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Last updated on March 28th, 2025

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Multiples of 490

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Foundation
Intermediate
Advance Topics

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 490.

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What are the Multiples of 490?

Now, let us learn more about multiples of 490. Multiples of 490 are the numbers you get when you multiply 490 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 490 can be denoted as 490 × 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 490 × 1 will give us 490 as the product.

 

Multiples of 490 will be larger or equal to 490.

multiples of 490

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List of First 20 Multiples of 490

Multiples of 490 include the products of 490 and an integer. Multiples of 490 are divisible by 490 evenly. The first few multiples of 490 are given below: 

 

TABLE OF 490 (1-10)

490 x 1 = 490

490 x 6 = 2940

490 x 2 = 980

490 x 7 = 3430

490 x 3 = 1470

490 x 8 = 3920

490 x 4 = 1960

490 x 9 = 4410

490 x 5 = 2450

490 x 10 = 4900

 

 

TABLE OF 490 (11-20)

490 x 11 = 5390

490 x 16 = 7840

490 x 12 = 5880

490 x 17 = 8330

490 x 13 = 6370

490 x 18 = 8820

490 x 14 = 6860

490 x 19 = 9310

490 x 15 = 7350

490 x 20 = 9800

 

Now, we know the first few multiples of 490. They are 0, 490, 980, 1470, 1960, 2450, 2940, 3430, 3920, 4410, 4900, ...
 

 

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Operations with Multiples of 490

Understanding the multiples of 490 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 490, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 490

 

490, 980, 1470, 1960, and 2450 are the first five multiples of 490. When multiplying 490 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:


490 + 980 + 1470 + 1960 + 2450 = 7350  


When we add the first 5 multiples of 490, the answer will be 7350.  

 

Subtraction of First 5 Multiples of 490

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 490, 980, 1470, 1960, and 2450 are the first five multiples of 490. So, let us calculate it as given below:


490 - 980 = -490  
-490 - 1470 = -1960  
-1960 - 1960 = -3920  
-3920 - 2450 = -6370  


Hence, the result of subtracting the first 5 multiples of 490 is -6370.

 

Average of First 5 Multiples of 490

 

To calculate the average, we need to identify the sum of the first 5 multiples of 490, and then divide it by the count, i.e., 5. Because there are 5 multiples present 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 490 is 7350.  


490 + 980 + 1470 + 1960 + 2450 = 7350  


Next, divide the sum by 5:  


7350 ÷ 5 = 1470  


1470 is the average of the first 5 multiples of 490.

 

Product of First 5 Multiples of 490

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 490 include: 490, 980, 1470, 1960, and 2450. Now, the product of these numbers is:  


490 × 980 × 1470 × 1960 × 2450 = 5,762,256,720,000,000  


The product of the first 5 multiples of 490 is 5,762,256,720,000,000.

 

Division of First 5 Multiples of 490

 

While we perform division, we get to know how many times 490 can fit into each of the given multiples. 490, 980, 1470, 1960, and 2450 are the first 5 multiples of 490.  


490 ÷ 490 = 1  
980 ÷ 490 = 2  
1470 ÷ 490 = 3  
1960 ÷ 490 = 4  
2450 ÷ 490 = 5  


The results of dividing the first 5 multiples of 490 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 490

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Multiples of 490 Examples

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Problem 1

Lisa is organizing a charity bake sale. She bakes 490 cookies, and each of her friends also bakes 490 cookies. If 5 friends help her bake cookies, how many cookies will they have in total?

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Explanation

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Problem 2

In a cultural festival, there are stages set up for performances. Each stage requires exactly 490 chairs for the audience. If there are 3 stages, how many chairs are needed in total?

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Explanation

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Problem 3

A factory produces 490 toys each day. How many toys will the factory produce in a week, assuming it operates every day?

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Explanation

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Problem 4

A library is arranging its books in sets of 490. If the library has a total of 4,900 books, how many complete sets can be made?

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Explanation

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Problem 5

During a marathon, water stations are set up every 490 meters along the route. If the marathon is 4,900 meters long, how many water stations are there in total?

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Explanation

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FAQs on Multiples of 490

1.How do you find the multiples of 490?

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2.What is the LCM of 7 and 490?

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3.What are the real-life applications of multiples of 490?

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4.Are multiples of 490 finite or infinite?

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5.Is there any odd multiple of 490?

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Important Glossaries for Multiples of 490

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 490 include 490, 980, 1470, 1960, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 490 are the numbers that consist of the number pattern of 490.

 

  • Even number: An even number refers to any number that can be divisible by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 490 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, and 490 are the divisors of 490.

 

  • Least Common Multiple (LCM): The smallest common multiple of two or more numbers. For example, the LCM of 7 and 490 is 490.
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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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