List of Multiples of 25 up to 1000 with Patterns and Tips
Understanding the Multiples of 25 is a key part of arithmetic and number theory that helps students solve problems involving grouping, currency calculations, and division. Knowing how to list and use multiples of 25 is useful for school exams, competitive tests, and everyday maths challenges.
Understanding Multiples of 25
A multiple of 25 is any number you get by multiplying 25 by a whole number (integer). In other words, if you can write a number as \( 25 \times n \) where \( n \) is a whole number (0, 1, 2, 3, ...), then that number is a multiple of 25. For example, 50, 125, and 250 are all multiples of 25 because:
- 25 × 2 = 50
- 25 × 5 = 125
- 25 × 10 = 250
Multiples of 25 are common in topics such as times tables, number patterns, grouping objects equally, and checking divisibility in maths.
Formula to Find Multiples of 25
To find any multiple of 25, use this formula:
Multiple = 25 × n (where n is any whole number)
For example, to find the 8th multiple of 25:
25 × 8 = 200
So, 200 is the 8th multiple of 25.
List of Multiples of 25 (Up to 1000)
Here are the first 40 multiples of 25. You can use this as a quick reference for homework, assignments, or competitive exams:
| n | 25 × n | Multiple | n | 25 × n | Multiple |
|---|---|---|---|---|---|
| 1 | 25 × 1 | 25 | 21 | 25 × 21 | 525 |
| 2 | 25 × 2 | 50 | 22 | 25 × 22 | 550 |
| 3 | 25 × 3 | 75 | 23 | 25 × 23 | 575 |
| 4 | 25 × 4 | 100 | 24 | 25 × 24 | 600 |
| 5 | 25 × 5 | 125 | 25 | 25 × 25 | 625 |
| 6 | 25 × 6 | 150 | 26 | 25 × 26 | 650 |
| 7 | 25 × 7 | 175 | 27 | 25 × 27 | 675 |
| 8 | 25 × 8 | 200 | 28 | 25 × 28 | 700 |
| 9 | 25 × 9 | 225 | 29 | 25 × 29 | 725 |
| 10 | 25 × 10 | 250 | 30 | 25 × 30 | 750 |
| 11 | 25 × 11 | 275 | 31 | 25 × 31 | 775 |
| 12 | 25 × 12 | 300 | 32 | 25 × 32 | 800 |
| 13 | 25 × 13 | 325 | 33 | 25 × 33 | 825 |
| 14 | 25 × 14 | 350 | 34 | 25 × 34 | 850 |
| 15 | 25 × 15 | 375 | 35 | 25 × 35 | 875 |
| 16 | 25 × 16 | 400 | 36 | 25 × 36 | 900 |
| 17 | 25 × 17 | 425 | 37 | 25 × 37 | 925 |
| 18 | 25 × 18 | 450 | 38 | 25 × 38 | 950 |
| 19 | 25 × 19 | 475 | 39 | 25 × 39 | 975 |
| 20 | 25 × 20 | 500 | 40 | 25 × 40 | 1000 |
Number Patterns and Tips to Recognise Multiples of 25
- Every multiple of 25 ends with 00, 25, 50, or 75.
- The difference between any two consecutive multiples of 25 is always 25. (Example: 200 → 225 → 250)
- Multiples of 100 (like 100, 200, 300, 400...) are always multiples of 25 too.
- If a number divides evenly by 25 (no remainder), then it is a multiple of 25.
Recognising these patterns will help you spot multiples of 25 quickly in exams and daily life.
Comparison: Multiples of 24, 25, and 50
| 1st Few Multiples of 24 | 1st Few Multiples of 25 | 1st Few Multiples of 50 |
|---|---|---|
| 24, 48, 72, 96, 120, 144 | 25, 50, 75, 100, 125, 150 | 50, 100, 150, 200, 250, 300 |
You can see that some numbers (like 100, 150, 200, 300, etc.) are common multiples for all three. Notice especially that every multiple of 50 is also a multiple of 25.
Worked Examples: Multiples of 25 in Practice
Example 1: Is 525 a multiple of 25?
- Divide 525 by 25: 525 ÷ 25 = 21
- 21 is a whole number, so 525 is a multiple of 25.
Example 2: Find the 30th multiple of 25.
- Use the formula: 25 × 30 = 750
- The 30th multiple is 750.
Example 3: If a box holds 25 chocolates, how many boxes are needed for 600 chocolates?
- 600 ÷ 25 = 24
- So, 24 boxes exactly are needed.
Practice Problems
- List the first 10 multiples of 25.
- Check whether 875 is a multiple of 25.
- Find the smallest multiple of 25 that is greater than 320.
- How many multiples of 25 are there between 100 and 300?
- Is 1000 a multiple of both 25 and 50?
Common Mistakes to Avoid
- Confusing multiples with factors. Remember, multiples of 25 are numbers you get when you multiply 25 by whole numbers (e.g. 25, 50, 75), NOT the numbers that divide 25 (1, 5, 25).
- Forgetting that some multiples of 25 are odd (e.g., 75, 125). Not all multiples are even.
- Thinking only numbers ending with zero are multiples of 25. Numbers ending with 25, 50, or 75 are also multiples.
Real-World Applications
Multiples of 25 are used every day, especially in:
- Currency: Coins and notes are often valued in multiples of 25.
- Time: A quarter-hour is 15 minutes, but things like quarters in sports and academic scoring often use multiples of 25 or 100.
- Packing/Grouping: Distributing items into equal sets, such as 25 students in a class or 25 items in a pack.
A quick trick: To multiply a number by 25, multiply it by 100 and then divide by 4. For example, 16 × 25 = (16 × 100) ÷ 4 = 1600 ÷ 4 = 400.
At Vedantu, we make these shortcuts and applications simple to understand so you can use them with speed in exams and everyday maths.
You can also explore the Table of 25 and Factors of 25 pages for deeper learning.
In this topic, we learned about Multiples of 25, how to find them, recognize their patterns, and use them for division and real-world problems. Practicing this concept with tables and problems helps you master number theory and prepares you for faster calculations in all maths exams.
FAQs on Multiples of 25 Explained with Examples and Charts
1. What are the first 10 multiples of 25?
The first ten multiples of 25 are: 25, 50, 75, 100, 125, 150, 175, 200, 225, and 250. These numbers are obtained by multiplying 25 by consecutive whole numbers (1, 2, 3,...10).
2. Is 225 a multiple of 25?
Yes, 225 is a multiple of 25 because it is divisible by 25 without leaving a remainder (225 ÷ 25 = 9). This means 225 can be obtained by multiplying 25 by a whole number (in this case, 9).
3. What is the difference between a factor and a multiple?
A factor is a number that divides another number exactly, leaving no remainder. A multiple is the result of multiplying a number by any whole number. For example, the factors of 25 are 1, 5, and 25, while the multiples of 25 include 25, 50, 75, and so on.
4. Are all multiples of 25 even numbers?
No, multiples of 25 alternate between even and odd numbers. For instance, 25 is odd, 50 is even, 75 is odd, and so on. This pattern continues for all multiples of 25.
5. How do you check if a number is a multiple of 25?
To check if a number is a multiple of 25, see if it ends in 00, 25, 50, or 75. Alternatively, you can divide the number by 25; if the result is a whole number, it's a multiple.
6. What are all the numbers that multiply to 25?
The numbers that multiply to 25 are its factors: 1 and 25, and 5 and 5 (since 5 x 5 = 25). These are the only whole numbers that divide 25 without a remainder.
7. What are the multiple factors of 25?
The term 'multiple factors' is not standard mathematical terminology. It seems to be a combination of 'multiples' and 'factors'. The factors of 25 are 1, 5, and 25. The multiples of 25 are 25, 50, 75, 100, and so on.
8. What are the first 10 multiples of 25 up to 1000?
The first ten multiples of 25 are: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250. To find more, continue multiplying 25 by whole numbers. A list of multiples of 25 up to 1000 would be a significantly longer list.
9. What are the 25 multiples of 2?
The first twenty-five multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50. These are obtained by multiplying 2 by whole numbers from 1 to 25.
10. How are multiples of 25 used in real-world applications like banking or sports timing?
Multiples of 25 are frequently used in scenarios involving currency (e.g., denominations of 25 cents, 25 rupees), timekeeping (e.g., quarter-hour intervals), and measurements (e.g., 25 millimeters). In banking, they simplify calculations and in sports, they help in time divisions.
11. How do multiples of 25 interact with decimals and rounding in financial calculations?
In financial calculations, multiples of 25 often simplify rounding. For example, amounts ending in 25 or 75 can easily be rounded to the nearest 25-cent or 25-rupee increment. This simplifies balancing and reporting procedures.
