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Last updated on February 11th, 2025

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Multiples of 35

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Foundation
Intermediate
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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.

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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
 

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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,...
 

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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

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Multiples of 35 Examples

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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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Explanation

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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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Explanation

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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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Explanation

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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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Explanation

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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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Explanation

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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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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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Fun Fact

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

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