118 LearnersLast updated on May 26th, 2025
Multiples of 5000
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 5000.
What are the Multiples of 5000?
Now, let us learn more about multiples of 5000. Multiples of 5000 are the numbers you get when you multiply 5000 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 5000 can be denoted as 5000 × 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 5000 × 1 will give us 5000 as the product. Multiples of 5000 will be larger or equal to 5000.
List of First 20 Multiples of 5000
Multiples of 5000 include the products of 5000 and an integer. Multiples of 5000 are divisible by 5000 evenly. The first few multiples of 5000 are given below:
| TABLE OF 5000 (1-10) | |
|---|---|
|
5000 x 1 = 5000 |
5000 x 6 = 30000 |
|
5000 x 2 = 10000 |
5000 x 7 = 35000 |
|
5000 x 3 = 15000 |
5000 x 8 = 40000 |
|
5000 x 4 = 20000 |
5000 x 9 = 45000 |
|
5000 x 5 = 25000 |
5000 x 10 = 50000 |
| TABLE OF 5000 (11-20) | |
|---|---|
|
5000 x 11 = 55000 |
5000 x 16 = 80000 |
|
5000 x 12 = 60000 |
5000 x 17 = 85000 |
|
5000 x 13 = 65000 |
5000 x 18 = 90000 |
|
5000 x 14 = 70000 |
5000 x 19 = 95000 |
|
5000 x 15 = 75000 |
5000 x 20 = 100000 |
Now, we know the first few multiples of 5000. They are 0, 5000, 10000, 15000, 20000, 25000, 30000, 35000, 40000, 45000, 50000,...
Operations with Multiples of 5000
Understanding the multiples of 5000 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 5000, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 5000:
5000, 10000, 15000, 20000, and 25000 are the first five multiples of 5000. When multiplying 5000 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
5000 + 10000 + 15000 + 20000 + 25000 = 75000
When we add the first 5 multiples of 5000, the answer will be 75000.
Subtraction of first 5 Multiples of 5000:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 5000, 10000, 15000, 20000, and 25000 are the first five multiples of 5000. So, let us calculate it as given below:
5000 - 10000 = -5000
-5000 - 15000 = -20000
-20000 - 20000 = -40000
-40000 - 25000 = -65000
Hence, the result of subtracting the first 5 multiples of 5000 is -65000.
Average of first 5 Multiples of 5000:
To calculate the average, we need to identify the sum of the first 5 multiples of 5000, 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 5000 is 75000.
5000 + 10000 + 15000 + 20000 + 25000 = 75000
Next, divide the sum by 5:
75000 ÷ 5 = 15000
15000 is the average of the first 5 multiples of 5000.
Product of First 5 Multiples of 5000:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 5000 include: 5000, 10000, 15000, 20000, and 25000. Now, the product of these numbers is:
5000 × 10000 × 15000 × 20000 × 25000 = 3.75 × 10^20
The product of the first 5 multiples of 5000 is a very large number.
Division of First 5 Multiples of 5000:
While we perform division, we get to know how many times 5000 can fit into each of the given multiples. 5000, 10000, 15000, 20000, and 25000 are the first 5 multiples of 5000.
5000 ÷ 5000 = 1
10000 ÷ 5000 = 2
15000 ÷ 5000 = 3
20000 ÷ 5000 = 4
25000 ÷ 5000 = 5
The results of dividing the first 5 multiples of 5000 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 5000
While working with multiples of 5000, 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 5000. 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 5000 refer to the products we get while multiplying 5000 with other numbers. For example, multiples of 5000 include 0, 5000, 10000, 15000, 20000, 25000, 30000, 35000, 40000, 45000, 50000, etc.
The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000, 1250, 2500, and 5000. When 5000 is divided by these numbers, the remainder will be zero. These are the factors of 5000 meaning that these numbers can divide 5000 without any remainder.
Multiples of 5000 Examples
Problem 1
In a warehouse, boxes of products are packed in batches. Each batch contains 5000 units of a product. If the warehouse restocks its inventory every month with 3 new batches, how many units will be added to the inventory over 6 months?
90,000 units
Explanation
Each month, the warehouse receives 3 batches of 5000 units each. To find the total number of units added over 6 months, multiply the number of units in a batch by the number of batches per month and the number of months.
Units in each batch = 5000
Batches per month = 3
Number of months = 6
5000 × 3 × 6 = 90,000
Therefore, 90,000 units will be added to the inventory over 6 months.
Problem 2
A company is hosting a series of workshops, each accommodating 5000 participants. If they plan to host workshops for the first three multiples of 5000 participants, how many participants will be accommodated in total?
30,000 participants
Explanation
The first three multiples of 5000 are 5000, 10,000, and 15,000. The company will host workshops for each of these participant numbers.
5000 × 1 = 5000
5000 × 2 = 10,000
5000 × 3 = 15,000
Total participants = 5000 + 10,000 + 15,000 = 30,000
Hence, a total of 30,000 participants will be accommodated.
Problem 3
At an annual festival, a food stall distributes 5000 servings of snacks each day. If the festival lasts for 8 days, how many servings will be distributed by the end of the festival?
40,000 servings
Explanation
To find the total number of servings distributed, multiply the number of servings per day by the number of days the festival lasts.
Servings per day = 5000
Number of days = 8
5000 × 8 = 40,000
Therefore, 40,000 servings will be distributed by the end of the festival
Problem 4
A factory produces 5000 gadgets every week. If the production rate remains the same, how many gadgets will the factory produce in 10 weeks?
50,000 gadgets
Explanation
To find the total number of gadgets produced, multiply the weekly production rate by the number of weeks.
Gadgets per week = 5000
Number of weeks = 10
5000 × 10 = 50,000
Thus, the factory will produce 50,000 gadgets in 10 weeks.
Problem 5
A printing press prints 5000 copies of a book each day. If they print for 7 days continuously, how many copies will be printed in total?
35,000 copies
Explanation
To determine the total number of copies printed, multiply the daily print rate by the number of days.
Copies per day = 5000
Number of days = 7
5000 × 7 = 35,000
Therefore, 35,000 copies will be printed in total.
FAQs on Multiples of 5000
1.How do you find the multiples of 5000?
2.What is the LCM of 5000 and 7000?
3.What are the real-life applications of Multiples of 5000?
4.Are multiples of 5000 finite or infinite?
5.Is there any odd multiple of 5000?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 5000?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 5000 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 5000?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 5000 among early learners in Vietnam?
Important Glossaries for Multiples of 5000
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 5000 include 5000, 10000, 15000, 20000, etc.
- Natural number: These are the positive integers starting from 1, used for counting and ordering.
- Even number: An even number refers to any number that can be divided by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 5000 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. For example, 1, 2, 4, 5, and 5000 are divisors of 5000.
- Least Common Multiple (LCM): LCM is the smallest multiple that two or more numbers have in common.
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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
