Multiples of 6: First Five, Ten Multiples of 6

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.

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.