125 LearnersLast updated on May 26th, 2025
Multiples of 500
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 500.
What are the Multiples of 500?
Now, let us learn more about multiples of 500. Multiples of 500 are the numbers you get when you multiply 500 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 500 can be denoted as 500 × 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 500 × 1 will give us 500 as the product.
Multiples of 500 will be larger or equal to 500.
List of First 20 Multiples of 500
Multiples of 500 include the products of 500 and an integer. Multiples of 500 are divisible by 500 evenly. The first few multiples of 500 are given below:
| TABLE OF 500 (1-10) | |
|---|---|
|
500 x 1 = 500 |
500 x 6 = 3000 |
|
500 x 2 = 1000 |
500 x 7 = 3500 |
|
500 x 3 = 1500 |
500 x 8 = 4000 |
|
500 x 4 = 2000 |
500 x 9 = 4500 |
|
500 x 5 = 2500 |
500 x 10 = 5000 |
| TABLE OF 500 (11-20) | |
|---|---|
|
500 x 11 = 5500 |
500 x 16 = 8000 |
|
500 x 12 = 6000 |
500 x 17 = 8500 |
|
500 x 13 = 6500 |
500 x 18 = 9000 |
|
500 x 14 = 7000 |
500 x 19 = 9500 |
|
500 x 15 = 7500 |
500 x 20 = 10000 |
Now, we know the first few multiples of 500. They are 0, 500, 1000, 1500, 2000, 2500, 3000, 3500, 4000, 4500, 5000,...
Operations with Multiples of 500
Understanding the multiples of 500 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 500, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 500:
500, 1000, 1500, 2000, and 2500 are the first five multiples of 500. When multiplying 500 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
500 + 1000 + 1500 + 2000 + 2500 = 7500
Subtraction of first 5 Multiples of 500:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 500, 1000, 1500, 2000, and 2500 are the first five multiples of 500. So, let us calculate it as given below:
500 - 1000 = -500
-500 - 1500 = -2000
-2000 - 2000 = -4000
-4000 - 2500 = -6500
Hence, the result of subtracting the first 5 multiples of 500 is -6500.
Average of first 5 Multiples of 500:
To calculate the average, we need to identify the sum of the first 5 multiples of 500 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 500 is 7500.
7500 ÷ 5 = 1500
1500 is the average of the first 5 multiples of 500.
Product of First 5 Multiples of 500:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 500 include: 500, 1000, 1500, 2000, and 2500. Now, the product of these numbers is:
500 × 1000 × 1500 × 2000 × 2500 = 3,750,000,000,000,000
The product of the first 5 multiples of 500 is 3,750,000,000,000,000.
Division of First 5 Multiples of 500:
While we perform division, we get to know how many times 500 can fit into each of the given multiples. 500, 1000, 1500, 2000, and 2500 are the first 5 multiples of 500.
500 ÷ 500 = 1
1000 ÷ 500 = 2
1500 ÷ 500 = 3
2000 ÷ 500 = 4
2500 ÷ 500 = 5
The results of dividing the first 5 multiples of 500 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 500
While working with multiples of 500, 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 500. 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 500 refer to the products we get while multiplying 500 with other numbers. For example, multiples of 500 include 0, 500, 1000, 1500, 2000, 2500, 3000, 3500, 4000, 4500, 5000….
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500. When 500 is divided by these numbers, the remainder will be zero. These are the factors of 500, meaning that these numbers can divide 500 without any remainder.
Factors of 500:
500 ÷ 1 = 500
500 ÷ 2 = 250
500 ÷ 4 = 125
500 ÷ 5 = 100
500 ÷ 10 = 50
500 ÷ 20 = 25
500 ÷ 25 = 20
500 ÷ 50 = 10
500 ÷ 100 = 5
500 ÷ 125 = 4
500 ÷ 250 = 2
500 ÷ 500 = 1
Multiples of 500 Examples
Problem 1
A construction company is tasked with building a new apartment complex. Each floor of the complex requires 500 bricks. If the company plans to build a total of 6 floors, how many bricks will they need in total?
3000 bricks
Explanation
To determine the total number of bricks needed, multiply the number of bricks per floor by the number of floors.
Number of bricks per floor = 500
Number of floors = 6
500 × 6 = 3000
The company will need 3000 bricks in total.
Problem 2
A farmer is buying bags of fertilizer for his fields. Each bag contains 500 kg of fertilizer. If he buys bags weighing the first three multiples of 500 kg, how much fertilizer does he have in total?
3000 kg
Explanation
The first three multiples of 500 are 500, 1000, and 1500. The total weight of fertilizer is the sum of these multiples.
500 × 1 = 500
500 × 2 = 1000
500 × 3 = 1500
Total weight = 500 + 1000 + 1500 = 3000 kg
Therefore, the farmer has 3000 kg of fertilizer.
Problem 3
A printing company produces brochures in batches. Each batch consists of 500 brochures. If the company completes 7 batches, how many brochures have they printed in total?
3500 brochures
Explanation
To find the total number of brochures printed, multiply the number of brochures per batch by the number of batches.
Number of brochures per batch = 500
Number of batches = 7
500 × 7 = 3500
The company has printed a total of 3500 brochures.
Problem 4
In a large warehouse, packages are organized in stacks. Each stack contains 500 packages. If there are 4 rows of stacks and each row has 3 stacks, how many packages are there in total?
6000 packages
Explanation
First, calculate the total number of stacks by multiplying the number of rows by the number of stacks per row. Then multiply the total number of stacks by the number of packages per stack.
Number of rows = 4
Number of stacks per row = 3
Total stacks = 4 × 3 = 12
Number of packages per stack = 500
Total packages = 12 × 500 = 6000
There are 6000 packages in total.
Problem 5
A city library is expanding its collection by adding new books. Each shipment delivers 500 books. Over the next three months, the library receives shipments in the amounts of the first three multiples of 500. How many books does the library receive in total?
3000 books
Explanation
The first three multiples of 500 are 500, 1000, and 1500. The total number of books received is the sum of these shipments.
500 × 1 = 500
500 × 2 = 1000
500 × 3 = 1500
Total books = 500 + 1000 + 1500 = 3000
The library receives a total of 3000 books.
FAQs on Multiples of 500
1.How do you find the multiples of 500?
2.What is the LCM of 500 and 1000?
3.What are the real-life applications of Multiples of 500?
4.Are multiples of 500 finite or infinite?
5.Is there any odd multiple of 500?
Important Glossaries for Multiples of 500
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 500 include 500, 1000, 1500, 2000, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 500 are the numbers that consist of the number pattern of 500.
- 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 500 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500 are the divisors of 500.
- Least Common Multiple (LCM): The smallest common multiple of two or more numbers. For instance, the LCM of 500 and 1000 is 1000.
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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.
Fun Fact
: She has songs for each table which helps her to remember the tables
