114 LearnersLast updated on May 26th, 2025
Multiples of 484
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 484.
What are the Multiples of 484?
Now, let us learn more about multiples of 484. Multiples of 484 are the numbers you get when you multiply 484 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 484 can be denoted as 484 × 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 484 × 1 will give us 484 as the product. Multiples of 484 will be larger or equal to 484.
List of First 20 Multiples of 484
Multiples of 484 include the products of 484 and an integer. Multiples of 484 are divisible by 484 evenly. The first few multiples of 484 are given below:
| TABLE OF 484 (1-10) | |
|---|---|
|
484 x 1 = 484 |
484 x 6 = 2904 |
|
484 x 2 = 968 |
484 x 7 = 3388 |
|
484 x 3 = 1452 |
484 x 8 = 3872 |
|
484 x 4 = 1936 |
484 x 9 = 4356 |
|
484 x 5 = 2420 |
484 x 10 = 4840 |
| TABLE OF 484 (11-20) | |
|---|---|
|
484 x 11 = 5324 |
484 x 16 = 7744 |
|
484 x 12 = 5808 |
484 x 17 = 8228 |
|
484 x 13 = 6292 |
484 x 18 = 8712 |
|
484 x 14 = 6776 |
484 x 19 = 9196 |
|
484 x 15 = 7260 |
484 x 20 = 9680 |
Now, we know the first few multiples of 484. They are 0, 484, 968, 1452, 1936, 2420, 2904, 3388, 3872, 4356, 4840,...
Operations with Multiples of 484
Understanding the multiples of 484 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 484, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 484:
484, 968, 1452, 1936, and 2420 are the first five multiples of 484. When multiplying 484 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
484 + 968 + 1452 + 1936 + 2420 = 7260
When we add the first 5 multiples of 484, the answer will be 7260.
Subtraction of First 5 Multiples of 484:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 484, 968, 1452, 1936, and 2420 are the first five multiples of 484. So, let us calculate it as given below:
484 - 968 = -484
-484 - 1452 = -1936
-1936 - 1936 = -3872
-3872 - 2420 = -6292
Hence, the result of subtracting the first 5 multiples of 484 is -6292.
Average of First 5 Multiples of 484:
To calculate the average, we need to identify the sum of the first 5 multiples of 484, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 484 is 7260.
484 + 968 + 1452 + 1936 + 2420 = 7260
Next, divide the sum by 5:
7260 ÷ 5 = 1452
1452 is the average of the first 5 multiples of 484.
Product of First 5 Multiples of 484:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 484 include: 484, 968, 1452, 1936, and 2420. Now, the product of these numbers is:
484 × 968 × 1452 × 1936 × 2420 = 401,322,446,848,000
The product of the first 5 multiples of 484 is 401,322,446,848,000.
Division of First 5 Multiples of 484:
While we perform division, we get to know how many times 484 can fit into each of the given multiples. 484, 968, 1452, 1936, and 2420 are the first 5 multiples of 484.
484 ÷ 484 = 1
968 ÷ 484 = 2
1452 ÷ 484 = 3
1936 ÷ 484 = 4
2420 ÷ 484 = 5
The results of dividing the first 5 multiples of 484 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 484
While working with multiples of 484, 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
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 484. 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 484 refer to the products we get while multiplying 484 with other numbers. For example, multiples of 484 include 0, 484, 968, 1452, 1936, 2420, 2904, 3388, 3872, 4356, 4840, etc.
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, and 484. When 484 is divided by these numbers, the remainder will be zero. These are the factors of 484 meaning that these numbers can divide 484 without any remainder.
Factors of 484:
484 ÷ 1 = 484
484 ÷ 2 = 242
484 ÷ 4 = 121
484 ÷ 11 = 44
484 ÷ 22 = 22
484 ÷ 44 = 11
484 ÷ 121 = 4
484 ÷ 242 = 2
484 ÷ 484 = 1
Multiples of 484 Examples
Problem 1
Alex is organizing a charity event where each ticket sold helps feed 484 people. If Alex sells tickets every month and manages to sell 3 tickets each month, how many people will be fed after 6 months?
8,712 people
Explanation
Each ticket feeds 484 people. To find out how many people are fed after 6 months, multiply the number of tickets sold each month by the number of people fed per ticket and then by the number of months.
Tickets sold each month = 3
People fed per ticket = 484
Number of months = 6
3 × 484 × 6 = 8,712
Therefore, 8,712 people will be fed after 6 months.
Problem 2
A factory produces batches of widgets, each containing 484 pieces. If the factory creates the first three batches, how many widgets will be in each batch, and how many widgets will there be in total?
The widgets in each of the first three batches are 484, 968, and 1,452 respectively. The total number of widgets is 2,904.
Explanation
The first three multiples of 484 are calculated as follows:
484 × 1 = 484
484 × 2 = 968
484 × 3 = 1,452
Adding these together gives the total number of widgets:
484 + 968 + 1,452 = 2,904
Therefore, the total number of widgets in the three batches is 2,904.
Problem 3
In a large auditorium, each row is designed to hold 484 people. If there are 10 rows, how many people can the auditorium hold in total?
4,840 people
Explanation
To find the total capacity of the auditorium, multiply the number of rows by the number of people each row can hold.
Number of rows = 10
People per row = 484
10 × 484 = 4,840
Therefore, the auditorium can hold a total of 4,840 people.
Problem 4
Emily is an artist creating a series of paintings. Each painting consists of 5 panels, and each panel has 484 square inches of canvas. How many square inches of canvas does she use in total for one painting?
2,420 square inches
Explanation
To find the total canvas used for one painting, multiply the number of panels by the area of each panel.
Number of panels = 5
Area of each panel = 484 square inches
5 × 484 = 2,420
Therefore, Emily uses a total of 2,420 square inches of canvas for one painting.
Problem 5
A library receives a donation of books. The books are packed in boxes, with each box containing 484 books. The library receives 2 boxes in the first shipment, 3 boxes in the second shipment, and 4 boxes in the third shipment. How many books does the library receive in total?
4,356 books
Explanation
Calculate the total number of books by multiplying the number of boxes in each shipment by the number of books per box, and then summing the results:
First shipment: 2 × 484 = 968
Second shipment: 3 × 484 = 1,452
Third shipment: 4 × 484 = 1,936
Total books = 968 + 1,452 + 1,936 = 4,356
Therefore, the library receives a total of 4,356 books.
FAQs on Multiples of 484
1.How do you find the multiples of 484?
2.What is the LCM of 7 and 484?
3.What are the real-life applications of Multiples of 484?
4.Are multiples of 484 finite or infinite?
5.Is there any odd multiples of 484?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 484?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 484 challenges for kids in United States?
8.How do language and cultural differences in United States affect the way children learn the Multiplication Table and Multiples of 484?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 484 among early learners in United States?
Important Glossaries for Multiples of 484
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 484 include 484, 968, 1452, 1936, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 484 are the numbers that consist of the number pattern of 484.
- 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 484 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 11, 22, 44, 121, 242, and 484 are the divisors of 484.
- Factor: A factor is a number that divides into another number exactly. Factors of 484 include 1, 2, 4, 11, 22, 44, 121, 242, and 484.
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Seyed Ali Fathima S
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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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