Table Of Contents
Last updated on March 29th, 2025
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.
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 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,...
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.
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.
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.
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.
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.
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.
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:
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?
1,476 paintings
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.
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?
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.
369 × 1 = 369
369 × 2 = 738
369 × 3 = 1,107
Therefore, the concerts raised $369, $738, and $1,107 respectively.
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?
3,690 books
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.
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?
2,583 players
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
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?
1,845 widgets
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.