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Last updated on May 26th, 2025

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Multiples of 361

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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 361.

Multiples of 361 for Vietnamese Students
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What are the Multiples of 361?

Now, let us learn more about multiples of 361. Multiples of 361 are the numbers you get when you multiply 361 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 361 can be denoted as 361 × 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 361 × 1 will give us 361 as the product. Multiples of 361 will be larger or equal to 361.multiples of 361

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List of First 20 Multiples of 361

Multiples of 361 include the products of 361 and an integer. Multiples of 361 are divisible by 361 evenly. The first few multiples of 361 are given below:

 

TABLE OF 361 (1-10)

361 x 1 = 361

361 x 6 = 2166

361 x 2 = 722

361 x 7 = 2527

361 x 3 = 1083

361 x 8 = 2888

361 x 4 = 1444

361 x 9 = 3249

361 x 5 = 1805

361 x 10 = 3610

 

TABLE OF 361 (11-20)

361 x 11 = 3971

361 x 16 = 5776

361 x 12 = 4332

361 x 17 = 6137

361 x 13 = 4693

361 x 18 = 6498

361 x 14 = 5054

361 x 19 = 6859

361 x 15 = 5415

361 x 20 = 7220

 

Now, we know the first few multiples of 361. They are 0, 361, 722, 1083, 1444, 1805, 2166, 2527, 2888, 3249, 3610,...

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Operations with Multiples of 361

Understanding the multiples of 361 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 361, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 361:

 

361, 722, 1083, 1444, and 1805 are the first five multiples of 361. When multiplying 361 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:


361 + 722 + 1083 + 1444 + 1805 = 5415


When we add the first 5 multiples of 361, the answer will be 5415.  

 

Subtraction of first 5 Multiples of 361:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 361, 722, 1083, 1444, and 1805 are the first five multiples of 361. So, let us calculate it as given below:


361 - 722 = -361  
-361 - 1083 = -1444  
-1444 - 1444 = -2888  
-2888 - 1805 = -4693  


Hence, the result of subtracting the first 5 multiples of 361 is -4693.

 

Average of first 5 Multiples of 361:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 361, 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 361 is 5415.


361 + 722 + 1083 + 1444 + 1805 = 5415  


Next, divide the sum by 5:


5415 ÷ 5 = 1083


1083 is the average of the first 5 multiples of 361.

 

Product of First 5 Multiples of 361:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 361 include: 361, 722, 1083, 1444, and 1805. Now, the product of these numbers is:


361 × 722 × 1083 × 1444 × 1805 = 1,622,550,950,580


The product of the first 5 multiples of 361 is 1,622,550,950,580.

 

Division of First 5 Multiples of 361:

 

While we perform division, we get to know how many times 361 can fit into each of the given multiples. 361, 722, 1083, 1444, and 1805 are the first 5 multiples of 361.


361 ÷ 361 = 1  
722 ÷ 361 = 2  
1083 ÷ 361 = 3  
1444 ÷ 361 = 4  
1805 ÷ 361 = 5    


The results of dividing the first 5 multiples of 361 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 361

While working with Multiples of 361, 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

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Confusing Multiples with Factors

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Sometimes, students get confused between the multiples and factors of 361. 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 361 refer to the products we get while multiplying 361 with other numbers. For example, multiples of 361 include 0, 361, 722, 1083, 1444, 1805, 2166, 2527, 2888, 3249, 3610….


The factors of 361 are 1, 19, and 361. When 361 is divided by these numbers, the remainder will be zero. These are the factors of 361, meaning that these numbers can divide 361 without any remainder.

 

Factors of 361:


361 ÷ 1 = 361  
361 ÷ 19 = 19  
361 ÷ 361 = 1 

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Multiples of 361 Examples

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Max, the Girl Character from BrightChamps

Problem 1

Anna is an art enthusiast who collects canvases for her paintings. She buys 361 canvases every month for her new art project. If she continues buying the same number of canvases each month, how many canvases will she have after 3 months?

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1,083 canvases

Explanation

Anna buys 361 canvases each month. To find the total number of canvases after 3 months, multiply the monthly purchase by the number of months.

 

Canvases bought each month = 361  
Number of months = 3  

 

361 × 3 = 1,083

 

Anna will have 1,083 canvases after 3 months.

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Max, the Girl Character from BrightChamps

Problem 2

In a music festival, three bands perform in sequences corresponding to the first three multiples of 361 minutes. How long does each band perform?

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The first three multiples of 361 are 361, 722, and 1,083 minutes. The first band performs for 361 minutes, the second for 722 minutes, and the third for 1,083 minutes.

Explanation

Identify the first three multiples of 361:

 

361 × 1 = 361  
361 × 2 = 722  
361 × 3 = 1,083  

 

Thus, the first band performs for 361 minutes, the second for 722 minutes, and the third band for 1,083 minutes.

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Problem 3

A library has 361 different authors, and each author contributes 361 books. How many books are there in total in the library?

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130,321 books

Explanation

To find the total number of books, multiply the number of authors by the number of books each author contributes.

 

Number of authors = 361  

Number of books per author = 361

361 × 361 = 130,321

Therefore, there are 130,321 books in the library.

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Max, the Girl Character from BrightChamps

Problem 4

Tom is creating a mosaic mural. He arranges tiles in a pattern of 361 tiles per row. If he arranges 5 rows, how many tiles does he use in total?

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1,805 tiles

Explanation

To find the total number of tiles, multiply the number of rows by the number of tiles per row.

 

Number of rows = 5  

Number of tiles per row = 361  

5 × 361 = 1,805

So, Tom uses 1,805 tiles in total for the mural.

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Max, the Girl Character from BrightChamps

Problem 5

Sarah is organizing a marathon event. There are 361 runners in the first event, 722 runners in the second event, and 1,083 runners in the third event. How many runners participate in all three events combined?

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2,166 runners 

Explanation

Add the number of runners from each event to find the total number of participants.

 

First event = 361 runners  

Second event = 722 runners  

Third event = 1,083 runners  

361 + 722 + 1,083 = 2,166

Therefore, a total of 2,166 runners participate in all three events.

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FAQs on Multiples of 361

1.How do you find the multiples of 361?

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2.What is the LCM of 19 and 361?

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3.What are the real-life applications of Multiples of 361?

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4.Are multiples of 361 finite or infinite?

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5.Is there any odd multiples of 361?

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6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 361?

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7.Can learning the Multiplication Table influence creativity in solving Multiples of 361 challenges for kids in Vietnam?

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8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 361?

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9.What role does brain development play in mastering the Multiplication Table and Multiples of 361 among early learners in Vietnam?

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Professor Greenline from BrightChamps

Important Glossaries for Multiples of 361

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 361 include 361, 722, 1083, 1444, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 361 are the numbers that consist of the number pattern of 361.
     
  • Odd number: An odd number is a number that is not divisible by 2 without leaving a remainder. The multiples of 361 can be odd or even depending on the multiplier.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 19, and 361 are the divisors of 361.
     
  • Infinite: Infinite refers to the unending nature of numbers. Multiples of 361 are infinite, as they continue indefinitely.
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, multiplication tables are much more than just figures—they open up a world of possibilities! We aim to help children across Vietnam grasp crucial math concepts, focusing today on the Multiples of 361 with a special focus on multiples—in a way that’s engaging, fun, and easy to understand. Whether your child is measuring the speed of a roller coaster at Suoi Tien Theme Park, following scores at a local football game, or managing their allowance for the latest gadgets, mastering multiplication tables helps build their confidence for everyday tasks. Our interactive lessons make learning both simple and enjoyable. Since kids in Vietnam learn in many different ways, we tailor our approach to suit each child’s style. From Ho Chi Minh City’s bustling streets to the scenic Ha Long Bay, BrightChamps makes math come alive, making it exciting throughout Vietnam. Let’s make multiples a fun and integral part of every child’s math journey!
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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.

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Max, the Girl Character from BrightChamps

Fun Fact

: She has songs for each table which helps her to remember the tables

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