Multiples of 100
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, 300 can be divided by 3 without a reminder. Like this, 300 is a multiple of 100 because 3 times 100 equals 300. In other words, we can say that 300 is a multiple of 3 because there is a natural - 3 - which multiplied by 100 equals 300. The statement '300 is a multiple of 3' is equivalent to '300 is divisible by 3', or that 3 is a divider of 300.
So, to find the multiples of 100, 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 100:
- 100 x 0 = 0, so 0 is a multiple of 100.
- 100 x 1 = 100, so 100 is a multiple of 100.
- 100 x 2 = 200, so 200 is a multiple of 100.
- 100 x 3 = 300, so 300 is a multiple of 100.
- 100 x 4 = 400, so 400 is a multiple of 100.
- 100 x 5 = 500, so 500 is a multiple of 100.
- 100 x 6 = 600, so 600 is a multiple of 100.
- 100 x 7 = 700, so 700 is a multiple of 100.
- 100 x 8 = 800, so 800 is a multiple of 100.
- 100 x 9 = 900, so 900 is a multiple of 100.
The first 10 multiples of 100 are: 0, 100, 200, 300, 400, 500, 600, 700, 800, 900.
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 100 is represented as M 100 = {0, 100,200,300,400, ...}.
Common Multiples
If two numbers are multiplied, then the product is a common multiple of these two numbers.
Example: if two numbers, 100 and 3, are multiplied, then the result, 300, is a common multiple of 100 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