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Last updated on May 26th, 2025

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Multiples of 175

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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 175.

Multiples of 175 for Vietnamese Students
Professor Greenline from BrightChamps

What are the Multiples of 175?

Now, let us learn more about multiples of 175. Multiples of 175 are the numbers you get when you multiply 175 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 175 can be denoted as 175 × 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 175 × 1 will give us 175 as the product. Multiples of 175 will be larger or equal to 175.multiples of 175

Professor Greenline from BrightChamps

List of First 20 Multiples of 175

Multiples of 175 include the products of 175 and an integer. Multiples of 175 are divisible by 175 evenly. The first few multiples of 175 are given below:


 

TABLE OF 175 (1-10)

175 x 1 = 175

175 x 6 = 1050

175 x 2 = 350

175 x 7 = 1225

175 x 3 = 525

175 x 8 = 1400

175 x 4 = 700

175 x 9 = 1575

175 x 5 = 875

175 x 10 = 1750

 

TABLE OF 175 (11-20)

175 x 11 = 1925

175 x 16 = 2800

175 x 12 = 2100

175 x 17 = 2975

175 x 13 = 2275

175 x 18 = 3150

175 x 14 = 2450

175 x 19 = 3325

175 x 15 = 2625

175 x 20 = 3500

 

Now, we know the first few multiples of 175. They are 0, 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750,...
 

Professor Greenline from BrightChamps

Operations with Multiples of 175

Understanding the multiples of 175 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 175, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 Multiples of 175:

175, 350, 525, 700, and 875 are the first five multiples of 175. When multiplying 175 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:  
175 + 350 + 525 + 700 + 875 = 2625

When we add the first 5 multiples of 175, the answer will be 2625.

Subtraction of first 5 Multiples of 175:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 175, 350, 525, 700, and 875 are the first five multiples of 175. So, let us calculate it as given below:

175 - 350 = -175  
-175 - 525 = -700  
-700 - 700 = -1400  
-1400 - 875 = -2275  

Hence, the result of subtracting the first 5 multiples of 175 is -2275.

Average of first 5 Multiples of 175:

To calculate the average, we need to identify the sum of the first 5 multiples of 175, and then divide it by the count, i.e., 5. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 175 is 2625.

175 + 350 + 525 + 700 + 875 = 2625  
Next, divide the sum by 5:  
2625 ÷ 5 = 525  
525 is the average of the first 5 multiples of 175.

Product of First 5 Multiples of 175:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 175 include: 175, 350, 525, 700, and 875. Now, the product of these numbers is:  
175 × 350 × 525 × 700 × 875 = 20,706,250,000,000  

The product of the first 5 multiples of 175 is 20,706,250,000,000.

Division of First 5 Multiples of 175:

While we perform division, we get to know how many times 175 can fit into each of the given multiples. 175, 350, 525, 700, and 875 are the first 5 multiples of 175.

175 ÷ 175 = 1  
350 ÷ 175 = 2  
525 ÷ 175 = 3  
700 ÷ 175 = 4  
875 ÷ 175 = 5  

The results of dividing the first 5 multiples of 175 are: 1, 2, 3, 4, and 5.
 

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Multiples of 175


While working with multiples of 175, 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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Confusing Multiples with Factors  
 

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 Sometimes, students get confused between the multiples and factors of 175. 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 175 refer to the products we get while multiplying 175 with other numbers. For example, multiples of 175 include 0, 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750,…

   The factors of 175 are 1, 5, 7, 25, 35, and 175. When 175 is divided by these numbers, the remainder will be zero. These are the factors of 175, meaning that these numbers can divide 175 without any remainder.

   Factors of 175:  
   175 ÷ 1 = 175  
   175 ÷ 5 = 35  
   175 ÷ 7 = 25  
   175 ÷ 25 = 7  
   175 ÷ 35 = 5  
   175 ÷ 175 = 1  
 

Max from BrightChamps Saying "Hey"

Multiples of 175 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Emily is planning a series of art workshops. Each workshop requires 175 sheets of paper. If she conducts 5 workshops, how many sheets of paper will she need in total?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

 875 sheets of paper 

Explanation

Each workshop uses 175 sheets. To find the total number of sheets needed for 5 workshops, multiply 175 by 5.

Sheets per workshop = 175  
Number of workshops = 5  

175 × 5 = 875  

Emily will need 875 sheets of paper for all 5 workshops.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A farmer is planting trees in a large orchard. He plants the trees in rows, with 175 trees per row. If he has enough space for 3 complete rows, how many trees will be planted in total?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

 525 trees  
 

Explanation

To find the total number of trees, multiply the number of trees per row by the number of rows.

Trees per row = 175  
Number of rows = 3  

175 × 3 = 525  

The farmer will plant a total of 525 trees.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

In a factory, machines produce 175 widgets per hour. If the factory operates for 6 hours, how many widgets will be produced?

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1050 widgets  
 

Explanation

Multiply the number of widgets produced per hour by the number of operating hours.

Widgets per hour = 175  
Operating hours = 6  

175 × 6 = 1050  

The factory will produce 1050 widgets in 6 hours.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

A travel company offers a bus service that can accommodate 175 passengers per trip. If they run 8 trips in a day, how many passengers can they transport in total?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

 1400 passengers  
 

Explanation

Multiply the number of passengers per trip by the number of trips.

Passengers per trip = 175  
Number of trips = 8  

175 × 8 = 1400  

The travel company can transport 1400 passengers in one day.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

A library has a system where each section holds 175 books. If there are 4 sections dedicated to fiction books, how many fiction books does the library have in total?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

 To find the total number of fiction books, multiply the number of books per section by the number of sections.

Books per section = 175  
Number of sections = 4  

175 × 4 = 700  

The library has 700 fiction books in total.
 

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Multiples of 175

1.How do you find the multiples of 175?

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2.What is the LCM of 7 and 175?

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3.What are the real-life applications of Multiples of 175?  

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4.Are multiples of 175 finite or infinite?

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5.Is there any odd multiple of 175?

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6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 175?

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7.Can learning the Multiplication Table influence creativity in solving Multiples of 175 challenges for kids in Vietnam?

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8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 175?

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9.What role does brain development play in mastering the Multiplication Table and Multiples of 175 among early learners in Vietnam?

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Professor Greenline from BrightChamps

Important Glossaries for Multiples of 175

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 175 include 175, 350, 525, 700, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 175 are the numbers that consist of the number pattern of 175.

     
  • Odd number: An odd number refers to any number that cannot be evenly divided by 2. Unlike the multiples of even numbers, multiples of odd numbers can be odd.

     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 5, 7, 25, 35, and 175 are the divisors of 175.

     
  • LCM (Least Common Multiple): LCM is the smallest number that is a multiple of two or more numbers. For example, the LCM of 7 and 175 is 175.
     
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, multiplication tables are much more than just figures—they open up a world of possibilities! We aim to help children across Vietnam grasp crucial math concepts, focusing today on the Multiples of 175 with a special focus on multiples—in a way that’s engaging, fun, and easy to understand. Whether your child is measuring the speed of a roller coaster at Suoi Tien Theme Park, following scores at a local football game, or managing their allowance for the latest gadgets, mastering multiplication tables helps build their confidence for everyday tasks. Our interactive lessons make learning both simple and enjoyable. Since kids in Vietnam learn in many different ways, we tailor our approach to suit each child’s style. From Ho Chi Minh City’s bustling streets to the scenic Ha Long Bay, BrightChamps makes math come alive, making it exciting throughout Vietnam. Let’s make multiples a fun and integral part of every child’s math journey!
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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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Max, the Girl Character from BrightChamps

Fun Fact

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

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