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

5th Grade > Mathematics

FACTORS AND MULTIPLES MCQs

Total Questions : 40 | Page 4 of 4 pages

The smallest prime number is

Discuss Question

Answer: Option B. -> 2
:
B

A prime number must have exactly two factors (1 and the number itself). Therefore, the number 2 is the lowest prime number as its only factors are 1 and 2.

Question 32.

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 33.

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 34.

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 35.

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 numbers we 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 36.

We know that $3 \times 5 = 15$
Which of the following statements is incorrect?

15 is a multiple of 3
15 is a multiple of 5
3 is a factor of 15
15 is a factor of 3

Discuss Question

Answer: Option D. -> 15 is a factor of 3
:
D

When we multiply two numbers, both the numbers are the factors of the product obtained. Here we have 3 and 5, which are the factors of 15.
The product obtained is the multiple of the two numbers. Here we have 15, which is the muliple of both 3 and 5.
Therefore, the statement "15 is a factor of 3" is incorrect because 15 is a multiple of 3.

Question 37.

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 38.

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 39.

The smallest composite number is

Discuss Question

Answer: Option B. -> 4
:
B
A composite number is a number which has more than two factors.
The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16. The smallest among the set of composite numbers is 4.

Question 40.

The sum of first five multiples of 6 is ___.

Discuss Question

Answer: Option C. -> 90
:
C

First 5 multiples of 6: $6, 12, 18, 24, 30$
Sum of first 5 multiples of 6 is : $6 + 12 + 18 + 24 + 30 = 90$