Last updated on May 26th, 2025
In math, multiples are the products we get when 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 825.
Now, let us learn more about multiples of 825. Multiples of 825 are the numbers you get when you multiply 825 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 825 can be denoted as 825 × 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 825 × 1 will give us 825 as the product. Multiples of 825 will be larger or equal to 825.
Multiples of 825 include the products of 825 and an integer. Multiples of 825 are divisible by 825 evenly. The first few multiples of 825 are given below:
TABLE OF 825 (1-10) | |
---|---|
825 x 1 = 825 |
825 x 6 = 4950 |
825 x 2 = 1650 |
825 x 7 = 5775 |
825 x 3 = 2475 |
825 x 8 = 6600 |
825 x 4 = 3300 |
825 x 9 = 7425 |
825 x 5 = 4125 |
825 x 10 = 8250 |
TABLE OF 825 (11-20) | |
---|---|
825 x 11 = 9075 |
825 x 16 = 13200 |
825 x 12 = 9900 |
825 x 17 = 14025 |
825 x 13 = 10725 |
825 x 18 = 14850 |
825 x 14 = 11550 |
825 x 19 = 15675 |
825 x 15 = 12375 |
825 x 20 = 16500 |
Now, we know the first few multiples of 825. They are 0, 825, 1650, 2475, 3300, 4125, 4950, 5775, 6600, 7425, 8250,...
Understanding the multiples of 825 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 825, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
825, 1650, 2475, 3300, and 4125 are the first five multiples of 825. When multiplying 825 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
825 + 1650 + 2475 + 3300 + 4125 = 12,375
When we add the first 5 multiples of 825, the answer will be 12,375.
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 825, 1650, 2475, 3300, and 4125 are the first five multiples of 825. So, let us calculate it as given below:
825 - 1650 = -825
-825 - 2475 = -3300
-3300 - 3300 = -6600
-6600 - 4125 = -10,725
Hence, the result of subtracting the first 5 multiples of 825 is -10,725.
To calculate the average, we need to identify the sum of the first 5 multiples of 825, 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 825 is 12,375.
825 + 1650 + 2475 + 3300 + 4125 = 12,375
Next, divide the sum by 5:
12,375 ÷ 5 = 2475
2475 is the average of the first 5 multiples of 825.
While we perform division, we get to know how many times 825 can fit into each of the given multiples. 825, 1650, 2475, 3300, and 4125 are the first 5 multiples of 825.
825 ÷ 825 = 1
1650 ÷ 825 = 2
2475 ÷ 825 = 3
3300 ÷ 825 = 4
4125 ÷ 825 = 5
The results of dividing the first 5 multiples of 825 are: 1, 2, 3, 4, and 5.
While working with multiples of 825, 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:
A factory produces 825 gadgets every day. If the production remains constant, how many gadgets will the factory produce in a week?
5,775 gadgets
To find the total number of gadgets produced in a week, we multiply the daily production by the number of days in a week.
Gadgets produced each day = 825
Number of days in a week = 7
825 × 7 = 5,775
The factory will produce 5,775 gadgets in a week.
A concert hall has 825 seats arranged in rows. If each row contains the same number of seats and there are 3 rows, how many seats are there in each row?
275 seats
To find the number of seats in each row, we divide the total number of seats by the number of rows.
Total seats = 825
Number of rows = 3
825 ÷ 3 = 275
There are 275 seats in each row.
A charity organization receives donations in multiples of 825. If they received donations of 1,650, 2,475, and 3,300 units, how many times of 825 did they receive in total?
8 times
Each donation is a multiple of 825. We need to find how many times 825 goes into each donation amount and sum them up.
1,650 ÷ 825 = 2
2,475 ÷ 825 = 3
3,300 ÷ 825 = 4
Total multiples of 825 = 2 + 3 + 4 = 9
They received donations 9 times the unit of 825.
A printing company prints 825 pages per batch. If they complete 6 batches in a day, how many pages do they print in that day?
4,950 pages
To find the total number of pages printed in a day, we multiply the number of pages per batch by the number of batches.
Pages per batch = 825
Number of batches = 6
825 × 6 = 4,950
The company prints 4,950 pages in a day.
A shipping company loads 825 boxes into each container. If they fill 4 containers with boxes, how many boxes are loaded in total?
3,300 boxes
To find the total number of boxes loaded, we multiply the number of boxes per container by the number of containers.
Boxes per container = 825
Number of containers = 4
825 × 4 = 3,300
A total of 3,300 boxes are loaded into the containers.
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