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Last updated on March 29th, 2025

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Multiples of 369

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Foundation
Intermediate
Advance Topics

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 369.

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What are the Multiples of 369?

Now, let us learn more about multiples of 369. Multiples of 369 are the numbers you get when you multiply 369 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 369 can be denoted as 369 × 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 369 × 1 will give us 369 as the product. Multiples of 369 will be larger or equal to 369.

multiples of 369
 

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List of First 20 Multiples of 369

Multiples of 369 include the products of 369 and an integer. Multiples of 369 are divisible by 369 evenly. The first few multiples of 369 are given below:
 

TABLE OF 369 (1-10)

369 x 1 = 369

369 x 6 = 2214

369 x 2 = 738

369 x 7 = 2583

369 x 3 = 1107

369 x 8 = 2952

369 x 4 = 1476

369 x 9 = 3321

369 x 5 = 1845

369 x 10 = 3690

 

TABLE OF 369 (11-20)

369 x 11 = 4059

369 x 16 = 5904

369 x 12 = 4428

369 x 17 = 6273

369 x 13 = 4797

369 x 18 = 6642

369 x 14 = 5166

369 x 19 = 7011

369 x 15 = 5535

369 x 20 = 7380

 

Now, we know the first few multiples of 369. They are 0, 369, 738, 1107, 1476, 1845, 2214, 2583, 2952, 3321, 3690,...

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Operations with Multiples of 369

Understanding the multiples of 369 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 369, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 369:

369, 738, 1107, 1476, and 1845 are the first five multiples of 369. When multiplying 369 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:
369 + 738 + 1107 + 1476 + 1845 = 5535

When we add the first 5 multiples of 369, the answer will be 5535.

 

Subtraction of First 5 Multiples of 369:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 369, 738, 1107, 1476, and 1845 are the first five multiples of 369. So, let us calculate it as given below:
369 - 738 = -369  
-369 - 1107 = -1476  
-1476 - 1476 = -2952  
-2952 - 1845 = -4797  

Hence, the result of subtracting the first 5 multiples of 369 is -4797.

 

Average of First 5 Multiples of 369:

To calculate the average, we need to identify the sum of the first 5 multiples of 369, 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 369 is 5535.

369 + 738 + 1107 + 1476 + 1845 = 5535

Next, divide the sum by 5:
5535 ÷ 5 = 1107

1107 is the average of the first 5 multiples of 369.

 

Product of First 5 Multiples of 369:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 369 include: 369, 738, 1107, 1476, and 1845. Now, the product of these numbers is:
369 × 738 × 1107 × 1476 × 1845 = 823,211,662,870

The product of the first 5 multiples of 369 is 823,211,662,870.

 

Division of First 5 Multiples of 369:

While we perform division, we get to know how many times 369 can fit into each of the given multiples. 369, 738, 1107, 1476, and 1845 are the first 5 multiples of 369.
369 ÷ 369 = 1  
738 ÷ 369 = 2  
1107 ÷ 369 = 3  
1476 ÷ 369 = 4  
1845 ÷ 369 = 5  

The results of dividing the first 5 multiples of 369 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 369

While working with multiples of 369, 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 369. 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 369 refer to the products we get while multiplying 369 with other numbers. For example, multiples of 369 include 0, 369, 738, 1107, 1476, 1845, 2214, 2583, 2952, 3321, 3690….
The factors of 369 are 1, 3, 123, and 369. When 369 is divided by these numbers, the remainder will be zero.

Factors of 369:
369 ÷ 1 = 369  
369 ÷ 3 = 123  
369 ÷ 123 = 3  
369 ÷ 369 = 1 

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Multiples of 369 Examples

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Problem 1

In a large art gallery, each section displays a set of paintings in multiples of 369. If the gallery adds one new section every 3 months, how many paintings will be displayed in total after a year?

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1,476 paintings

Explanation

Each section displays 369 paintings. Over a year (12 months), 4 new sections are added. To find the total number of paintings, multiply the number of sections by the paintings per section.

Paintings per section = 369  

Number of sections after a year = 4

369 × 4 = 1,476

The gallery will have 1,476 paintings after a year.

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Problem 2

Three friends decide to host a series of charity concerts. Each concert collects donations in multiples of 369 dollars. If the first concert raises $369, the second $738, and the third $1,107, how much money did each concert raise?

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The first concert raised $369, the second $738, and the third $1,107.  
Explanation: To find the donation amounts, we identify the first three multiples of 369.
 

Explanation

369 × 1 = 369  
369 × 2 = 738  
369 × 3 = 1,107

Therefore, the concerts raised $369, $738, and $1,107 respectively.

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Problem 3

A new library has shelves that can each hold 369 books. If there are 10 shelves in the library, how many books can the library hold in total?

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3,690 books

Explanation

To find the total book capacity, multiply the number of shelves by the books each shelf can hold.

Number of shelves = 10  

Books per shelf = 369

10 × 369 = 3,690

The library can hold a total of 3,690 books.

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Problem 4

In a sports tournament, teams are formed with players in multiples of 369. Each team consists of 369 players. If there are 7 teams, how many players are there in total?

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2,583 players  
 

Explanation

Multiply the number of teams by the number of players per team to find the total number of players.

Number of teams = 7  

Players per team = 369

7 × 369 = 2,583

Thus, there are a total of 2,583 players in the tournament

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Problem 5

A factory produces batches of widgets, each batch containing 369 widgets. Over the course of a week, the factory produces 5 batches. How many widgets does the factory produce in total during the week?

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1,845 widgets

Explanation

Multiply the number of batches by the widgets per batch to get the total production.

Number of batches = 5  

Widgets per batch = 369

5 × 369 = 1,845

The factory produces a total of 1,845 widgets in a week.

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FAQs on Multiples of 369

1.How do you find the multiples of 369?

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2.What is the LCM of 7 and 369?

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3.What are the real-life applications of Multiples of 369?

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4.Are multiples of 369 finite or infinite?

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5.Is there any odd multiple of 369?

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Important Glossaries for Multiples of 369

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 369 include 369, 738, 1107, 1476, etc.  

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 369 are the numbers that consist of the number pattern of 369.  

 

  • Odd number: An odd number is any number not divisible by 2. Multiples of 369 like 369, 1107, 1845 are odd numbers.  

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 123, and 369 are the divisors of 369.  

 

  • Factor: A factor is a number that divides another number completely without leaving a remainder. Factors of 369 include 1, 3, 123, and 369.
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