How to Quickly Identify Multiples of 5 and Their Patterns
The concept of multiples of 5 plays a key role in mathematics and is widely useful in quick arithmetic, divisibility checks, and solving exam questions. Understanding how multiples work makes multiplication, factors, and Least Common Multiple (LCM) much simpler.
What Is a Multiple of 5?
A multiple of 5 is a number that you get when you multiply 5 by any whole number (such as 1, 2, 3, 4, etc.). These numbers include 5, 10, 15, 20, and go on endlessly. You’ll find this concept used in the multiplication table of 5, when working with LCM (Least Common Multiple), as well as in patterns such as numbers ending with 0 or 5.
Key Formula for Multiples of 5
Here’s the standard formula for finding any multiple of 5:
\( \text{Multiple of 5} = 5 \times n \) (where n = 1, 2, 3, ...)
How to Find Multiples of 5 (Step-by-Step Guide)
- Pick any whole number (like 7).
Multiply that number by 5: \( 7 \times 5 = 35 \) - You can keep increasing the number (n):
\( 5 \times 8 = 40 \), \( 5 \times 9 = 45 \), \( 5 \times 10 = 50 \), and so on.
List of Multiples of 5 up to 100
| n | 5 × n |
|---|---|
| 1 | 5 |
| 2 | 10 |
| 3 | 15 |
| 4 | 20 |
| 5 | 25 |
| 6 | 30 |
| 7 | 35 |
| 8 | 40 |
| 9 | 45 |
| 10 | 50 |
| 11 | 55 |
| 12 | 60 |
| 13 | 65 |
| 14 | 70 |
| 15 | 75 |
| 16 | 80 |
| 17 | 85 |
| 18 | 90 |
| 19 | 95 |
| 20 | 100 |
Quick Trick: How to Check for Multiples of 5
Any number whose last digit is 0 or 5 is a multiple of 5. For example, 45, 120, 55 all end in 0 or 5, so they are multiples of 5. This saves you time in exams!
Examples of Multiples of 5
Example 1: Find if 135 is a multiple of 5.
Example 2: List all multiples of 5 between 30 and 60.
Example 3: Is 0 a multiple of 5?
Speed Trick or Vedic Shortcut
Here’s a handy shortcut: If you need to check big numbers, just look at the units digit. If it's 0 or 5, the number is a multiple of 5! Many Vedantu teachers also suggest memorizing the table of 5 up to 20 for super speed.
Try These Yourself
- Write the first ten multiples of 5.
- Is 37 a multiple of 5?
- List multiples of 5 from 50 to 80.
- Find which of these are not multiples of 5: 15, 21, 23, 50.
Multiples of 5 vs. Factors of 5
| Multiples of 5 | Factors of 5 |
|---|---|
| Go upwards: 5, 10, 15, 20, ... (infinite) | Go downwards: 1 and 5 only |
| Product of 5 with any number | Numbers that divide 5 without remainder |
Relation to Other Concepts
Multiples of 5 connect closely with learning multiples of 3 and multiples of 6. They are also important for finding common multiples, understanding LCM, and building multiplication skills through the table of 5.
Common Mistakes to Avoid
- Mixing up multiples with factors.
- Forgetting that 0 is a multiple of every number.
- Thinking 1 is a multiple of 5 (it is NOT).
Classroom Tip
A super easy way to remember multiples of 5 is: they always end with a 0 or 5. Many Vedantu classes use skip counting (say 5, 10, 15, 20…) as a chant, and color tables to help you see patterns right away.
We have explored multiples of 5—from their definition, easy formula, and special tricks to their use in tables and related maths concepts. Keep practicing with Vedantu to gain confidence in numbers and speed up your calculations every day!
Related topics: Multiples of 3 | Multiples of 6 | Multiplication Table | LCM
FAQs on Multiples of 5 Explained with Simple Lists and Tricks
1. What are multiples of 5?
Multiples of 5 are numbers obtained by multiplying 5 by any whole number (0, 1, 2, 3, and so on). They are the results of repeatedly adding 5. For example, 0, 5, 10, 15, 20 are all multiples of 5.
2. How do I find multiples of 5?
To find multiples of 5, repeatedly add 5 to the previous multiple, starting with 0. Alternatively, multiply 5 by consecutive whole numbers (0, 1, 2, 3...). The results are the multiples of 5.
3. What are the first 10 multiples of 5?
The first ten multiples of 5 are: 0, 5, 10, 15, 20, 25, 30, 35, 40, 50.
4. How can I quickly check if a number is a multiple of 5?
A number is a multiple of 5 if its last digit is either 0 or 5. This is a quick divisibility rule for 5.
5. What are the multiples of 5 up to 100?
The multiples of 5 up to 100 are: 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100.
6. Is 0 a multiple of 5?
Yes, 0 is a multiple of 5 because 5 multiplied by 0 equals 0 (5 x 0 = 0).
7. Is 1 a multiple of 5?
No, 1 is not a multiple of 5. Multiples of 5 are created by multiplying 5 by a whole number; there is no whole number that, when multiplied by 5, results in 1.
8. What is the difference between multiples and factors?
Multiples are the results of multiplying a number by whole numbers. Factors are numbers that divide evenly into a given number. For example, the multiples of 5 are 0, 5, 10, 15... while the factors of 10 are 1, 2, 5, and 10.
9. How are multiples of 5 used in real-life situations?
Multiples of 5 are frequently used in counting money (5, 10, 20, 50, 100), measuring in centimeters or inches (often in multiples of 5), and many other everyday applications where counting in groups of five is convenient.
10. How do multiples of 5 relate to the concept of Least Common Multiple (LCM)?
The LCM is the smallest number that is a multiple of two or more numbers. Finding the LCM often involves identifying common multiples of the given numbers. For example, to find the LCM of 5 and 10, we can list multiples of each and find the smallest number that appears in both lists.
11. Are negative numbers multiples of 5?
Yes, negative numbers can also be multiples of 5. For example, -5, -10, -15 are all multiples of 5, as they result from multiplying 5 by negative whole numbers.
12. What patterns can I observe in multiples of 5?
All multiples of 5 end in either 0 or 5. The sequence of multiples of 5 forms an arithmetic progression with a common difference of 5. The numbers alternate between even and odd values.
