Have you ever wondered why certain numbers seem to repeat in math? Today we’re going to discover the multiples of 3 — a key concept that will help you better understand multiplication tables, divisibility, and many other topics.

In this article, you'll learn what they are, how to identify them easily, see a complete list up to 1000, and practice your knowledge with examples and exercises. Let’s go!

What Is a Multiple of 3?

A multiple of 3 is any number that results from multiplying 3 by a whole number. In other words, if you can divide a number by 3 without a remainder, then it is a multiple of 3.

Example:
3 × 1 = 3
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
...and so on!

How to Know If a Number Is a Multiple of 3

There are two easy methods:

Exact division: If you divide the number by 3 and the result is a whole number, it’s a multiple of 3.
Example: 15 ÷ 3 = 5 ✅

Divisibility rule: Add the digits of the number. If the result is a multiple of 3, then the number is too.
Examples:

123 → 1+2+3 = 6 → ✅
124 → 1+2+4 = 7 → ❌

List of multiples of 3 from 1 to 1000

🎯 What’s the Difference Between a Multiple and a Divisor?

• Multiple: The result of a multiplication (e.g., 15 is a multiple of 3 because 3×5=15).
• Divisor: A number that divides another without leaving a remainder (3 is a divisor of 15).

Both concepts are often used together in many areas of math.

Learning the multiples of 3 is essential to mastering topics like multiplication, divisibility, and problem-solving. Use this guide as a reference and practice with the exercises to strengthen your skills.