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Multiples

What Are the Multiples of 11? | All Multiples of 11 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

What Are the Multiples of 11? | All Multiples of 11 up to 1000

What Are the Multiples of 11? | All Multiples of 11 up to 1000

Multiples of 11: The multiples of 11 can be termed as the list of numbers that are completely divisible by the number 11.

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

In this article, you can get a clear idea of what are the multiples of 11, how to calculate them using the multiplication and repeated addition method, a list of multiples up to 1000, and a few solved examples related to the multiples of 11. Scroll down to find out more!

What Are the Multiples of 11?

The multiples of 11 are the list of numbers that can be completely divisible by 11, meaning the remainder will be zero. The multiples of 11 can be calculated by multiplying 11 with a sequence of numbers like 1, 2, 3, 4, etc. In the table shown below, you see that 9 is getting multiplied repeatedly with a sequence of numbers from 1 to 10. The results obtained are termed as the multiples of 11.

Multiples of 11
Multiples of 11
First 10 Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

How To Find Multiples of 11?

To find multiples of the number 11, we have to do repeated addition of the number 11 or multiply the number 11 with a sequence of natural numbers. The steps to find 11 multiples using the repeated addition and multiplication method are given below:

11 Multiples with Addition Method11 Multiples with Division Method
1111 X 1 = 11
11 + 11 = 2211 X 2 = 22
22 + 11 = 3311 X 3 = 33
32 + 11 = 4411 X 4 = 44
44 + 11 = 5511 X 5 = 55

Finding First 20 Multiples of 11 Using Multiplication Method

In the below table, we have shown the first 20 multiples of 11:

Step 1: To calculate the first 20 multiples of 11, first create a table with the sequence of numbers from 1 to 20.
Step 2: Now, using the repeated multiplication method, multiply 11 with the sequence of numbers from 1 to 20, as shown in the table below:

Multiply 11 by the numbers 1 to 20Multiples of 11
11 x 111
11 x 222
11 x 333
11 x 444
11 x 555
11 x 666
11 x 777
11 x 888
11 x 999
11 x 10110
11 x 11121
11 x 12132
11 x 13143
11 x 14154
11 x 15165
11 x 16176
11 x 17187
11 x 18198
11 x 19209
11 x 20220
First 20 Multiples of 11

What Are the Multiples of 11 up to 1000?

The 11 multiples up to 1000 are given below:

112233445566778899110
121132143154165176187198209220
231242253264275286297308319330
341352363374385396407418429440
451462473484495506517528539550
561572583594605616627638649660
671682693704715726737748759770
781792803814825836847858869880
891902913924935946957968979990

Properties of Multiples of 11

Here are some properties of 11 multiples to keep in mind:

  • When the number 11 gets multiplied by a single number, the product is written twice the natural number.
  • All the multiples of 11 are greater than or equal to the number 11.
  • A number that is divisible by 11, is the sum of numbers in odd places
  • There are an infinite number of multiples of the number 11.

Difference Between Multiples and Factors 11

The difference between multiples and factors of 11 can be summed up as:

  • Multiples of 11 are the list of natural numbers that when divided by 11 leave zero as their remainder. Alternatively, multiples of 11 are the numbers that are completely divisible by 11. The first 10 multiples of 11 are 11, 22, 33, 44, 55, 66, 77, 88, 99, and 110.
  • Whereas, factors of 11 are the numbers which when multiples together produce 11 as their product. The factors of 11 are 1 and 11.

Solved Examples on Multiples of 11

Here are some solved examples for students:

Q 1: What are the multiples of 11 between 20 and 150?
A 1: There are a total of 14 multiples for the number 11 between 20 and 150.
And the numbers between 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, and 143 are the 14 multiples between 20 and 150.

Q 2: How do you find multiples of 11?
A 2: To find multiples of 11, you will have to multiply the number 11 with a sequence of natural numbers. Alternatively, using the repeated addition method, you can find multiples of 11.

Q 3: What are the first 6 multiples of 11?
A 3:
11, 22, 33, 44, 55, and 66 are the first 6 multiples of 11.
11 x 1 = 11
11 x 2 = 22
11 x 3 = 33
11 x 4 = 44
11 x 5 = 55
11 x 6 = 66

Q 4: What is the sum of the first 5 multiples of 11?
A 4: the first 5 multitudes of 11 are: 11, 22, 33, 44, and 55.
11 + 22 + 33 + 44 + 55 = 165
So, 165 is the sum of the first 5 multitudes of 11.

Q 5: What are the odd multiples of 11?
A 5: Some of the odd multiples of 11 are 11, 33, 55, 77, 99, 121, 143, 165, 187, 209, 231, 253, 275, 297, 319, etc.

Q 6: Is 165 a multiple of 11 yes, or no?
A 6:
yes, it is an 11 multiple.
As 11 x 15 = 165.

Q 7: Is 72 a multiple of 11 yes, or no?
A 7: 
No, since after dividing 72 by 11 left 6 as the remainder.

Q 8: What are multiples of 11 to 100?
A 8:
The multiples of 11 less than 100 are 11, 22, 33, 44, 55, 66, 77, 88, and 99.

Q 9: What are multiples of 11 that are less than 270?
A 9: 
11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 242, 253, and 264 are the 11 multitudes that are less than 270.

Q 10: What are the even multiples of 11?
A 10:
Some of the even multiples of 11 are 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, etc.

FAQs on Multiples of 11

What are 5 multiples of 11?
11, 22, 33, 44, and 55 are the 5 multiples of 11

What are the multiples of 11 up to 100?
The multiples of 11 up to 100 are 11, 22, 33, 44, 55, 66, 77, 88, and 99.

What are the first three multiples of 11?
The first three multiples of 11 are 11, 22, and 33.

What are the multiples of 11 up to 500?
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, and 495 are the multiples of 11 up to 500.

What are all the multiples of 11?
As there are an infinite number of natural numbers that can be multiplied by 11, so the multiples of 11 can be infinite. Some of the multiples of 11 are 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, and 165.

What are the multiples of 11 up to 80?
11, 22, 33, 44, 55, 66, and 77 are the 11 multiples up to 80.

Are the multiples of 11 always even?
Some are even and some are not when it comes to 11 multiples.

The sum of three consecutive multiples of 11 is 363. Find the three numbers.
The sum of three consecutive multiples of 11 that make 363 is 110, 121, and 132.
11 x 11 = 110
11 x 12 = 121
11 x 13 = 132.

What are the common multiples of 11 and 3?
The common multiples of 11 and 3 are 33.

How many multiples of 11 are there between 100 and 500?
There are a total of 36 multiples of 11 between 100 and 500.

What are the common multiples of 3 and 11 between 1 and 100?
Multiples of 3 between 1 to 100: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, and 99.
Multiples of 11 between 1 to 100: 11, 22, 33, 44, 55, 66, 77, 88, and 99.
Hence, common multiples of 3 and 11 between 1 and 100: 33, 66, and 99.

What is the least common multiple of 14, 11, and 3?
Multiples of 14: 14,28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, and 462.
Multiples of 11: 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, and 462.
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102 105 108 111 114 117 120 123 126 129 132 135 138 141 144 147 150 153 156 159 162 165 168 171 174 177 180 183 186 189 192 195 198 201 204 207 210 213 216 219 222 225 228 231 234 237 240 243 246 249 252 255 258 261 264 267 270 273 276 279 282 285 288 291 294 297 300 303 306 309 312 315 318 321 324 327 330 333 336 339 342 345 348 351 354 357 360 363 366 369 372 375 378 381 384 387 390 393 396 399 402 405 408 411 414 417 420 423 426.
Hence, the least common multiple of 14, 11, and 3 is 426.

We hope this article on Multiples of 11 is helpful to you.

Written by

Prerit Jain

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