What are the first 20 multiples of 111
What is a multiple in math?
The multiple of a number is the product of this number by any other number (0, 1, 2, 3, ...).
Our calculator works on the set of natural numbers, but there are multiples in the set of numbers, integers, real, etc. Therefore, a multiple can also be negative.
For example, the number 333 can be divided by 3 without a reminder. Like this, 333 is a multiple of 111, because, 3 times 111 equals 333. In other words, we can say that 333 is a multiple of 3 because there is a natural - 3 - which multiplied by 111 equals 333. The statement '333 is a multiple of 3' is equivalent '333 is divisible by 3', or that 3 is a divider of 333.
So to find the multiples of 111, simply multiply this number by a number of the set of natural numbers as many times as we want. See below how to do it for the number 111:
- 111 x 0 = 0 so, 0 is a multiple of 111.
- 111 x 1 = 111 so, 111 is a multiple of 111.
- 111 x 2 = 222 so, 222 is a multiple of 111.
- 111 x 3 = 333 so, 333 is a multiple of 111.
- 111 x 4 = 444 so, 444 is a multiple of 111.
- 111 x 5 = 555 so, 555 is a multiple of 111.
- 111 x 6 = 666 so, 666 is a multiple of 111.
- 111 x 7 = 777 so, 777 is a multiple of 111.
- 111 x 8 = 888 so, 888 is a multiple of 111.
- 111 x 9 = 999 so, 999 is a multiple of 111.
- 111 x 10 = 1110 so, 1110 is a multiple of 111.
- 111 x 11 = 1221 so, 1221 is a multiple of 111.
- 111 x 12 = 1332 so, 1332 is a multiple of 111.
- 111 x 13 = 1443 so, 1443 is a multiple of 111.
- 111 x 14 = 1554 so, 1554 is a multiple of 111.
- 111 x 15 = 1665 so, 1665 is a multiple of 111.
- 111 x 16 = 1776 so, 1776 is a multiple of 111.
- 111 x 17 = 1887 so, 1887 is a multiple of 111.
- 111 x 18 = 1998 so, 1998 is a multiple of 111.
- 111 x 19 = 2109 so, 2109 is a multiple of 111.
The first 20 multiples of 111 are: 0, 111, 222, 333, 444, 555, 666, 777, 888, 999, 1110, 1221, 1332, 1443, 1554, 1665, 1776, 1887, 1998, 2109.
Facts About Multiples
- Any number is a multiple of itself (n x 1 = n).
- Any number is a multiple of 1 (1 x n = n).
- Zero is a multiple of any number (0 x n = 0).
- The set of multiples of a number is an infinite set, since we can get this by multiplying the number given by all natural numbers. The set of multiples of n can be represented by M n = {0 x n, 1 x n, 2 x n, 3 x n, 4 x n, ...} (where n is any natural). For example, the set of multiples of 111 is represented as M 111 = {0, 111,222,333,444, ...}.
Common Multiples
If two numbers are multiplied, then the product is a common multiple of these two numbers.
Example: if two numbers 111 and 3 are multiplied, then the result 333 is a common multiple of 111 and 3.
Note: The product of these two numbers is not necessarily the least common multiple-LCM of these numbers.
Multiples Table
- 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
- 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
- 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60
- 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80
- 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
- 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120
- 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140
- 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160
- 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180
- 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
- 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220
- 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240
- 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260
- 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280
- 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300