Multiples of 11
Multiples of 11 are whole numbers. They are the product of n natural numbers and 11. In other words, we can say that the multiples of 11 are the numbers that can be divided by 11 without leaving any remainder. We can create n number of multiples of 11 just by multiplying 11 with n natural numbers. Determining multiples of 11 is very easy.
In this minilesson, we will calculate the multiples of 11, and we will learn some interesting facts about these multiples.
 First five multiples of 11: 11, 22, 33, 44, and 55
 Prime factorization of 11: 11 = 1 × 11
1.  What Are the Multiples of 11? 
2.  First 20 Multiples of 11 
3.  Tips and Tricks 
4.  FAQs on Multiples of 11 
What Are the Multiples of 11?
It is interesting to note that the first 9 multiples of 11 can be conveniently derived and are very easy to memorize. When 11 is multiplied by any single digit natural number, the product of that natural number is written twice. For example, 11 × n = nn; here n is a natural number. Like this, we have obtained the first nine multiples of 11.
 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
Hence, the first nine multiples of 11 are 11, 22, 33, 44, 55, 66, 77, 88, and 99.
First 20 Multiples of 11
The first 20 multiples of 11 are those numbers which we obtain as the result when we multiply natural numbers from 120 with 11. We just derived first 9 multiples of 11. Let us try a small trick to derive multiples of 11 for natural numbers 1020. The first 20 multiples of 11 can also be obtained using the skip count method. To calculate the multiples of 11 for 2 digits numbers, take the sum of the digits of the number and place the sum between the two digits of the original twodigit number. For example, when 11 is multiplied by 10, take the sum of 1 and 0, that is, 1. Now, place the sum 1 between 1 and 0. The resulting number is 110. The product of 11 and 10 is 110, that is, 11 × 10 = 110. Be careful when you multiply 11 × 19 using this trick. The first 20 multiples of 11 are listed in the table below.
First 20 Multiples of 11  

11 × 1 = 11  11 × 11 = 121 
11 × 2 = 22  11 × 12 = 132 
11 × 3 = 33  11 × 13 = 143 
11 × 4 = 44  11 × 14 = 154 
11 × 5 = 55  11 × 15 = 165 
11 × 6 = 66  11 × 16 = 176 
11 × 7 = 77  11 × 17 = 187 
11 × 8 = 88  11 × 18 = 198 
11 × 9 = 99  11 × 19 = 209 
11 × 10 = 110  11 × 20 = 220 
To understand the concept of finding multiples, let us take a few more examples.
 Multiples of 12  The first five multiples of 12 are 12, 24, 36, 48, and 60.
 Multiples of 3  The first five multiples of 3 are 3, 6, 9, 12, and 15.
 Multiples of 10  The first five multiples of 10 are 10, 20, 30, 40, and 50.
 Multiples of 14  The first five multiples of 14 are 14, 28, 42, 56, and 70.
 Multiples of 13  The first five multiples of 13 are 13, 26, 39, 52, and 65.
Tips and Tricks:
 When 11 is multiplied by any single digit natural number, the product of that natural number is written twice.
 To calculate the multiples of 11 for 2 digits numbers, take the sum of the digits of the number and place the sum between the two digits of the resultant product.
Multiples of 11 Solved Examples

Example 1: Help Xin in finding sum of first 9 multiples of 11. Tell whether the resultant number is also a multiple of 11 or not.
Solution:
The first 9 multiples of 11 are = 11, 22, 33, 44, 55, 66, 77, 88, and 99.
Sum of 9 multiples of 11 are = 11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99 = 495
495 is a 45^{th} multiple of 11. 
Example 2: Find the first 5 odd multiples of 11.
Solution:
To determine first five odd multiples of 11 we need to multiply 11 by odd numbers.
11 × 1 = 11
11 × 3 = 33
11 × 5 = 55
11 × 7 = 77
11 × 9 = 99
The first five odd multiples of 11 are 11, 33, 55, 77, and 99.
FAQs on Multiples of 11
How do you find the multiples of 11?
Multiply any natural number with 11. For example, 11 × 2 = 22
What are the first 9 multiples of 11?
The first 9 multiples of 11 are 11, 22, 33, 44, 55, 66, 77, 88, and 99.
Are all multiples of 11 even?
No, all the multiples of 11 are not even. Some multiples of 11 are even and some are odd.
For example, 11 × 11 = 121, 121 is odd number
11 × 12 = 132, 132 is even number
What is the least common multiple of 11 and 111?
Here, we have to take factors of both the numbers first.
11 = 11 × 1
111= 3 × 37
Hence, the least common multiple of the numbers 11 and 111 is 3 × 11 × 37 = 1221
What are the first 5 multiples of 11?
The first 5 multiples of 11 are 11, 22, 33, 44, and 55.
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