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Class 4 Maths - Factors and Multiples - CBSE Worksheets Solutions

Class 4 Maths - Factors and Multiples - CBSE Worksheets SolutionsQ1: Multiple Choice Questions (MCQs)

(i) Which of the following is NOT a factor of 20?
(a) 2
(b) 5
(c) 8
(d) 7

Ans: (d)

Factors of 20 are 1, 2, 4, 5, 10, 20. 7 is not a factor of 20.

(ii) What is the smallest prime number?
(a) 0
(b) 1
(c) 2
(d) 3

Ans: (c) 2

Prime numbers start from 2, which is the smallest prime number.

(iii) Which of the following is a prime number?
(a) 15
(b) 21
(c) 29
(d) 35

Ans: (c)

Prime numbers have only two factors, 1 and the number itself. 29 is only divisible by 1 and 29.

(iv) What are the common factors of 18 and 24?
(a) 1, 2, 3, 6
(b) 2, 4, 6, 8
(c) 3, 6, 9, 12
(d) 4, 8, 12, 16

Ans: (a)

Factors of 18: 1, 2, 3, 6, 9, 18. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Common factors are 1, 2, 3, 6.

(v) Which of the following numbers is NOT a multiple of 9?
(a) 45
(b) 63
(c) 72
(d) 82

Ans: (d)

A multiple of 9 must be divisible by 9. 82 is not divisible by 9.

Q2: True or False

(i) 36 is a multiple of 9.
Ans: True

The first ten multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90.

(ii) 6 is the least non-zero multiple of 6.
Ans: 
True

In this question, the number is 6.
We know that, multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54 and so on.
By observing above multiples, it is clear that, 6 is the least non-zero multiple of 6.
So, the least non-zero multiple of 6 is 6.

(iii) 1 is the multiple of 5.
Ans:
True

Yes, every whole number is a multiple of 1.

Class 4 Maths - Factors and Multiples - CBSE Worksheets Solutions

Q3: Fill in the Blanks

(i) The first six multiples of 4 are ____, ____, ____, ____, ____, and ____.
Ans:
4, 8, 12, 16, 20, 24

Multiples of 4 obtained by multiplying 4 by counting numbers 1 through 6.

(ii) A number divisible by both 3 and 5 is a multiple of ____.
Ans: 
15

3 × 5 = 15, a number divisible by both 3 and 5.

(iii) The number 17 is ____ because it has only two factors.
Ans:
prime

Prime numbers have only two factors: 1 and the number itself.

(iv) The smallest whole number is ____.
Ans:
0

Whole numbers start from 0.

(v) The common factors of 12 and 18 are ____, ____, and ____.
Ans:
1, 2, 3, 6

Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 18: 1, 2, 3, 6, 9, 18. Common factors are 1, 2, 3, 6.

Q4: Answer the following questions

(i) Encircle the prime numbers: 14, 19, 37, 45, 61 , 69, 77, 81, 99.
Ans:
19, 37, 61. These are prime numbers. A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

(ii) Write the prime factorization of 96.
Ans: The prime factors of 96 thus obtained are written as 96 = 2 × 2 × 2 × 2 × 2 × 3 = 2^5 × 3^1, where 2 and 3 are the prime numbers.

(iii) Write the smallest number which when added to an even number makes the sum an odd number. 
Ans: The smallest number which when added to an even number makes it an odd number is 1. An even number is always divisible by 2.

(iv) Encircle the composite numbers: 21, 31, 39, 49, 51, 53, 63, 91, 97.
Ans: A number that is divisible by a number other than 1 and the number itself, is called a composite number. The composite numbers in the above series are 21, 39, 49, 51, 63, 91.

The document Class 4 Maths - Factors and Multiples - CBSE Worksheets Solutions is a part of the Class 4 Course Mathematics for Class 4.
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FAQs on Class 4 Maths - Factors and Multiples - CBSE Worksheets Solutions

1. What are factors and how do I find them for a number?
Ans.Factors are numbers that divide another number completely without leaving a remainder. To find the factors of a number, you can start dividing it by 1 and then proceed to check all the numbers up to that number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.
2. What are multiples and how can I list them for a given number?
Ans.Multiples of a number are the product of that number and any whole number. To list the multiples of a number, you can start by multiplying it by 1, 2, 3, and so on. For example, the first five multiples of 3 are 3, 6, 9, 12, and 15.
3. How do factors and multiples differ from each other?
Ans.Factors are the numbers that can be multiplied together to get a certain number, while multiples are the results of multiplying a number by whole numbers. For example, factors of 10 are 1, 2, 5, and 10, whereas the multiples of 10 include 10, 20, 30, and so on.
4. Can a number have more than two factors?
Ans.Yes, a number can have more than two factors. For example, the number 18 has the factors 1, 2, 3, 6, 9, and 18. Numbers that have exactly two factors are called prime numbers, like 2, 3, and 5.
5. How do I determine if a number is prime or composite using factors?
Ans.To determine if a number is prime or composite, you can find its factors. If the number has exactly two factors (1 and itself), it is a prime number. If it has more than two factors, it is a composite number. For example, 7 is prime (factors: 1 and 7), while 8 is composite (factors: 1, 2, 4, and 8).
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