Last updated on May 26th, 2025
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.
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 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, ...
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.
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.
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.
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.
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.
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.
While working with multiples of 490, 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:
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?
2,940 cookies
Each friend, including Lisa, bakes 490 cookies. To find the total number of cookies baked, multiply the number of people by the number of cookies each person bakes.
Cookies baked per person = 490
Number of people = 6 (Lisa + 5 friends)
490 × 6 = 2,940
They will have a total of 2,940 cookies.
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?
1,470 chairs
Each stage needs 490 chairs. To find the total number of chairs needed for all stages, multiply the number of stages by the number of chairs per stage.
Chairs per stage = 490
Number of stages = 3
490 × 3 = 1,470
Therefore, a total of 1,470 chairs are needed.
A factory produces 490 toys each day. How many toys will the factory produce in a week, assuming it operates every day?
3,430 toys
The factory produces 490 toys per day. To find the total production in a week, multiply the daily production by the number of days in a week.
Toys produced per day = 490
Number of days in a week = 7
490 × 7 = 3,430
The factory will produce 3,430 toys in a week.
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?
10 sets
To find how many complete sets of 490 books can be made, divide the total number of books by the number of books per set.
Total books = 4,900
Books per set = 490
4,900 ÷ 490 = 10
Therefore, 10 complete sets can be made.
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?
10 water stations
To find the number of water stations, divide the total length of the marathon by the distance between the stations.
Total length of the marathon = 4,900 meters
Distance between stations = 490 meters
4,900 ÷ 490 = 10
Therefore, there are 10 water stations along the marathon route.
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.
: She has songs for each table which helps her to remember the tables