# Worksheet on Factors and Multiples | Factors and Multiples Worksheet with Answers PDF

Find a wide range of free Math Worksheets that assist your child in learning factors and multiples at the student level. The Factors and Multiples Worksheets provided are designed with questions ranging from difficult to easiest ones. This Activity Worksheet on Factors and Multiples will support your child’s learning as well as help them understand what do factors and multiples actually mean and how to find them, etc.Â  Practice using this Maths Worksheet on Factors and Multiples and develop mental calculation skills.

The Problems available in the Factors and Multiples Practice Sheets can be a great resource to aid your child’s understanding of the concept. You can use them right after your class or for homework and assignments. Download the Printable Factors and Multiples Worksheet with Answers PDF without paying a single penny and ace up your preparation. We are sure by the end of this article you will find the concept of factors, multiples interesting as they are given in an interactive manner.

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## Factors and Multiples Worksheet with Answers

Problem 1.
Find the first 6 multiples of 8?

Solution:

First, 6 Multiples of 8 are 8, 16, 24, 32, 40, 48.

Problem 2.
Write the factors of the following
(i) 24
(ii) 32
(iii)15
(iv) 42
(v) 35
(vi) 50

Solution:

(i) 24
Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
(ii) 32
Factors of 32 are 1, 2, 4, 8, 16, 32
(iii)15
Factors of 15 are 1, 3, 5, 15
(iv) 42
Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
(v) 35
Factors of 35 are 1, 5, 7, 35
(vi) 50
Factors of 50 are 1, 2, 5, 10, 25, 50

Problem 3.
Write the first 4 multiples of the following
(i) 6
(ii) 5
(iii) 8
(iv) 3
(v) 10

Solution:

(i) 6
The First 4 Multiples of 6 are 6, 12, 18, 24
(ii) 5
The First 4 Multiples of 5 are 5, 10, 15, 20
(iii) 8
The First 4 Multiples of 8 are 8, 16, 24, 32
(iv) 3
The First 4 Multiples of 3 are 3, 6, 9, 12
(v) 10
The First 4 Multiples of 10 are 10, 20, 30, 40

Problem 4.
Find the Missing Factors of the following

(i) 6 Ã— ___ = 36
(ii) 5 Ã— ___ = 25
(iii) ___ Ã— 3 = 27
(iv) ___ Ã— 6 = 54
(v) 7 Ã— ___ = 63
(vi)10 Ã— ___ = 70

Solution:

(i) 6 Ã— _6__ = 36
(ii) 5 Ã— _5__ = 25
(iii) __9_ Ã— 3 = 27
(iv) _9__ Ã— 6 = 54
(v) 7 Ã— _9__ = 63
(vi)10 Ã— _7__ = 70

Problem 5.
Mark True or False for the following statements
(i) 1 is a factor of every number
(ii) 0 is a factor of every number

Solution:

(i)True
(ii)False

Problem 6.
If Aravind solves every seventh math problem and Neeraj solves every eighth math problems in a worksheet, which question will be the first one that both of them will solve?

Solution:

Let us write multiples of 7 as Aravind Solves every Seventh Problem in a Worksheet i.e. 7, 14, 21, 28, 35, 42, 49, 56, 63, 70…
Now let us write the multiples of 8 as Neeraj Solves every eighth problem in a Worksheet i.e. 8, 16, 24, 32, 40, 48, 56, 64, 72, 80…
Now look for the common factors in the multiples of both 7 and 8 and underline them.

As 56 is the first common factor that Aravind and Neeraj Share it would be the first question that both of them will solve.

Problem 7.
Fill in the Blank
3×7= 21, here 3, 7 are the …….. of 21?

Solution:

3×7= 21, here 3, 7 are the …factors….. of 21.

Problem 8.
Find a number that is a factor of 30 and lies between 5 and 10?

Solution:

Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
Since the question is about the factor of 30 that lies between 5 and 10 then 6 is the result.
Therefore, 6 is the factor of 30 that lies in between 5 and 10.

Problem 9.
List down the first three common multiples of 4 and 5?

Solution:

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,…..
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80,…..
The First Common Multiples of 4 and 5 are 20, 40, 60.

Problem 10.
Color the factors of 10 out of the given options.

Solution:

In the above table, we know the factors of 10 are 30, 60, 40, 80, 20, 70. So let us color them.

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