The multiples of 11 are 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, etc. These multiples are obtained when we multiply 11 by 1, 2, 3, …, 10, respectively. We can observe that all these multiples form a sequence with the difference between two consecutive multiples of 11 is always equal to 11. In mathematics, finding multiples of a given number involves multiplication of the given number by natural numbers. Among all the numbers, finding the multiples of 11 is very simple. We know that every number is a multiple and the factor of itself. Thus, 11 is a factor of 11, and also 11 is a multiple of 11. However, there is a difference between factors and multiples, which you can learn here.
What are the Multiples of 11?
Multiples for 11 are numbers that can be divided by 11 without a remainder. In other words, any number that can be expressed in 11n where n is an integer is a multiple of 11. So, for example, we have two values, p and q; we say that q is a multiple of p if q = np for some integer n. An interesting point about the first nine multiples of 11 is that when 11 is multiplied by a single-digit natural number, i.e. from 1 to 9, that natural number is written twice. These can be expressed as:
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
These are the first 9 multiples of 11. We can also find the multiples through the repeated addition of a number as many times as required.
Now, let us find the first five multiples of 11 by multiplication and adding the number repeatedly, as shown below.
The first multiple of 11 is: 11 × 1 = 11
The second multiple of 11 is: 11 × 2 = 22 Or 11 + 11 = 22 {here 11 is added for twice}
The third multiple of 11 is: 11 × 3 = 33 Or 11 + 11 + 11 = 33 {here 11 is added for thrice}
The fourth multiple of 11 is: 11 × 4 = 44 Or 11 + 11 + 11 + 11 = 44
The fifth multiple of 11 is: 11 × 5 = 55 Or 11 + 11 + 11 + 11 + 11 = 55
Multiples of 11 List
Go through the table given below to learn the first 20 multiples of 11 along with the multiplication notation in each case.
| Multiplication of 11 with numbers | 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 |
| 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 |
The above table is quite similar to the multiplication table of 11 since in both the cases the results are the same.
Multiples of 11 up to 1000
The list of multiples of 11 up to 1000 are:
| 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 242, 253, 264, 275, 286, 297, 308, 319, 330, 341, 352, 363, 374, 385, 396, 407, 418, 429, 440, 451, 462, 473, 484, 495, 506, 517, 528, 539, 550, 561, 572, 583, 594, 605, 616, 627, 638, 649, 660, 671, 682, 693, 704, 715, 726, 737, 748, 759, 770, 781, 792, 803, 814, 825, 836, 847, 858, 869, 880, 891, 902, 913, 924, 935, 946, 957, 968, 979, 990 |
What is a multiple and factor of 11?
There are some differences between multiples and factors of 11. The below table shows the major differences between those two.
| Multiples of 11 | Factors of 11 |
| Multiples of a number are the n-times of the given number. Thus, multiples of 11 are in the form of 11n, where n is a natural number. | Factors are the numbers which when multiplied together, produce the original number. |
| Multiples of 11 are 11, 22, 33, 44, 55, etc. | Factors of 11 are 1 and 11. |
However, a number contains infinite multiples, whereas the number of factors of a number is finite.
Video Lesson on Common Multiples
Get the Multiples of More Numbers Here
| Multiples of 2 | Multiples of 3 | Multiples of 4 |
| Multiples of 5 | Multiples of 6 | Multiples of 7 |
| Multiples of 8 | Multiples of 9 | Multiples of 15 |
Examples
Example 1:
Write the multiples of 11 less than 100.
Solution:
The multiples of 11 less than 100 are 11, 22, 33, 44, 55, 66, 77, 88, and 99. These are the first 9 multiples of 11.
Example 2:
What are the first 5 multiples of 11?
Solution:
The first 5 multiples of 11 are:
11 × 1 = 11
11 × 2 = 22
11 × 3 = 33
11 × 4 = 44
11 × 5 = 55
Therefore, the required multiples of 11 are 11, 22, 33, 44 and 55.
Frequently Asked Questions on Multiples of 11
How do you find multiples of 11?
Multiples of 11 can be found by multiplying 11 by natural numbers such as 1, 2, 3, 4, etc. As the natural numbers are infinite, the multiples of any number are also infinite. Some of the multiples of 11 can be written as:
11 × 1 = 11
11 × 2 = 22
11 × 3 = 33
11 × 4 = 44 and so on.
What are the first 6 multiples of 11?
The first 6 multiples of 11 are 11, 22, 33, 44, 55 and 66. These can be expressed as:
11 × 1 = 11
11 × 2 = 22
11 × 3 = 33
11 × 4 = 44
11 × 5 = 55
11 × 6 = 66
What are the factors of 11?
The factors of 11 are 1 and 11 since 11 is a prime number it has only two factors, i.e. one and the number itself.
What are the first 10 multiples of 11?
The first 10 multiples of 11 are 11, 22, 33, 44, 55, 66, 77, 88, 99, and 110.
Write the multiples of 11 up to 200.
The multiples of 11 up to 200 are 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, and 198.
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