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Last updated on May 26th, 2025

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Multiples of 35

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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 35.

Multiples of 35 for Vietnamese Students
Professor Greenline from BrightChamps

What are the Multiples of 35?

Now, let us learn more about multiples of 35. Multiples of 35 are the numbers you get when you multiply 35 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 35 can be denoted as 35 × 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 35 × 1 will give us 35 as the product. Multiples of 35 will be larger or equal to 35.Multiples of 35
 

Professor Greenline from BrightChamps

List of First 20 Multiples of 35

Multiples of 35 include the products of 35 and an integer. Multiples of 35 are divisible by 35 evenly. The first few multiples of 35 are given below:

 

TABLE OF 35 (1-10)

35 x 1 = 35

35 x 6 = 210

35 x 2 = 70

35 x 7 = 245

35 x 3 = 105

35 x 8 = 280

35 x 4 = 140

35 x 9 = 315

35 x 5 = 175

35 x 10 = 350

 

TABLE OF 35 (11-20)

35 x 11 = 385

35 x 16 = 560

35 x 12 = 420

35 x 17 = 595

35 x 13 = 455

35 x 18 = 630

35 x 14 = 490

35 x 19 = 665

35 x 15 = 525

35 x 20 = 700

 

Now, we know the first few multiples of 35. They are 0, 35, 70, 105, 140, 175, 210, 245, 280, 315, 350,...
 

Professor Greenline from BrightChamps

Operations with Multiples of 35

Understanding the multiples of 35 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 35, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 35:  


35, 70, 105, 140, and 175 are the first five multiples of 35. When multiplying 35 from 1 to 5 we get these numbers as the products.  


So, the sum of these multiples is:  


35 + 70 + 105 + 140 + 175 = 525  


When we add the first 5 multiples of 35 the answer will be 525.

 

Subtraction of first 5 Multiples of 35:  


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 35, 70, 105, 140, and 175 are the first five multiples of 35. So, let us calculate it as given below:  


35 - 70 = -35  
-35 - 105 = -140  
-140 - 140 = -280  
-280 - 175 = -455  


Hence, the result of subtracting the first 5 multiples of 35 is -455.

 

Average of first 5 Multiples of 35:  


To calculate the average, we need to identify the sum of the first 5 multiples of 35, and then divide it by the count, i.e., 5. Because there are 5 multiples 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 35 is 525.  


35 + 70 + 105 + 140 + 175 = 525  


Next, divide the sum by 5:  


525 ÷ 5 = 105  


105 is the average of the first 5 multiples of 35.

 

Product of First 5 Multiples of 35:  


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 35 include: 35, 70, 105, 140, and 175. Now, the product of these numbers is:  


35 × 70 × 105 × 140 × 175 = 45,185,250,000  


The product of the first 5 multiples of 35 is 45,185,250,000.

 

Division of First 5 Multiples of 35:  


While we perform division, we get to know how many times 35 can fit into each of the given multiples. 35, 70, 105, 140, and 175 are the first 5 multiples of 35.  


35 ÷ 35 = 1  
70 ÷ 35 = 2  
105 ÷ 35 = 3  
140 ÷ 35 = 4  
175 ÷ 35 = 5  


The results of dividing the first 5 multiples of 35 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 35

While working with multiples of 35, 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

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Confusing Multiples with Factors

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Sometimes, students get confused between the multiples and factors of 35. 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 35 refer to the products we get while multiplying 35 with other numbers. For example, multiples of 35 include 0, 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, ...  


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

 

Factors of 35:  


35 ÷ 1 = 35  
35 ÷ 5 = 7  
35 ÷ 7 = 5  
35 ÷ 35 = 1
 

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Multiples of 35 Examples

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Max, the Girl Character from BrightChamps

Problem 1

Emily is organizing a charity event where every participant donates a certain number of canned goods. Each participant donates 35 canned goods. If there are 6 participants, how many canned goods will be collected in total?

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210 canned goods

Explanation

Each participant donates 35 canned goods. To find the total number of canned goods collected, multiply the number of participants by the number of canned goods each donates.

 

Canned goods per participant = 35  


Number of participants = 6  

 

35 × 6 = 210  

 

Therefore, 210 canned goods will be collected in total.
 

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Max, the Girl Character from BrightChamps

Problem 2

In a cycling club, the members go on a ride every weekend. On each ride, they cover a distance that is a multiple of 35 kilometers. In the first three weekends, they cover the first three multiples of 35 kilometers. How many kilometers do they ride in total over these three weekends?

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210 kilometers

Explanation

The first three multiples of 35 are 35, 70, and 105. Add these distances to find the total.

 

35 × 1 = 35  
35 × 2 = 70  
35 × 3 = 105  

 

Total kilometers = 35 + 70 + 105 = 210  

 

Thus, they ride a total of 210 kilometers over the three weekends.
 

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Max, the Girl Character from BrightChamps

Problem 3

A farmer is planting trees in a grid. Each row has 35 trees, and there are 5 rows in total. How many trees does the farmer plant?

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175 trees 

Explanation

Multiply the number of rows by the number of trees in each row to find the total number of trees.

 

Number of rows = 5  


Trees per row = 35  

 

5 × 35 = 175  

 

Therefore, the farmer plants 175 trees.
 

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Max, the Girl Character from BrightChamps

Problem 4

In a manufacturing company, each worker assembles 35 gadgets per day. If there are 8 workers, how many gadgets are assembled in a day?

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280 gadgets

Explanation

Multiply the number of workers by the number of gadgets each assembles to find the total daily output.

 

Gadgets per worker = 35  


Number of workers = 8  

 

35 × 8 = 280  

 

Hence, 280 gadgets are assembled in a day.
 

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Max, the Girl Character from BrightChamps

Problem 5

A school is organizing an art competition. Each participant creates 35 pieces of artwork. If there are 4 participants, how many pieces of artwork are created in total?

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140 pieces of artwork

Explanation

Multiply the number of participants by the number of pieces each creates to find the total.

 

Artwork per participant = 35  


Number of participants = 4  

 

35 × 4 = 140

 

Thus, a total of 140 pieces of artwork are created.
 

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FAQs on Multiples of 35

1.How do you find the multiples of 35?

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2.What is the LCM of 7 and 35?

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3.What are the real-life applications of Multiples of 35?

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4.Are multiples of 35 finite or infinite?

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5.Is there any odd multiple of 35?

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Professor Greenline from BrightChamps

Important Glossaries for Multiples of 35

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 35 include 35, 70, 105, 140, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 35 are the numbers that consist of the number pattern of 35.
     
  • 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 35 are odd numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 5, 7, and 35 are the divisors of 35.
     
  • Least Common Multiple (LCM): LCM refers to the smallest positive integer that is a multiple of two or more numbers. For instance, the LCM of 7 and 35 is 35.
     
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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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