Definition, How To Find And List Of The Multiples Of 5 - Vedantu

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)

1. Pick any whole number (like 7). Multiply that number by 5: \( 7 \times 5 = 35 \)
2. 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.

The last digit is 5, so Yes, 135 is a multiple of 5.

Example 2: List all multiples of 5 between 30 and 60.

They are: 30, 35, 40, 45, 50, 55, 60.

Example 3: Is 0 a multiple of 5?

Yes! 0 × 5 = 0, so 0 is a multiple of every number, including 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