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Factors and Multiples- 2 - Free MCQ Practice Test with solutions,


MCQ Practice Test & Solutions: Test: Factors and Multiples- 2 (10 Questions)

You can prepare effectively for Class 5 Mathematics for Class 5 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Factors and Multiples- 2". These 10 questions have been designed by the experts with the latest curriculum of Class 5 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 10

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Test: Factors and Multiples- 2 - Question 1

What are the common factors of 9 and 36?

Detailed Solution: Question 1

Factors of 9 = 1, 3, 9
Factors of 36 = 1, 3, 4, 6, 9, 12, 36
Common factors are 1, 3, 9.

Test: Factors and Multiples- 2 - Question 2

Find three common multiples of 18 and 6.

Detailed Solution: Question 2

Multiples of 18 = 18, 36, 54...
Multiples of 6 = 6, 12, 18,...
The first common multiple will be 18 And the next common multiples will be multiples of 18
Hence, first three common multiples of 18, 6 are 18, 36, 54.

Test: Factors and Multiples- 2 - Question 3

How many prime numbers are there from 50 to 100?

Detailed Solution: Question 3

The prime numbers between 50 and 100 are 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97, which are 10 in number.

Test: Factors and Multiples- 2 - Question 4

How is 20 written as the product of primes?

Detailed Solution: Question 4

The prime factorization of 20 is calculated by dividing 20 by the smallest primes until all factors are prime. The process is as follows:

  • Starting with 2, we divide: 20 ÷ 2 = 10.
  • Next, we divide 10 by 2 again, resulting in 5.
  • Since 5 is a prime number, the process stops here.

Therefore, 20 can be expressed as:

2 × 2 × 5.

Test: Factors and Multiples- 2 - Question 5

What is the sum of the first five multiples of 8?

Detailed Solution: Question 5

The first five multiples of 8 are:

  • 8
  • 16
  • 24
  • 32
  • 40

Their sum is calculated as follows:

Sum = 8 + 16 + 24 + 32 + 40 = 120.

This can also be verified using the formula for the sum of an arithmetic series:

Sum = n/2 × (first term + last term).

Here, n = 5, so:

Sum = 5/2 × (8 + 40) = 5/2 × 48 = 120.

Thus, the correct answer is D.

Test: Factors and Multiples- 2 - Question 6

Which of the following is the largest factor of 24?

Detailed Solution: Question 6

The largest factor of any number is the number itself. So, the largest factor of 24 is 24.

Test: Factors and Multiples- 2 - Question 7

Which number is a multiple of both 2 and 3?

Detailed Solution: Question 7

Multiples of 2 = 2, 4, 6, 8, 10, 12…
Multiples of 3 = 3, 6, 9, 12, 15…
The common multiple among the options is 12.

Test: Factors and Multiples- 2 - Question 8

What is the Least Common Multiple (LCM) of 5 and 10?

Detailed Solution: Question 8

Multiples of 5 = 5, 10, 15, 20…
Multiples of 10 = 10, 20, 30…
The smallest common multiple is 10.

Test: Factors and Multiples- 2 - Question 9

Which number has exactly 2 factors?

Detailed Solution: Question 9

Prime numbers have exactly 2 factors (1 and itself). Here, 7 is prime.

Test: Factors and Multiples- 2 - Question 10

Which is the Highest Common Factor (HCF) of 12 and 16?

Detailed Solution: Question 10

Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 16 = 1, 2, 4, 8, 16
Common factors = 1, 2, 4
The highest common factor is 4.

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