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All questions of Factors and Multiples for Class 5 Exam
Which of the following statements about even numbers is true?- a) They are always divisible by 2.
- b) They can only be prime.
- c) They end in 1, 3, 5, 7, or 9.
- d) They have no factors.
Correct answer is option 'A'. Can you explain this answer?
Which of the following statements about even numbers is true?
a)
They are always divisible by 2.
b)
They can only be prime.
c)
They end in 1, 3, 5, 7, or 9.
d)
They have no factors.
|
Mujtaba Hasan answered |
The correct answer is option a since they are even and end with 2,4,6,8 or 0 which matches with the divisibility rule of 2.
What is the first common multiple of 5 and 10?- a) 15
- b) 5
- c) 10
- d) 20
Correct answer is option 'C'. Can you explain this answer?
What is the first common multiple of 5 and 10?
a)
15
b)
5
c)
10
d)
20
|
Dr Manju Sen answered |
The multiples of 5 are 5, 10, 15, 20, etc., and the multiples of 10 are 10, 20, etc. The first common multiple is 10.
Which method is used to find the HCF by repeated division?- a) Factor tree method
- b) Common division method
- c) Listing method
- d) Prime factorization method
Correct answer is option 'B'. Can you explain this answer?
Which method is used to find the HCF by repeated division?
a)
Factor tree method
b)
Common division method
c)
Listing method
d)
Prime factorization method
|
Kds Coaching answered |
The common division method involves writing the numbers in a row and dividing them by the smallest common prime factor until no common factors remain.
Which of the following pairs are twin primes?- a) (8, 10)
- b) (10, 12)
- c) (5, 7)
- d) (12, 14)
Correct answer is option 'C'. Can you explain this answer?
Which of the following pairs are twin primes?
a)
(8, 10)
b)
(10, 12)
c)
(5, 7)
d)
(12, 14)
|
Gunjan Lakhani answered |
Twin primes are pairs of prime numbers that have a difference of 2. The pair (5, 7) fits this definition since 7 - 5 = 2.
Identify a characteristic of co-prime numbers.- a) They must be both prime.
- b) They are always consecutive integers.
- c) They have at least one common factor greater than 1.
- d) Their only common factor is 1.
Correct answer is option 'D'. Can you explain this answer?
Identify a characteristic of co-prime numbers.
a)
They must be both prime.
b)
They are always consecutive integers.
c)
They have at least one common factor greater than 1.
d)
Their only common factor is 1.
|
|
Gunjan Lakhani answered |
Co-prime numbers are defined as having no common factors other than 1. This means that they do not share any prime factors.
What is the relationship between the HCF and LCM of two numbers?- a) HCF is always greater than LCM.
- b) The product of the two numbers equals the product of their HCF and LCM.
- c) There is no relationship.
- d) They are always equal.
Correct answer is option 'B'. Can you explain this answer?
What is the relationship between the HCF and LCM of two numbers?
a)
HCF is always greater than LCM.
b)
The product of the two numbers equals the product of their HCF and LCM.
c)
There is no relationship.
d)
They are always equal.
|
|
Kds Coaching answered |
The product of the two numbers equals the product of their highest common factor (HCF) and least common multiple (LCM), illustrating a significant relationship in number theory.
If a number is divisible by both 3 and 4, which of the following numbers must it also be divisible by?- a) 10
- b) 7
- c) 5
- d) 12
Correct answer is option 'D'. Can you explain this answer?
If a number is divisible by both 3 and 4, which of the following numbers must it also be divisible by?
a)
10
b)
7
c)
5
d)
12
|
Glitz Classes answered |
A number that is divisible by both 3 and 4 is also divisible by their least common multiple, which is 12.
How many prime factors does the number 236 have?- a) 1
- b) 3
- c) 2
- d) 4
Correct answer is option 'C'. Can you explain this answer?
How many prime factors does the number 236 have?
a)
1
b)
3
c)
2
d)
4
|
|
Glitz Classes answered |
The prime factorization of 236 is 2 × 2 × 59, which includes two prime factors: 2 and 59. Therefore, it has 2 distinct prime factors.
Which of the following is an example of a perfect number?- a) 6
- b) 10
- c) 8
- d) 12
Correct answer is option 'A'. Can you explain this answer?
Which of the following is an example of a perfect number?
a)
6
b)
10
c)
8
d)
12
|
|
Glitz Classes answered |
A perfect number equals the sum of its factors excluding itself. For 6, the factors are 1, 2, and 3, which add up to 6. Thus, 6 is a perfect number.
What is the greatest common factor (GCF) of 28 and 72?- a) 6
- b) 2
- c) 8
- d) 4
Correct answer is option 'D'. Can you explain this answer?
What is the greatest common factor (GCF) of 28 and 72?
a)
6
b)
2
c)
8
d)
4
|
|
Gunjan Lakhani answered |
The factors of 28 are 1, 2, 4, 7, and 14; the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The common factors are 1, 2, and 4, with the greatest being 4.
Which of the following pairs of numbers are co-prime?- a) 8 and 12
- b) 9 and 27
- c) 4 and 10
- d) 15 and 28
Correct answer is option 'D'. Can you explain this answer?
Which of the following pairs of numbers are co-prime?
a)
8 and 12
b)
9 and 27
c)
4 and 10
d)
15 and 28
|
|
Glitz Classes answered |
The numbers 15 and 28 share no common factors other than 1, making them co-prime. The other pairs share factors greater than 1.
What is a factor of a number?- a) A number that divides another number completely with no remainder.
- b) A number that can be added to another number.
- c) A number that is always odd.
- d) A number that is greater than the original number.
Correct answer is option 'A'. Can you explain this answer?
What is a factor of a number?
a)
A number that divides another number completely with no remainder.
b)
A number that can be added to another number.
c)
A number that is always odd.
d)
A number that is greater than the original number.
|
|
Gunjan Lakhani answered |
A factor of a number is defined as a number that divides another number completely without leaving a remainder. For example, factors of 36 include 1, 2, 3, 4, 6, etc., as they can divide 36 evenly.
What is the HCF of 24 and 48 using the listing method?- a) 48
- b) 24
- c) 12
- d) 6
Correct answer is option 'B'. Can you explain this answer?
What is the HCF of 24 and 48 using the listing method?
a)
48
b)
24
c)
12
d)
6
|
|
Gunjan Lakhani answered |
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The greatest common factor is 24.
What is a common multiple of 3 and 6?- a) 4
- b) 6
- c) 9
- d) 5
Correct answer is option 'B'. Can you explain this answer?
What is a common multiple of 3 and 6?
a)
4
b)
6
c)
9
d)
5
|
|
Kds Coaching answered |
A common multiple of two numbers is a number that is a multiple of both. The first common multiple of 3 and 6 is 6 itself.
What is the least common multiple (LCM) of 18 and 36?- a) 54
- b) 72
- c) 18
- d) 36
Correct answer is option 'D'. Can you explain this answer?
What is the least common multiple (LCM) of 18 and 36?
a)
54
b)
72
c)
18
d)
36
|
|
Glitz Classes answered |
The multiples of 18 are 18, 36, 54, 72, etc., and the multiples of 36 are 36, 72, etc. The smallest common multiple is 36.
Identify the smallest factor of any number.- a) 0
- b) 2
- c) 1
- d) The number itself
Correct answer is option 'C'. Can you explain this answer?
Identify the smallest factor of any number.
a)
0
b)
2
c)
1
d)
The number itself
|
|
Gunjan Lakhani answered |
The smallest factor of any number is always 1, as every integer is divisible by 1.
Which of the following numbers is a composite number?- a) 4
- b) 5
- c) 2
- d) 3
Correct answer is option 'A'. Can you explain this answer?
Which of the following numbers is a composite number?
a)
4
b)
5
c)
2
d)
3
|
|
Gunjan Lakhani answered |
A composite number is a number that has more than two factors. The number 4 has factors of 1, 2, and 4, making it composite.
Which of the following is NOT a property of multiples?- a) They can include zero.
- b) They are always greater than or equal to the original number.
- c) They can be negative numbers.
- d) They continue infinitely.
Correct answer is option 'A'. Can you explain this answer?
Which of the following is NOT a property of multiples?
a)
They can include zero.
b)
They are always greater than or equal to the original number.
c)
They can be negative numbers.
d)
They continue infinitely.
|
|
Gunjan Lakhani answered |
While multiples can include zero, they are typically positive integers when discussing positive multiples. Negative multiples are not commonly referred to in this context.
Chapter doubts & questions for Factors and Multiples - Mathematics Class 5 ICSE 2025 is part of Class 5 exam preparation. The chapters have been prepared according to the Class 5 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 5 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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