# Free Factors and Multiples 01 Practice Test - 5th Grade

The smallest prime number is

A. 1
B. 2
C. 3
D. 0

#### SOLUTION

Solution : 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.

Which of the following is a factor pair of 26?

A. 2 and 13
B. 1 and 13
C. 3 and 12
D. 4 and 6

#### SOLUTION

Solution : A

2 and 13 form a factor pair of 26 as 2×13=26.

1 and 13 form a factor pair of 13 as 1×13=13.

3 and 12 form a factor pair of 36 as 3×12=36.

4 and 6 form a factor pair of 24 as 4×6=24.

How many factors does the number 4 have?

A. 1
B. 4
C. 3
D. Infinite

#### SOLUTION

Solution : C

4=1×44=2×2
The factors of 4 are: 1, 2 and 4.
Therefore, the number 4 has 3 factors.

Which list has the multiples of 6?

A. 1, 2, 3, 6
B. 1, 6
C. 2, 4, 6, 8
D. 6, 12, 18, 24

#### SOLUTION

Solution : D

Multiples are the numbers we get after multiplying a given number by another number.
Multiples of 6 are

6×1=66×2=126×3=186×4=24

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

A. Prime
B. Perfect
C. Even
D. Odd

#### SOLUTION

Solution : 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.

We know that 3×5=15
Which of the following statements is incorrect?

A. 15 is a multiple of 3
B. 15 is a multiple of 5
C. 3 is a factor of 15
D. 15 is a factor of 3

#### SOLUTION

Solution : 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.

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

A. 2
B. 3
C. 14
D. 7

#### SOLUTION

Solution : C

The largest number which can divide 28 and 42 completely is the HCF of the two numbers.

HCF of 28 and 42
=2×7=14

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

A. 24
B. 12
C. 6
D. 1

#### SOLUTION

Solution : A

The least number which is exactly divisible by 6, 12, 24 is the LCM of the 3 numbers.

26,12,2423,6,1223,3,633,3,31,1,1

LCM of 6, 12 and 24
=2×2×2×3=24

The sum of first five multiples of 6 is  ___.

A. 30
B. 60
C. 90
D. 120

#### SOLUTION

Solution : 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

The smallest composite number is

A. 1
B. 4
C. 3
D. 0

#### SOLUTION

Solution : 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.