Multiples of 23
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, 69 can be divided by 3 without a reminder. Like this, 69 is a multiple of 23 because 3 times 23 equals 69. In other words, we can say that 69 is a multiple of 3 because there is a natural - 3 - which multiplied by 23 equals 69. The statement '69 is a multiple of 3' is equivalent to '69 is divisible by 3', or that 3 is a divider of 69.
So, to find the multiples of 23, 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 23:
- 23 x 0 = 0, so 0 is a multiple of 23.
- 23 x 1 = 23, so 23 is a multiple of 23.
- 23 x 2 = 46, so 46 is a multiple of 23.
- 23 x 3 = 69, so 69 is a multiple of 23.
- 23 x 4 = 92, so 92 is a multiple of 23.
- 23 x 5 = 115, so 115 is a multiple of 23.
- 23 x 6 = 138, so 138 is a multiple of 23.
- 23 x 7 = 161, so 161 is a multiple of 23.
- 23 x 8 = 184, so 184 is a multiple of 23.
- 23 x 9 = 207, so 207 is a multiple of 23.
The first 10 multiples of 23 are: 0, 23, 46, 69, 92, 115, 138, 161, 184, 207.
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 the 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 23 is represented as M 23 = {0, 23,46,69,92, ...}.
Common Multiples
If two numbers are multiplied, then the product is a common multiple of these two numbers.
Example: if two numbers, 23 and 3, are multiplied, then the result, 69, is a common multiple of 23 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