What are the first 20 multiples of 60
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 180 can be divided by 3 without a reminder. Like this, 180 is a multiple of 60, because, 3 times 60 equals 180. In other words, we can say that 180 is a multiple of 3 because there is a natural - 3 - which multiplied by 60 equals 180. The statement '180 is a multiple of 3' is equivalent '180 is divisible by 3', or that 3 is a divider of 180.
So to find the multiples of 60, 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 60:
- 60 x 0 = 0 so, 0 is a multiple of 60.
- 60 x 1 = 60 so, 60 is a multiple of 60.
- 60 x 2 = 120 so, 120 is a multiple of 60.
- 60 x 3 = 180 so, 180 is a multiple of 60.
- 60 x 4 = 240 so, 240 is a multiple of 60.
- 60 x 5 = 300 so, 300 is a multiple of 60.
- 60 x 6 = 360 so, 360 is a multiple of 60.
- 60 x 7 = 420 so, 420 is a multiple of 60.
- 60 x 8 = 480 so, 480 is a multiple of 60.
- 60 x 9 = 540 so, 540 is a multiple of 60.
- 60 x 10 = 600 so, 600 is a multiple of 60.
- 60 x 11 = 660 so, 660 is a multiple of 60.
- 60 x 12 = 720 so, 720 is a multiple of 60.
- 60 x 13 = 780 so, 780 is a multiple of 60.
- 60 x 14 = 840 so, 840 is a multiple of 60.
- 60 x 15 = 900 so, 900 is a multiple of 60.
- 60 x 16 = 960 so, 960 is a multiple of 60.
- 60 x 17 = 1020 so, 1020 is a multiple of 60.
- 60 x 18 = 1080 so, 1080 is a multiple of 60.
- 60 x 19 = 1140 so, 1140 is a multiple of 60.
The first 20 multiples of 60 are: 0, 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140.
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 60 is represented as M 60 = {0, 60,120,180,240, ...}.
Common Multiples
If two numbers are multiplied, then the product is a common multiple of these two numbers.
Example: if two numbers 60 and 3 are multiplied, then the result 180 is a common multiple of 60 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