100 LearnersLast updated on May 26th, 2025
Multiples of 735
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.
What are the 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.
List of First 20 Multiples of 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,...
Operations with Multiples of 735
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.
Sum of first 5 Multiples of 735:
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
Subtraction of first 5 Multiples of 735:
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.
Average of first 5 Multiples of 735:
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.
Product of 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
Division of First 5 Multiples of 735:
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.
Common Mistakes and How to Avoid Them in Multiples of 735
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:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 735. Multiples are the products of multiplication, while factors are the divisors of the number.
For example, multiples of 735 include 0, 735, 1470, 2205, 2940, 3675, 4410, 5145, 5880, 6615, 7350… The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735.
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Ensure a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 735, the result should still be a multiple of 735.
Mistake 4
Ignoring the Concept of Zero
Remember that zero is a multiple of every number. The very first multiple of 735, and any other number, is zero.
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy.
Multiples of 735 Examples
Problem 1
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
Explanation
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.
Problem 2
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
Explanation
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.
Problem 3
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
Explanation
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.
Problem 4
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
Explanation
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.
Problem 5
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
Explanation
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.
FAQs on Multiples of 735
1.How do you find the multiples of 735?
2.What is the LCM of 7 and 735?
3.What are the real-life applications of Multiples of 735?
4.Are multiples of 735 finite or infinite?
5.Is there any odd multiple of 735?
6.How can poems help children in Australia memorize the Multiplication Table and Multiples of 735?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 735 challenges for kids in Australia?
8.How do language and cultural differences in Australia affect the way children learn the Multiplication Table and Multiples of 735?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 735 among early learners in Australia?
Important Glossaries for Multiples of 735
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 735 include 735, 1470, 2205, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 735 are the numbers that consist of the number pattern of 735.
- Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 735 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, and 735 are the divisors of 735.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each number in a set of numbers.
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Seyed Ali Fathima S
About the Author
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.
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