 15

So, the HCF of 30 and 45 is 15.

Q.14: Identify the factors of the given numbers.

1. 12: ____________
2. 15: ____________
3. 20: _____________
4. 24: _____________
5. 30: ________________

1. 1, 2, 3, 4, 6, 12
2. 1, 3, 5, 15
3. 1, 2, 4, 5, 10, 20
4. 1, 2, 3, 4, 6, 8, 12, 24
5. 1, 2, 3, 5, 6, 10, 15, 30

Q.15 : Identify the multiples of the given numbers.

1. 5: _________
2. 8: __________
3. 10: ____________
4. 15: _____________
5. 20: _______________

1. 5, 10, 15, 20, 25, 30, …
2. 8, 16, 24, 32, 40, …
3. 10, 20, 30, 40, 50, …
4. 15, 30, 45, 60, 75, …
5. 20, 40, 60, 80, 100, …

Q.16. Are co-prime numbers always prime numbers? Give an example.

No, co-prime numbers are not always prime numbers. Co-prime numbers are a pair of numbers that have no common positive integer factors other than 1. While one or both of the numbers in a co-prime pair can be prime, it is not a requirement.

Example: 15 and 28

15 is not a prime number because it has factors other than 1 and itself (1, 3, 5, 15).

28 is not a prime number either because it has factors other than 1 and itself (1, 2, 4, 7, 14, 28).

However, 15 and 28 are co-prime because their greatest common factor (GCF) is 1, and they do not share any other common factors. So, co-prime numbers can include both prime and composite numbers as long as they have no common factors other than 1.

Multiple choice questions (MCQ’s) on Factors and Multiples for Class 4

1. Write all the factors of 24.
(a) 1, 2, 3, 4, 6, 8, 12, 24
(b) 2, 4, 6
(c) 6, 8, 12
(d) 2, 4, 12
2. When two or more numbers are multiplied together is called.
(a) factors
(b) multiples
(c) product
(d) divisor
3. Write all the factors of 12.
(a) 1, 12
(b) 1, 2, 3, 4, 6, 12,
(c) 4, 3, 12
(d) 3, 6, 12
4. 8 is the factor of _____.
(a) 72
(b) 73
(c) 74
(d) 75
5. 15 is the factor of ____.
(a) 223 (b) 224
(c) 225 (d) 226
6. Prime Factorisation of 50 is ___.
(a) 2 × 5 × 5
(b) 2 × 5 × 10 × 2
(c) 2 × 5 × 6
(d) 2 × 5 × 7
7. The product of two whole numbers is a ___ of each other.
(a) divisor (b) multiples
(c) factors
(d) prime
8. Every number is a multiple of _______.
(a) 1
(b) 2
(c) 3
(d) 4
9. Prime Factor of 48
(a) 2 × 3 (b) 2 × 2 × 2 × 2 × 3
(c) 2 × 2 × 2 × 3 (d) 2 × 2 × 3
10. Is 16 is a multiple of ____.
(a) 20
(b) 4
(c) 25
(d) 30
11. Find the H.C.F of 16 and 36.
(a) 3
(b) 4
(c) 5
(d) 6
12. If the digit at its ones place is 0 or 5. A number is divisible by.
(a) 3
(b) 4
(c) 5
(d) 6
13. A ____ is the natural number greater than 1, which has namely 1 and itself.
(a) factor
(b) prime number
(c) composite number
(d) multiple
14. If the sum of its digits is divisible by 9. A number is divisible by ____.
(a) 8
(b) 9
(c) 10
(d) 11
15. Find the L.C.M. of 1, 2, 3 and 5 is _________.
(a) 30 (b) 40
(c) 50 (d) 60
16. Find the least number which is exactly divisible by 5, 10, 20
(a) 80
(b) 100
(c) 120
(d) 140
17. 4th multiple of 9 + 6th multiple of 2 is.
(a) 46
(b) 47
(c) 48
(d) 49
18. The numbers that have more than 2 factors are called ______.
(a) Factor
(b) Composite
(c) Prime
(d) Multiple
19. If the digit at its ones place is 0. A number is divisible by
(a) 8
(b) 9
(c) 10
(d) 11
20. 10th multiple of 10 + 5th multiple of 5 is
(a) 125
(b) 126
(c) 127
(d) 128
21. Find the prime factor of 110
(a) 2 × 5 × 11
(b) 3 × 5 × 10
(c) 4 × 5 × 11
(d) 5 × 5 × 12
22. All the factors are prime numbers is called _______.
(a) product
(b) multiples
(c) factors
(d) prime factorization

1. a
2. c
3. b
4. a
5. c
6. a
7. b
8. a
9. c
10. b
11. b
12. c
13. b
14. b
15. a
16. b
17. c
18. b
19. c
20. b
21. a
22. c