110 LearnersLast updated on May 26th, 2025
Multiples of 25
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 25.
What are the Multiples of 25?
Now, let us learn more about multiples of 25. Multiples of 25 are the numbers you get when you multiply 25 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 25 can be denoted as 25 × 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 25 × 1 will give us 25 as the product. Multiples of 25 will be larger or equal to 25.
List of First 20 Multiples of 25
Multiples of 25 include the products of 25 and an integer. Multiples of 25 are divisible by 25 evenly. The first few multiples of 25 are given below:
| TABLE OF 25 (1-10) | |
|---|---|
|
25 x 1 = 25 |
25 x 6 = 150 |
|
25 x 2 = 50 |
25 x 7 = 175 |
|
25 x 3 = 75 |
25 x 8 = 200 |
|
25 x 4 = 100 |
25 x 9 = 225 |
|
25 x 5 = 125 |
25 x 10 = 250 |
| TABLE OF 25 (11-20) | |
|---|---|
|
25 x 11 = 275 |
25 x 16 = 400 |
|
25 x 12 = 300 |
25 x 17 = 425 |
|
25 x 13 = 325 |
25 x 18 = 450 |
|
25 x 14 = 350 |
25 x 19 = 475 |
|
25 x 15 = 375 |
25 x 20 = 500 |
Now, we know the first few multiples of 25. They are 0, 25, 50, 75, 100, 125, 150, 175, 200, 225, 250,...
Operations with Multiples of 25
Understanding the multiples of 25 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 25, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 25:
25, 50, 75, 100, and 125 are the first five multiples of 25. When multiplying 25 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
25 + 50 + 75 + 100 + 125 = 375
When we add the first 5 multiples of 25, the answer will be 375.
Subtraction of first 5 Multiples of 25:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 25, 50, 75, 100, and 125 are the first five multiples of 25. So, let us calculate it as given below:
25 - 50 = -25
-25 - 75 = -100
-100 - 100 = -200
-200 - 125 = -325
Hence, the result of subtracting the first 5 multiples of 25 is -325.
Average of first 5 Multiples of 25:
To calculate the average, we need to identify the sum of the first 5 multiples of 25, 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 25 is 375.
25 + 50 + 75 + 100 + 125 = 375
Next, divide the sum by 5:
375 ÷ 5 = 75
75 is the average of the first 5 multiples of 25.
Product of First 5 Multiples of 25:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 25 include: 25, 50, 75, 100, and 125. Now, the product of these numbers is:
25 × 50 × 75 × 100 × 125 = 11,718,750,000
The product of the first 5 multiples of 25 is 11,718,750,000.
Division of First 5 Multiples of 25:
While we perform division, we get to know how many times 25 can fit into each of the given multiples. 25, 50, 75, 100, and 125 are the first 5 multiples of 25.
25 ÷ 25 = 1
50 ÷ 25 = 2
75 ÷ 25 = 3
100 ÷ 25 = 4
125 ÷ 25 = 5
The results of dividing the first 5 multiples of 25 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 25
While working with multiples of 25, 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 25. 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 25 refer to the products we get while multiplying 25 with other numbers. For example, multiples of 25 include 0, 25, 50, 75, 100, 125, 150, 175, 200, 225, 250,...
The factors of 25 are 1, 5, and 25. When 25 is divided by 1, 5, and 25, the remainder will be zero. These are the factors of 25, meaning that these numbers can divide 25 without any remainder.
Factors of 25:
25 ÷ 1 = 25
25 ÷ 5 = 5
25 ÷ 25 = 1
Multiples of 25 Examples
Problem 1
In a city park, benches are placed in rows, and each row has 25 benches. If there are 6 rows of benches, how many benches are there in total in the park?
150 benches
Explanation
To find the total number of benches, we multiply the number of benches in each row by the number of rows.
Number of benches per row = 25
Number of rows = 6
25 × 6 = 150
Therefore, there are 150 benches in total in the park.
Problem 2
A cookie factory produces 25 boxes of cookies every hour. If the factory works for 8 hours a day, how many boxes of cookies does it produce in a day?
200 boxes
Explanation
To find the total number of cookie boxes produced in a day, we multiply the number of boxes produced per hour by the number of hours worked.
Boxes produced per hour = 25
Hours worked per day = 8
25 × 8 = 200
Thus, the factory produces 200 boxes of cookies in a day.
Problem 3
Emma is planning a community garden and decides to plant trees in multiples of 25. If she plants the first 5 multiples of 25, how many trees does she plant in total?
375 trees
Explanation
First, identify the first 5 multiples of 25:
25 × 1 = 25
25 × 2 = 50
25 × 3 = 75
25 × 4 = 100
25 × 5 = 125
Add them together:
25 + 50 + 75 + 100 + 125 = 375
Emma plants a total of 375 trees.
Problem 4
During a promotional event, a store gives away gift vouchers in multiples of 25. If they distribute the first 4 multiples of 25 vouchers to customers, how many vouchers were given away in total?
250 vouchers
Explanation
First identify the first 4 multiples of 25:
25 × 1 = 25
25 × 2 = 50
25 × 3 = 75
25 × 4 = 100
Add them together:
25 + 50 + 75 + 100 = 250
Thus, the store gives away 250 vouchers in total.
Problem 5
A hotel conference room has tables arranged such that each table can seat 25 people. If there are 10 tables in the room, how many people can be seated in total?
250 people
Explanation
To find the total seating capacity, multiply the number of people per table by the number of tables.
Number of people per table = 25
Number of tables = 10
25 × 10 = 250
Thus, 250 people can be seated in the conference room.
FAQs on Multiples of 25
1.How do you find the multiples of 25?
2.What is the LCM of 5 and 25?
3.What are the real-life applications of Multiples of 25?
4.Are multiples of 25 finite or infinite?
5.Is there any odd multiple of 25?
Important Glossaries for Multiples of 25
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 25 include 25, 50, 75, 100, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 25 are the numbers that consist of the number pattern of 25.
- Odd number: An odd number is an integer that is not divisible by 2 without a remainder. Some multiples of 25 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 5, and 25 are the divisors of 25.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each number in a given set of numbers. For example, the LCM of 5 and 25 is 25.
Explore More multiplication-tables
Previous to Multiples of 25
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
