# Multiples of 11

The multiples of 11 are obtained by multiplying integers with 11. In this section, we will learn about the multiples of 11. For more details about multiples, see our page “Multiples of a Number“.

#### What are Multiples of 11?

A number is called a multiple of 11 if it is completely divisible by 11 with the remainder zero.

For example, 11 divides 22 completely, so by the definition 22 is a multiple of 11. Similarly, 11, 22, 33, 44, 110, 1100, etc. are all examples of multiples of 11 as they are completely divisible 11.

Remark: From the above definition, it is clear that any multiple of 11 can be written as 11n for some integer n. So the set of multiples of 11 is given by

{11n: n is an integer}.

The above is the set builder form of the multiples of 11.

#### First 11 Multiples of 11

The first 10 multiples of 11 are as follows:

 11×1=11 11×2=22 11×3=33 11×4=44 11×5=55 11×6=66 11×7=77 11×8=88 11×9=99 11×10=110

So we have:

 The first 10 multiples of 11 are 11, 22, 33, 44, 55, 66, 77, 88, 99 and 110.

Question: What are the first ten multiples of 11?

Video Solution:

#### First 20 Multiples of 11

The first 20 multiples of 11 are given below:

11×1=11            11×2=22

11×3=33            11×4=44

11×5=55            11×6=66

11×7=77            11×8=88

11×9=99            11×10=110

11×11=121        11×12=132

11×13=143        11×14=154

11×15=165        11×16=176

11×17=187        11×18=198

11×19=209        11×20=220

So we have:

 The first 20 multiples of 11 are 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209 and 220.

#### Properties of Multiples of 11

• Multiples of 11 always end with either 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9.

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