123 LearnersLast updated on May 26th, 2025
Multiples of 10
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 10.
What are the Multiples of 10?
Now, let us learn more about multiples of 10. Multiples of 10 are the numbers you get when you multiply 10 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 10 can be denoted as 10 × 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 10 × 1 will give us 10 as the product. Multiples of 10 will be larger or equal to 10.
List of First 20 Multiples of 10
Multiples of 10 include the products of 10 and an integer. Multiples of 10 are divisible by 10 evenly. The first few multiples of 10 are given below:
| TABLE OF 10 (1-10) | |
|---|---|
|
10 x 1 = 10 |
10 x 6 = 60 |
|
10 x 2 = 20 |
10 x 7 = 70 |
|
10 x 3 = 30 |
10 x 8 = 80 |
|
10 x 4 = 40 |
10 x 9 = 90 |
|
10 x 5 = 50 |
10 x 10 = 100 |
| TABLE OF 10 (11-20) | |
|---|---|
|
10 x 11 = 110 |
10 x 16 = 160 |
|
10 x 12 = 120 |
10 x 17 = 170 |
|
10 x 13 = 130 |
10 x 18 = 180 |
|
10 x 14 = 140 |
10 x 19 = 190 |
|
10 x 15 = 150 |
10 x 20 = 200 |
Operations with Multiples of 10
Understanding the multiples of 10 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 10, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 10:
10, 20, 30, 40, and 50 are the first five multiples of 10. When multiplying 10 from 1 to 5 we get these numbers as the products. So, the sum of these multiples is:
10 + 20 + 30 + 40 + 50 = 150
When we add the first 5 multiples of 10, the answer will be 150.
Subtraction of first 5 Multiples of 10:
While we perform subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 10, 20, 30, 40, and 50 are the first five multiples of 10. So, let us calculate it as given below:
10 - 20 = -10
-10 - 30 = -40
-40 - 40 = -80
-80 - 50 = -130
Hence, the result of subtracting the first 5 multiples of 10 is -130.
Average of first 5 Multiples of 10:
To calculate the average, we need to identify the sum of the first 5 multiples of 10, 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 10 is 150.
10 + 20 + 30 + 40 + 50 = 150
Next, divide the sum by 5:
150 ÷ 5 = 30
30 is the average of the first 5 multiples of 10.
Product of First 5 Multiples of 10:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 10 include: 10, 20, 30, 40, and 50. Now, the product of these numbers is:
10 × 20 × 30 × 40 × 50 = 12,000,000
The product of the first 5 multiples of 10 is 12,000,000.
Division of First 5 Multiples of 10:
While we perform division, we get to know how many times 10 can fit into each of the given multiples. 10, 20, 30, 40, and 50 are the first 5 multiples of 10.
10 ÷ 10 = 1
20 ÷ 10 = 2
30 ÷ 10 = 3
40 ÷ 10 = 4
50 ÷ 10 = 5
The results of dividing the first 5 multiples of 10 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 10
While working with multiples of 10, 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 10. 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 10 refer to the products we get while multiplying 10 with other numbers. For example, multiples of 10 include 0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, …
The factors of 10 are 1, 2, 5, and 10. When 10 is divided by 1, 2, 5, and 10, the remainder will be zero. These are the factors of 10, meaning that these numbers can divide 10 without any remainder.
Factors of 10:
10 ÷ 1 = 10
10 ÷ 2 = 5
10 ÷ 5 = 2
10 ÷ 10 = 1
Multiples of 10 Examples
Problem 1
Samantha is organizing a charity event where each participant receives a batch of 10 balloons. If 50 participants have registered for the event, how many balloons does Samantha need in total?
500 balloons
Explanation
Each participant gets 10 balloons. To find the total number of balloons needed, multiply the number of participants by the number of balloons each receives.
Number of participants = 50
Balloons per participant = 10
50 × 10 = 500
Samantha needs 500 balloons in total.
Problem 2
A farmer plants rows of trees in his orchard. Each row contains 10 apple trees. If he plants 6 rows this year, how many apple trees has he planted in total?
60 apple trees
Explanation
To find the total number of apple trees, multiply the number of rows by the number of trees per row.
Number of rows = 6
Trees per row = 10
6 × 10 = 60
The farmer has planted 60 apple trees in total.
Problem 3
In a school, each grade has 10 classrooms, and each classroom contains 30 desks. How many desks are there in total for one grade?
300 desks
Explanation
Multiply the number of classrooms by the number of desks in each classroom to find the total number of desks.
Number of classrooms = 10
Desks per classroom = 30
10 × 30 = 300
There are 300 desks in total for one grade.
Problem 4
A warehouse stores boxes in stacks of 10. If there are 15 stacks of boxes, how many boxes are in the warehouse?
150 boxes
Explanation
Multiply the number of stacks by the number of boxes per stack to find the total number of boxes.
Number of stacks = 15
Boxes per stack = 10
15 × 10 = 150
The warehouse contains 150 boxes.
Problem 5
Liam is arranging his collection of vintage coins. He places 10 coins on each display tray. If he uses 8 trays, how many coins does he have on display?
80 coins
Explanation
Multiply the number of trays by the number of coins per tray to find the total number of coins on display.
Number of trays = 8
Coins per tray = 10
8 × 10 = 80
Liam has 80 coins on display.
FAQs on Multiples of 10
1.How do you find the multiples of 10?
2.What is the LCM of 5 and 10?
3.What are the real-life applications of Multiples of 10?
4.Are multiples of 10 finite or infinite?
5.Is there any odd multiple of 10?
Important Glossaries for Multiples of 10
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 10 include 10, 20, 30, 40, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 10 are the numbers that consist of the number pattern of 10.
- 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 10 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 5, and 10 are the divisors of 10.
- LCM (Least Common Multiple): The smallest common multiple that two or more numbers share. For instance, the LCM of 5 and 10 is 10.
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