Factors And Multiples(5th Grade > Mathematics ) Questions and answers for exam Preparation

5th Grade > Mathematics

FACTORS AND MULTIPLES MCQs

Total Questions : 40 | Page 2 of 4 pages

Question 11. All the multiples of 9 are also the multiples of ___

Discuss Question

Answer: Option B. -> 3
:
B

9 = 3 \times 3

\Rightarrow

9 is a multiple of 3
Hence any multiple of 9 will also be a multiple of 3.

Question 12. ___ is a pair of co-prime numbers.

12, 15
7, 15
22, 48
24, 36

Discuss Question

Answer: Option B. -> 7, 15
:
B
If any two numbers Highest Common Factor is 1, then they are called co-prime to each other.
HCF of 12 and 15 is 3
HCF of 7 and 15 is 1
HCF of 22 and 48 is 2
HCF of 24 and 36 is 12
Therefore 7, 15is a pair of co-prime numbers since they have an HCF of 1.

Question 13. 72 books were arranged equally on 8 shelves. How many books are there on each shelf?

Discuss Question

Answer: Option B. -> 9
:
B
Number of books = 72
Number of shelves = 8
Therefore, books on each shelf = 72 divided by 8 = 9

Question 14. How many factors does the number 4 have?

1
4
3
Infinite

Discuss Question

Answer: Option C. -> 3
:
C

4 = 1 \times 4 4 = 2 \times 2

The factors of 4 are: 1, 2 and 4.
Therefore, the number 4 has 3 factors.

Question 15. Which list has the multiples of 6?

1, 2, 3, 6
1, 6
2, 4, 6, 8
6, 12, 18, 24

Discuss Question

Answer: Option D. -> 6, 12, 18, 24
:
D
Multiples are the numberswe get after multiplying a given number by another number.
Multiples of 6 are

6 \times 1 = 6 6 \times 2 = 12 6 \times 3 = 18 6 \times 4 = 24 \dots

Question 16. The largest number which can divide 28 and 42 completely is ___.

Discuss Question

Answer: Option C. -> 14
:
C
The largest number which can divide 28 and 42 completely is the HCF of the two numbers.

HCF of 28 and 42

= 2 \times 7 = 14

Question 17. Which of the following is a factor pair of 26?

2 and 13
1 and 13
3 and 12
4 and 6

Discuss Question

Answer: Option A. -> 2 and 13
:
A
2 and 13 form a factor pair of 26 as

2 \times 13 = 26.

1 and 13 form a factor pair of 13 as

1 \times 13 = 13.

3 and 12 form a factor pair of 36 as

3 \times 12 = 36.

4 and 6 form a factor pair of 24 as

4 \times 6 = 24.

Question 18. The least number which is exactly divisible by 6, 12, 24 is ___.

Discuss Question

Answer: Option A. -> 24
:
A
The least number which is exactly divisible by 6, 12, 24 is the LCM of the 3 numbers.

\begin{matrix} 2 & 6, 12, 24 2 & 3, 6, 12 2 & 3, 3, 6 3 & 3, 3, 3 1, 1, 1 \end{matrix}

LCM of 6, 12 and 24

= 2 \times 2 \times 2 \times 3 = 24

Question 19. The multiple of an even number is always a /an ___ number.

Prime
Perfect
Even
Odd

Discuss Question

Answer: Option C. -> Even
:
C
The multiple of an even number is always even.
Example:
Consider even number 4.
Its multiples are 4, 8, 12, 26, 20, 24…., which are all even.

Question 20. The smallest prime number is

Discuss Question

Answer: Option B. -> 2
:
B
Aprime numbermust have exactly two factors (1 and the number itself). Therefore, thenumber2 is the lowestprime numberas its only factors are 1 and 2.