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Last updated on May 26th, 2025

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Multiples of 364

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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 364.

Multiples of 364 for Vietnamese Students
Professor Greenline from BrightChamps

What are the Multiples of 364?

Now, let us learn more about multiples of 364. Multiples of 364 are the numbers you get when you multiply 364 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 364 can be denoted as 364 × 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 364 × 1 will give us 364 as the product. Multiples of 364 will be larger or equal to 364.

multiples of 364

Professor Greenline from BrightChamps

List of First 20 Multiples of 364

Multiples of 364 include the products of 364 and an integer. Multiples of 364 are divisible by 364 evenly. The first few multiples of 364 are given below: 

 

TABLE OF 364 (1-10)

364 x 1 = 364

364 x 6 = 2184

364 x 2 = 728

364 x 7 = 2548

364 x 3 = 1092

364 x 8 = 2912

364 x 4 = 1456

364 x 9 = 3276

364 x 5 = 1820

364 x 10 = 3640

 

TABLE OF 364 (11-20)

364 x 11 = 4004

364 x 16 = 5824

364 x 12 = 4368

364 x 17 = 6188

364 x 13 = 4732

364 x 18 = 6552

364 x 14 = 5096

364 x 19 = 6916

364 x 15 = 5460

364 x 20 = 7280

 

Now, we know the first few multiples of 364. They are 0, 364, 728, 1,092, 1,456, 1,820, 2,184, 2,548, 2,912, 3,276, 3,640,...

Professor Greenline from BrightChamps

Sum of First 5 Multiples of 364

Understanding the multiples of 364 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 364, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 364

364, 728, 1,092, 1,456, and 1,820 are the first five multiples of 364. When multiplying 364 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:  
364 + 728 + 1,092 + 1,456 + 1,820 = 5,460  
When we add the first 5 multiples of 364, the answer will be 5,460. 

 

Subtraction of First 5 Multiples of 364

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 364, 728, 1,092, 1,456, and 1,820 are the first five multiples of 364. So, let us calculate it as given below:  
364 - 728 = -364  
-364 - 1,092 = -1,456  
-1,456 - 1,456 = -2,912  
-2,912 - 1,820 = -4,732  
Hence, the result of subtracting the first 5 multiples of 364 is -4,732.

 

Average of First 5 Multiples of 364

To calculate the average, we need to identify the sum of the first 5 multiples of 364, 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 364 is 5,460.  
364 + 728 + 1,092 + 1,456 + 1,820 = 5,460  
Next, divide the sum by 5:  
5,460 ÷ 5 = 1,092  
1,092 is the average of the first 5 multiples of 364.

 

Product of First 5 Multiples of 364

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 364 include: 364, 728, 1,092, 1,456, and 1,820. Now, the product of these numbers is:  
364 × 728 × 1,092 × 1,456 × 1,820 = 1,267,650,255,360  
The product of the first 5 multiples of 364 is 1,267,650,255,360.

 

Division of First 5 Multiples of 364

While we perform division, we get to know how many times 364 can fit into each of the given multiples. 364, 728, 1,092, 1,456, and 1,820 are the first 5 multiples of 364.  
364 ÷ 364 = 1  
728 ÷ 364 = 2  
1,092 ÷ 364 = 3  
1,456 ÷ 364 = 4  
1,820 ÷ 364 = 5  
The results of dividing the first 5 multiples of 364 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 364

While working with multiples of 364, 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 364. 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 364 refer to the products we get while multiplying 364 with other numbers. For example, multiples of 364 include 0, 364, 728, 1,092, 1,456, 1,820, 2,184, 2,548, 2,912, 3,276, 3,640….  

 

The factors of 364 are 1, 2, 4, 7, 13, 28, 52, 91, 182, and 364. When 364 is divided by these numbers, the remainder will be zero. These are the factors of 364 meaning that these numbers can divide 364 without any remainder.

Factors of 364:  
364 ÷ 1 = 364  
364 ÷ 2 = 182  
364 ÷ 4 = 91  
364 ÷ 7 = 52  
364 ÷ 13 = 28

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Multiples of 364 Examples

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Problem 1

In the town of Greenfield, there is a yearly tradition where 364 trees are planted along the main avenue each year. If this tradition continues for 5 years, how many trees will be planted in total?

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1820 trees

Explanation

Each year, 364 trees are planted. To find the total number of trees planted over 5 years, multiply the number of trees planted each year by the number of years.

Trees planted each year = 364  

Number of years = 5  

364 × 5 = 1820  

In total, 1820 trees will be planted over 5 years.

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Max, the Girl Character from BrightChamps

Problem 2

A charity organization donates 364 meals to a local shelter each week. If they continue this donation every week for 3 months, and each month is approximately 4 weeks, how many meals will they donate in total?

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4368 meals

Explanation

The charity donates 364 meals per week. To find the total meals donated over 3 months, first calculate the number of weeks in 3 months and then multiply by the number of meals donated each week.

Meals donated each week = 364  

Number of weeks in 3 months = 3 × 4 = 12  

364 × 12 = 4368  

Therefore, the charity will donate 4368 meals in total over 3 months.

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Max, the Girl Character from BrightChamps

Problem 3

During an art festival, each artist displays 364 pieces of art in the gallery. If there are 7 artists participating, how many art pieces are displayed in total?

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2548 art pieces

Explanation

Each artist displays 364 pieces. To find the total number of art pieces, multiply the number of artists by the number of pieces each artist displays.

Art pieces per artist = 364  

Number of artists = 7  

364 × 7 = 2548  

Thus, there are 2548 art pieces displayed in total at the festival.

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Max, the Girl Character from BrightChamps

Problem 4

A warehouse stores crates in stacks of 364. If there are 6 stacks, how many crates are there in total?

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2184 crates  

Explanation

Each stack contains 364 crates. To find the total number of crates, multiply the number of stacks by the number of crates in each stack.

Crates per stack = 364  

Number of stacks = 6  

364 × 6 = 2184  

As a result, there are 2184 crates stored in the warehouse.

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Max, the Girl Character from BrightChamps

Problem 5

At the annual book fair, a publishing house sells packages of books, each containing 364 books. If they sell 2 packages on the first day, 3 packages on the second day, and 4 packages on the third day, how many books do they sell in total?

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3276 books

Explanation

To find the total number of books sold, calculate the number of packages sold each day and multiply by the number of books per package, then sum the totals.

Books per package = 364  

Packages sold on the first day = 2  

Packages sold on the second day = 3  

Packages sold on the third day = 4  

(2 × 364) + (3 × 364) + (4 × 364) = 728 + 1092 + 1456 = 3276  

Therefore, they sell a total of 3276 books over three days.

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FAQs on Multiples of 364

1.How do you find the multiples of 364?To find out the multiples of 364, we need to multiply 364 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 364. Multiples of 364 will be larger or equal to 364. 364 × 1 = 364 364 × 2 = 728 364 × 3 = 1,092 364 × 4 = 1,456 364 × 5 = 1,820To find out the multiples of 364, we need to multiply 364 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 364. Multiples of 364 will be larger or equal to 364. 364 × 1 = 364 364 × 2 = 728 364 × 3 = 1,092 364 × 4 = 1,456 364 × 5 = 1,820

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2.What is the LCM of 364 and 13?

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3.What are the real-life applications of Multiples of 364?

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4.Are multiples of 364 finite or infinite?

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5.Is there any odd multiple of 364?

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6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 364?

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7.Can learning the Multiplication Table influence creativity in solving Multiples of 364 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 364?

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9.What role does brain development play in mastering the Multiplication Table and Multiples of 364 among early learners in Vietnam?

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Professor Greenline from BrightChamps

Professor Greenline from BrightChamps

Important Glossaries for Multiples of 364

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 364 include 364, 728, 1,092, 1,456, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 364 are the numbers that consist of the number pattern of 364.

 

  • 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 364 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 7, 13, 28, 52, 91, 182, and 364 are the divisors of 364.

 

  • Factor: A factor is a number that divides another number without leaving a remainder. Factors of 364 include 1, 2, 4, 7, 13, 28, 52, 91, 182, and 364.
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 364 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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