Multiples of 90
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, 270 can be divided by 3 without a reminder. Like this, 270 is a multiple of 90 because 3 times 90 equals 270. In other words, we can say that 270 is a multiple of 3 because there is a natural - 3 - which multiplied by 90 equals 270. The statement '270 is a multiple of 3' is equivalent to '270 is divisible by 3', or that 3 is a divider of 270.
So, to find the multiples of 90, 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 90:
- 90 x 0 = 0, so 0 is a multiple of 90.
- 90 x 1 = 90, so 90 is a multiple of 90.
- 90 x 2 = 180, so 180 is a multiple of 90.
- 90 x 3 = 270, so 270 is a multiple of 90.
- 90 x 4 = 360, so 360 is a multiple of 90.
- 90 x 5 = 450, so 450 is a multiple of 90.
- 90 x 6 = 540, so 540 is a multiple of 90.
- 90 x 7 = 630, so 630 is a multiple of 90.
- 90 x 8 = 720, so 720 is a multiple of 90.
- 90 x 9 = 810, so 810 is a multiple of 90.
The first 10 multiples of 90 are: 0, 90, 180, 270, 360, 450, 540, 630, 720, 810.
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 90 is represented as M 90 = {0, 90,180,270,360, ...}.
Common Multiples
If two numbers are multiplied, then the product is a common multiple of these two numbers.
Example: if two numbers, 90 and 3, are multiplied, then the result, 270, is a common multiple of 90 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