119 LearnersLast updated on May 26th, 2025
Multiples of 4
In math, multiples are the products we get while multiplying a number with other numbers. Multiples play a key role in construction and design, counting groups of items, sharing resources equally, and managing time effectively. In this topic, we will learn the essential concepts of multiples of 4.
What are the Multiples of 4?
Now, let us learn more about multiples of 4. Multiples of 4 are the numbers you get when you multiply 4 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 4 can be denoted as 4 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:
Multiple of a number = Number × Any whole number
For example, multiplying 4 × 1 will give us 4 as the product. Multiples of 4 will be larger or equal to 4.
List of First 20 Multiples of 4
Multiples of 4 include the products of 4 and an integer. Multiples of 4 are divisible by 4 evenly. The first few multiples of 4 are given below:
| TABLE OF 4 (1-10) | |
|---|---|
|
4 x 1 = 4 |
4 x 6 = 24 |
|
4 x 2 = 8 |
4 x 7 = 28 |
|
4 x 3 = 12 |
4 x 8 = 32 |
|
4 x 4 = 16 |
4 x 9 = 36 |
|
4 x 5 = 20 |
4 x 10 = 40 |
| TABLE OF 4 (11-20) | |
|---|---|
|
4 x 11 = 44 |
4 x 16 = 64 |
|
4 x 12 = 48 |
4 x 17 = 68 |
|
4 x 13 = 52 |
4 x 18 = 72 |
|
4 x 14 = 56 |
4 x 19 = 76 |
|
4 x 15 = 60 |
4 x 20 = 80 |
Now, we know the first few multiples of 4. They are 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40,...
Operations with Multiples of 4
Understanding the multiples of 4 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 4, we apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 4:
4, 8, 12, 16, and 20 are the first five multiples of 4. When multiplying 4 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
4 + 8 + 12 + 16 + 20 = 60
When we add the first 5 multiples of 4, the answer will be 60.
Subtraction of first 5 Multiples of 4:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 4, 8, 12, 16, and 20 are the first five multiples of 4. So, let us calculate it as given below:
4 - 8 = -4
-4 - 12 = -16
-16 - 16 = -32
-32 - 20 = -52
Hence, the result of subtracting the first 5 multiples of 4 is -52.
Average of first 5 Multiples of 4:
To calculate the average, we need to identify the sum of the first 5 multiples of 4 and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation, averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 4 is 60.
4 + 8 + 12 + 16 + 20 = 60
Next, divide the sum by 5:
60 ÷ 5 = 12
12 is the average of the first 5 multiples of 4.
Product of First 5 Multiples of 4:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 4 include: 4, 8, 12, 16, and 20. Now, the product of these numbers is:
4 × 8 × 12 × 16 × 20 = 122,880
The product of the first 5 multiples of 4 is 122,880.
Division of First 5 Multiples of 4:
While we perform division, we get to know how many times 4 can fit into each of the given multiples. 4, 8, 12, 16, and 20 are the first 5 multiples of 4.
4 ÷ 4 = 1
8 ÷ 4 = 2
12 ÷ 4 = 3
16 ÷ 4 = 4
20 ÷ 4 = 5
The results of dividing the first 5 multiples of 4 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 4
While working with multiples of 4, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 4. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number. Multiples of 4 refer to the products we get while multiplying 4 with other numbers. For example, multiples of 4 include 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40….
The factors of 4 are 1, 2, and 4. When 4 is divided by 1, 2, and 4, the remainder will be zero. These are the factors of 4, meaning that these numbers can divide 4 without any remainder.
Factors of 4:
4 ÷ 1 = 4
4 ÷ 2 = 2
4 ÷ 4 = 1
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 4 include 4, 8, 12, 16, 20, 24, …..40, 44,...
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 4, the result will still be a multiple of 4. For example, children may write,
4 + 8 = 13, (which is wrong and the correct answer is 12)
This is incorrect because 13 is not a multiple of 4. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 4.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 4, and any other number, is zero; it has a valid value. Remember this:
4 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 4 + 4 + 4 + 4 + 4. Instead of adding too many values, use multiplication. Calculate 4 × n for the nth multiple.
For example, instead of 4 + 4 + 4 + 4 + 4, calculate it as given below:
4 × 5 = 20
Multiples of 4 Examples
Problem 1
In the local library, each librarian is responsible for organizing books in sections of 4. If there are 6 librarians working, and each organizes 4 sections per day, how many sections will be organized after 5 days?
120 sections
Explanation
Each librarian organizes 4 sections per day. With 6 librarians, they organize a total of 4 × 6 = 24 sections per day. Over 5 days, this amounts to 24 × 5 = 120 sections.
Total sections organized in a day = 4 × 6 = 24
Number of days = 5
24 × 5 = 120
Therefore, 120 sections will be organized after 5 days.
Problem 2
Amira, Jon, and Liam are setting up tables for a community event. They arrange the tables in groups corresponding to the first three multiples of 4. How many tables does each person set up?
Amira sets up 4 tables, Jon sets up 8 tables, and Liam sets up 12 tables.
Explanation
The first three multiples of 4 are 4, 8, and 12. Thus, Amira sets up 4 tables, Jon sets up 8 tables, and Liam sets up 12 tables.
4 × 1 = 4
4 × 2 = 8
4 × 3 = 12
Therefore, Amira sets up 4 tables, Jon 8, and Liam 12.
Problem 3
In a workshop, there are 4 stations. Each station can accommodate 4 participants. How many participants can be accommodated in total?
16 participants
Explanation
To find the total number of participants that can be accommodated, multiply the number of stations by the number of participants per station.
Number of stations = 4
Number of participants per station = 4
4 × 4 = 16
Therefore, 16 participants can be accommodated in total.
Problem 4
Lina is arranging her art supplies. She has 7 boxes, and each box contains 4 paintbrushes. How many paintbrushes does she have in total?
28 paintbrushes
Explanation
To find the total number of paintbrushes, multiply the number of boxes by the number of paintbrushes in each box.
Number of boxes = 7
Number of paintbrushes per box = 4
7 × 4 = 28
So, Lina has 28 paintbrushes in total.
Problem 5
Oliver is stacking chairs for a school event. The first row has 4 chairs, the second row has 8 chairs, and the third row has 12 chairs. How many chairs are there in total?
24 chairs
Explanation
Add the number of chairs in each row to find the total.
First row = 4 chairs
Second row = 8 chairs
Third row = 12 chairs
4 + 8 + 12 = 24
Therefore, there are 24 chairs in total.
FAQs on Multiples of 4
1.How do you find the multiples of 4?
2.What is the LCM of 3 and 4?
3.What are the real-life applications of Multiples of 4?
4.Are multiples of 4 finite or infinite?
5.Is there any odd multiple of 4?
Important Glossaries for Multiples of 4
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 4 include 4, 8, 12, 16, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 4 are the numbers that consist of the number pattern of 4.
- Even number: An even number refers to any number that can be divisible by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 4 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, and 4 are the divisors of 4.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by every number in a set. For example, the LCM of 3 and 4 is 12.
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Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
Fun Fact
: She has songs for each table which helps her to remember the tables
