111 LearnersLast updated on May 26th, 2025
Multiples of 675
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 675.
What are the Multiples of 675?
Now, let us learn more about multiples of 675. Multiples of 675 are the numbers you get when you multiply 675 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 675 can be denoted as 675 × 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 675 × 1 will give us 675 as the product. Multiples of 675 will be larger or equal to 675.
List of First 20 Multiples of 675
Multiples of 675 include the products of 675 and an integer. Multiples of 675 are divisible by 675 evenly. The first few multiples of 675 are given below:
| TABLE OF 675 (1-10) | |
|---|---|
|
675 x 1 = 675 |
675 x 6 = 4050 |
|
675 x 2 = 1350 |
675 x 7 = 4725 |
|
675 x 3 = 2025 |
675 x 8 = 5400 |
|
675 x 4 = 2700 |
675 x 9 = 6075 |
|
675 x 5 = 3375 |
675 x 10 = 6750 |
| TABLE OF 675 (11-20) | |
|---|---|
|
675 x 11 = 7425 |
675 x 16 = 10800 |
|
675 x 12 = 8100 |
675 x 17 = 11475 |
|
675 x 13 = 8775 |
675 x 18 = 12150 |
|
675 x 14 = 9450 |
675 x 19 = 12825 |
|
675 x 15 = 10125 |
675 x 20 = 13500 |
Now, we know the first few multiples of 675. They are 0, 675, 1350, 2025, 2700, 3375, 4050, 4725, 5400, 6075, 6750,...
Operations with Multiples of 675
Understanding the multiples of 675 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 675, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 675:
675, 1350, 2025, 2700, and 3375 are the first five multiples of 675. When multiplying 675 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
675 + 1350 + 2025 + 2700 + 3375 = 10125
When we add the first 5 multiples of 675, the answer will be 10125.
Subtraction of First 5 Multiples of 675:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 675, 1350, 2025, 2700, and 3375 are the first five multiples of 675. So, let us calculate it as given below:
675 - 1350 = -675
-675 - 2025 = -2700
-2700 - 2700 = -5400
-5400 - 3375 = -8775
Hence, the result of subtracting the first 5 multiples of 675 is -8775.
Average of First 5 Multiples of 675:
To calculate the average, we need to identify the sum of the first 5 multiples of 675, and then divide it by the count, i.e., 5. Because 5 multiples are 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 675 is 10125.
675 + 1350 + 2025 + 2700 + 3375 = 10125
Next, divide the sum by 5:
10125 ÷ 5 = 2025
2025 is the average of the first 5 multiples of 675.
Product of First 5 Multiples of 675:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 675 include: 675, 1350, 2025, 2700, and 3375. Now, the product of these numbers is:
675 × 1350 × 2025 × 2700 × 3375 = 2,086,345,625,000,000
The product of the first 5 multiples of 675 is 2,086,345,625,000,000.
Division of First 5 Multiples of 675:
While we perform division, we get to know how many times 675 can fit into each of the given multiples. 675, 1350, 2025, 2700, and 3375 are the first 5 multiples of 675.
675 ÷ 675 = 1
1350 ÷ 675 = 2
2025 ÷ 675 = 3
2700 ÷ 675 = 4
3375 ÷ 675 = 5
The results of dividing the first 5 multiples of 675 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 675
While working with multiples of 675, 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 675. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number. Multiples of 675 refer to the products we get while multiplying 675 with other numbers. For example, multiples of 675 include 0, 675, 1350, 2025, 2700, 3375, 4050, 4725, 5400, 6075, 6750…
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. When 675 is divided by these numbers, the remainder will be zero. These are the factors of 675, meaning that these numbers can divide 675 without any remainder.
Factors of 675:
675 ÷ 1 = 675
675 ÷ 3 = 225
675 ÷ 5 = 135
675 ÷ 9 = 75
675 ÷ 675 = 1
Multiples of 675 Examples
Problem 1
Riya owns an art gallery, and she sells paintings in batches. Every batch she sells contains 675 paintings. Over the course of 6 months, she plans to sell a consistent number of batches each month. How many paintings will Riya have sold by the end of 6 months?
4,050 paintings
Explanation
Riya sells 675 paintings in each batch. To find the total number of paintings sold after 6 months, multiply the number of paintings per batch by the number of batches sold over 6 months.
Paintings per batch = 675
Number of months = 6
675 × 6 = 4,050
Riya will have sold 4,050 paintings by the end of 6 months.
Problem 2
During a festival, fireworks are launched in sequences that follow the first three multiples of 675. How many fireworks are launched in total during these three sequences?
4,050 fireworks
Explanation
The first three multiples of 675 are 675, 1,350, and 2,025. For each sequence, the number of fireworks corresponds to these multiples.
675 × 1 = 675
675 × 2 = 1,350
675 × 3 = 2,025
Total fireworks = 675 + 1,350 + 2,025 = 4,050
Therefore, 4,050 fireworks are launched in total.
Problem 3
A newly opened theater has 675 seats in each section. If there are 10 sections in the theater, how many seats are there in total?
6,750 seats
Explanation
To find the total number of seats in the theater, multiply the number of seats per section by the total number of sections.
Number of sections = 10
Number of seats per section = 675
675 × 10 = 6,750
Therefore, there are 6,750 seats in total in the theater.
Problem 4
A warehouse stores products in boxes. Each box contains 675 items. If the warehouse has 8 rows of boxes, with each row containing the same number of boxes, how many items are stored in total?
5,400 items
Explanation
To find the total number of items stored, multiply the number of boxes in each row by the number of items per box.
Number of rows = 8
Number of items per box = 675
8 × 675 = 5,400
So, there are 5,400 items stored in total in the warehouse.
Problem 5
At a charity fundraising event, donations are collected in increments of 675 dollars. The first day of the event raises 675 dollars, the second day raises 1,350 dollars, and the third day raises 2,025 dollars. What is the total amount raised over the three days?
4,050 dollars
Explanation
The donations follow the first three multiples of 675. Calculate the total raised:
675 + 1,350 + 2,025 = 4,050
Therefore, a total of 4,050 dollars is raised over the three days.
FAQs on Multiples of 675
1.How do you find the multiples of 675?
2.What is the LCM of 7 and 675?
3.What are the real-life applications of Multiples of 675?
4.Are multiples of 675 finite or infinite?
5.Is there any odd multiples of 675?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 675?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 675 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 675?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 675 among early learners in Vietnam?
Important Glossaries for Multiples of 675
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 675 include 675, 1350, 2025, 2700, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 675 are the numbers that consist of the number pattern of 675.
- Odd number: An odd number is any number that cannot be evenly divided by 2. Some multiples of 675 are odd.
- Divisor: A divisor is any number by which another number can be divided without leaving any remainder. 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, and 675 are the divisors of 675.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each of two or more numbers. In the context of 675, it can be used to find common multiples with other numbers.
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Seyed Ali Fathima S
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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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