How to Find Multiples of 5 with Rules and Examples
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 What Is a Multiple of 5 in Maths
1. What is a multiple of 5?
A multiple of 5 is any number that can be written as 5 × n, where n is a whole number. In simple terms, it is a number you get when you multiply 5 by 1, 2, 3, and so on.
- 5 × 1 = 5
- 5 × 2 = 10
- 5 × 3 = 15
- 5 × 4 = 20
2. How do you identify a multiple of 5?
A number is a multiple of 5 if its last digit is 0 or 5. This is known as the divisibility rule of 5.
- 25 → ends in 5 ✅
- 60 → ends in 0 ✅
- 73 → ends in 3 ❌
3. What is the divisibility rule for 5?
The divisibility rule for 5 states that a number is divisible by 5 if its ones digit is 0 or 5. This rule works for both small and large numbers.
- 145 → last digit 5 → divisible by 5
- 230 → last digit 0 → divisible by 5
- 478 → last digit 8 → not divisible by 5
4. What are the first 10 multiples of 5?
The first 10 multiples of 5 are obtained by multiplying 5 by numbers from 1 to 10.
- 5 × 1 = 5
- 5 × 2 = 10
- 5 × 3 = 15
- 5 × 4 = 20
- 5 × 5 = 25
- 5 × 6 = 30
- 5 × 7 = 35
- 5 × 8 = 40
- 5 × 9 = 45
- 5 × 10 = 50
5. Is 0 a multiple of 5?
Yes, 0 is a multiple of 5 because it can be written as 5 × 0 = 0. Since a multiple is the result of multiplying a number by any whole number, and 0 is a whole number, 0 satisfies the definition.
6. How do you find multiples of 5 up to 100?
To find multiples of 5 up to 100, multiply 5 by whole numbers until the product reaches 100.
- 5 × 1 = 5
- 5 × 2 = 10
- ...
- 5 × 20 = 100
7. What is the formula to find multiples of 5?
The formula to find a multiple of 5 is 5n, where n is any integer. By substituting different values of n, you can generate multiples.
- If n = 4, then 5n = 5 × 4 = 20
- If n = 9, then 5n = 5 × 9 = 45
8. What is the difference between a factor of 5 and a multiple of 5?
A factor of 5 divides 5 exactly, while a multiple of 5 is obtained by multiplying 5 by a whole number.
- Factors of 5: 1 and 5
- Multiples of 5: 5, 10, 15, 20, …
9. Are all multiples of 5 odd numbers?
No, multiples of 5 can be odd or even depending on the multiplier. If 5 is multiplied by an odd number, the result is odd; if multiplied by an even number, the result is even.
- 5 × 3 = 15 (odd)
- 5 × 4 = 20 (even)
10. Can you give a real-life example of multiples of 5?
A real-life example of multiples of 5 is counting money in units of 5, such as 5, 10, 15, or 20 rupees or dollars. For example:
- If one item costs 5 dollars, then 3 items cost 5 × 3 = 15 dollars.
- If you save 5 coins daily, in 7 days you save 5 × 7 = 35 coins.
