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 735.
Now, let us learn more about multiples of 735. Multiples of 735 are the numbers you get when you multiply 735 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 735 can be denoted as 735 × 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 735 × 1 will give us 735 as the product.
Multiples of 735 will be larger or equal to 735.
Multiples of 735 include the products of 735 and an integer. Multiples of 735 are divisible by 735 evenly. The first few multiples of 735 are given below:
TABLE OF 735 (1-10) | |
---|---|
735 × 1 = 735 |
735 × 6 = 4410 |
735 × 2 = 1470 |
735 × 7 = 5145 |
735 × 3 = 2205 |
735 × 8 = 5880 |
735 × 4 = 2940 |
735 × 9 = 6615 |
735 × 5 = 3675 |
735 × 10 = 7350 |
TABLE OF 735 (11-20) | |
---|---|
735 × 11 = 8085 |
735 × 16 = 11760 |
735 × 12 = 8820 |
735 × 17 = 12595 |
735 × 13 = 9555 |
735 × 18 = 13230 |
735 × 14 = 10290 |
735 × 19 = 13965 |
735 × 15 = 11025 |
735 × 20 = 14700 |
Now, we know the first few multiples of 735. They are 0, 735, 1470, 2205, 2940, 3675, 4410, 5145, 5880, 6615, 7350,...
Understanding the multiples of 735 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 735, we apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
735, 1470, 2205, 2940, and 3675 are the first five multiples of 735. When multiplying 735 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
735 + 1470 + 2205 + 2940 + 3675 = 11025
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. Let us calculate it as given below:
735 - 1470 = -735
-735 - 2205 = -2940
-2940 - 2940 = -5880
-5880 - 3675 = -9555
Hence, the result of subtracting the first 5 multiples of 735 is -9555.
To calculate the average, we need to identify the sum of the first 5 multiples of 735, then divide it by the count, i.e., 5. The sum is 11025.
Next, divide the sum by 5:
11025 ÷ 5 = 2205
2205 is the average of the first 5 multiples of 735.
The product of given numbers is the result of multiplying all of them together.
735 × 1470 × 2205 × 2940 × 3675 = 857,661,937,500,000
While we perform division, we understand how many times 735 can fit into each of the given multiples.
735 ÷ 735 = 1
1470 ÷ 735 = 2
2205 ÷ 735 = 3
2940 ÷ 735 = 4
3675 ÷ 735 = 5
The results of dividing the first 5 multiples of 735 are: 1, 2, 3, 4, and 5.
While working with multiples of 735, 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 company produces batches of high-quality paper. Each batch contains 735 sheets of paper. If they produce 735 batches each year, how many sheets of paper will they produce in two years?
1,080,150 sheets
To find the total number of sheets produced in two years, multiply the number of sheets in one batch by the number of batches produced each year and then by the number of years.
Sheets per batch = 735
Batches per year = 735
Number of years = 2
735 × 735 × 2 = 1,080,150
Therefore, they will produce 1,080,150 sheets of paper in two years.
A large concert hall has rows of seats. Each row contains 735 seats. If the first row is filled, how many people can be seated if the first three rows are filled, assuming all seats are taken?
2,205 people
To find the total number of people that can be seated, multiply the number of seats per row by the number of rows.
Seats per row = 735
Number of rows = 3
735 × 3 = 2,205
Therefore, 2,205 people can be seated in the first three rows.
An artist is creating a mosaic using tiles. Each mosaic requires 735 tiles. If she plans to create 10 mosaics, how many tiles does she need in total?
7,350 tiles
To find the total number of tiles needed, multiply the number of tiles per mosaic by the number of mosaics.
Tiles per mosaic = 735
Number of mosaics = 10
735 × 10 = 7,350
Therefore, the artist needs 7,350 tiles in total.
A train has carriages that can each hold 735 passengers. If there are 5 carriages, how many passengers can the train hold in total?
3,675 passengers
To find the total passenger capacity, multiply the number of passengers per carriage by the number of carriages.
Passengers per carriage = 735
Number of carriages = 5
735 × 5 = 3,675
Therefore, the train can hold 3,675 passengers in total.
A library receives sets of books, with each set containing 735 books. If they receive 4 sets, how many books will the library have?
2,940 books
To find the total number of books, multiply the number of books per set by the number of sets.
Books per set = 735
Number of sets = 4
735 × 4 = 2,940
Therefore, the library will have 2,940 books.
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