Last updated on May 26th, 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 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 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,...
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.
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.
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.
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.
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.
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.
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:
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?
1820 trees
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.
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?
4368 meals
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.
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?
2548 art pieces
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.
A warehouse stores crates in stacks of 364. If there are 6 stacks, how many crates are there in total?
2184 crates
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.
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?
3276 books
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.
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.
: She has songs for each table which helps her to remember the tables