The multiples of 6 are obtained by multiplying integers with 6. In this section, we will learn about the multiples of 6. For more details about multiples, see our page “Multiples of a Number“.

**First five multiples of 6**: 6, 12, 18, 24, and 30**Factors of 6**: 1, 2, 3, and 6.**Divisors of 6**: 1, 2, 3, and 6.

Table of Contents

## What are Multiples of 6?

A number is called a multiple of 6 if it is completely divisible by 6 with the remainder zero.

For example, 6 divides 12 completely, so by the definition 12 is a multiple of 6. Similarly, 6, 12, 18, 24, 60, 600, etc. are all examples of multiples of 6 as they are completely divisible 6.

Remark: From the above definition, it is clear that any multiple of 6 can be written as 6n for some integer n. So the set of multiples of 6 is given by

{6n: n is an integer}.

This is the roster form for the set of multiples of 6.

**Also Read:** Factors of 6

## First 10 Multiples of 6

The first 10 multiples of 6 are as follows:

6×1=6 | 6×2=12 |

6×3=18 | 6×4=24 |

6×5=30 | 6×6=36 |

6×7=42 | 6×8=48 |

6×9=54 | 6×10=60 |

So The first 10 multiples of 6 are as follows: 6, 12, 18, 24, 30, 36, 42, 48, 54, and 60.

**Question:** What are the first ten multiples of 6?

**Video Solution:**

## First 20 Multiples of 6

The first 20 multiples of 6 are given below:

6×1=6 | 6×2=12 |

6×3=18 | 6×4=24 |

6×5=30 | 6×6=36 |

6×7=42 | 6×8=48 |

6×9=54 | 6×10=60 |

6×11=66 | 6×12=72 |

6×13=78 | 6×14=84 |

6×15=90 | 6×16=96 |

6×17=102 | 6×18=108 |

6×19=114 | 6×20=120 |

So we have:

The first 20 multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, and 120. |

## Properties of Multiples of 6

• Multiples of 6 are always even numbers.

• Multiples of 6 always end with either 0, 2, 4, 6, or 8.

• If a number ends with 1, 3, 5, 7, or 9 then the number is not a multiple of 6.

## Question Answer on Multiples of 6

**Question 1:** How to find multiples of 6?

*Answer:*

Multiplying 6 with natural numbers, we can get the multiples of 6. For example, 2 is a natural number, so 2×6=12 is a multiple of 6.

**Question 2:** What is the Least Common Multiple(LCM) of 6 and 8?

*Answer:*

The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, ….

The multiples of 8 are 8, 16, 24, 32, 40, 48, …

So the common multiples of 6 and 8 are 24, 48, …, among which 24 is the least. Thus, the least common multiple of 6 and 8 is 24. In other words, **LCM(6, 8) = 24**.

**Question 3: **Are all multiples of 6 even?

*Answer:*

As 6 is an even number, all multiples of 6 will be even numbers.

**Question 3: **What are the multiples of 6 from 1 to 100?

*Answer:*

The multiples of 6 which lie between 1 and 100 are as follows: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.

This article is written by Dr. T. Mandal, Ph.D in Mathematics. On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.