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Last updated on March 28th, 2025

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Multiples of 675

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Foundation
Intermediate
Advance Topics

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.

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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.

multiples of 675
 

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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,...
 

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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.
 

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Common Mistakes and How to Avoid Them in Multiples of 675

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Multiples of 675 Examples

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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FAQs on Multiples of 675

1.How do you find the multiples of 675?

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2.What is the LCM of 7 and 675?

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3.What are the real-life applications of Multiples of 675?

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4.Are multiples of 675 finite or infinite?

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5.Is there any odd multiples of 675?

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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

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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Fun Fact

: She has songs for each table which helps her to remember the tables

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