What are the first 20 multiples of 37
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 111 can be divided by 3 without a reminder. Like this, 111 is a multiple of 37, because, 3 times 37 equals 111. In other words, we can say that 111 is a multiple of 3 because there is a natural - 3 - which multiplied by 37 equals 111. The statement '111 is a multiple of 3' is equivalent '111 is divisible by 3', or that 3 is a divider of 111.
So to find the multiples of 37, 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 37:
- 37 x 0 = 0 so, 0 is a multiple of 37.
- 37 x 1 = 37 so, 37 is a multiple of 37.
- 37 x 2 = 74 so, 74 is a multiple of 37.
- 37 x 3 = 111 so, 111 is a multiple of 37.
- 37 x 4 = 148 so, 148 is a multiple of 37.
- 37 x 5 = 185 so, 185 is a multiple of 37.
- 37 x 6 = 222 so, 222 is a multiple of 37.
- 37 x 7 = 259 so, 259 is a multiple of 37.
- 37 x 8 = 296 so, 296 is a multiple of 37.
- 37 x 9 = 333 so, 333 is a multiple of 37.
- 37 x 10 = 370 so, 370 is a multiple of 37.
- 37 x 11 = 407 so, 407 is a multiple of 37.
- 37 x 12 = 444 so, 444 is a multiple of 37.
- 37 x 13 = 481 so, 481 is a multiple of 37.
- 37 x 14 = 518 so, 518 is a multiple of 37.
- 37 x 15 = 555 so, 555 is a multiple of 37.
- 37 x 16 = 592 so, 592 is a multiple of 37.
- 37 x 17 = 629 so, 629 is a multiple of 37.
- 37 x 18 = 666 so, 666 is a multiple of 37.
- 37 x 19 = 703 so, 703 is a multiple of 37.
The first 20 multiples of 37 are: 0, 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703.
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 37 is represented as M 37 = {0, 37,74,111,148, ...}.
Common Multiples
If two numbers are multiplied, then the product is a common multiple of these two numbers.
Example: if two numbers 37 and 3 are multiplied, then the result 111 is a common multiple of 37 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