What are the first 50 multiples of 105
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, 315 can be divided by 3 without a reminder. Like this, 315 is a multiple of 105 because 3 times 105 equals 315. In other words, we can say that 315 is a multiple of 3 because there is a natural - 3 - which multiplied by 105 equals 315. The statement '315 is a multiple of 3' is equivalent to '315 is divisible by 3', or that 3 is a divider of 315.
So, to find the multiples of 105, 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 105:
- 105 x 0 = 0, so 0 is a multiple of 105.
- 105 x 1 = 105, so 105 is a multiple of 105.
- 105 x 2 = 210, so 210 is a multiple of 105.
- 105 x 3 = 315, so 315 is a multiple of 105.
- 105 x 4 = 420, so 420 is a multiple of 105.
- 105 x 5 = 525, so 525 is a multiple of 105.
- 105 x 6 = 630, so 630 is a multiple of 105.
- 105 x 7 = 735, so 735 is a multiple of 105.
- 105 x 8 = 840, so 840 is a multiple of 105.
- 105 x 9 = 945, so 945 is a multiple of 105.
- 105 x 10 = 1050, so 1050 is a multiple of 105.
- 105 x 11 = 1155, so 1155 is a multiple of 105.
- 105 x 12 = 1260, so 1260 is a multiple of 105.
- 105 x 13 = 1365, so 1365 is a multiple of 105.
- 105 x 14 = 1470, so 1470 is a multiple of 105.
- 105 x 15 = 1575, so 1575 is a multiple of 105.
- 105 x 16 = 1680, so 1680 is a multiple of 105.
- 105 x 17 = 1785, so 1785 is a multiple of 105.
- 105 x 18 = 1890, so 1890 is a multiple of 105.
- 105 x 19 = 1995, so 1995 is a multiple of 105.
- 105 x 20 = 2100, so 2100 is a multiple of 105.
- 105 x 21 = 2205, so 2205 is a multiple of 105.
- 105 x 22 = 2310, so 2310 is a multiple of 105.
- 105 x 23 = 2415, so 2415 is a multiple of 105.
- 105 x 24 = 2520, so 2520 is a multiple of 105.
- 105 x 25 = 2625, so 2625 is a multiple of 105.
- 105 x 26 = 2730, so 2730 is a multiple of 105.
- 105 x 27 = 2835, so 2835 is a multiple of 105.
- 105 x 28 = 2940, so 2940 is a multiple of 105.
- 105 x 29 = 3045, so 3045 is a multiple of 105.
- 105 x 30 = 3150, so 3150 is a multiple of 105.
- 105 x 31 = 3255, so 3255 is a multiple of 105.
- 105 x 32 = 3360, so 3360 is a multiple of 105.
- 105 x 33 = 3465, so 3465 is a multiple of 105.
- 105 x 34 = 3570, so 3570 is a multiple of 105.
- 105 x 35 = 3675, so 3675 is a multiple of 105.
- 105 x 36 = 3780, so 3780 is a multiple of 105.
- 105 x 37 = 3885, so 3885 is a multiple of 105.
- 105 x 38 = 3990, so 3990 is a multiple of 105.
- 105 x 39 = 4095, so 4095 is a multiple of 105.
- 105 x 40 = 4200, so 4200 is a multiple of 105.
- 105 x 41 = 4305, so 4305 is a multiple of 105.
- 105 x 42 = 4410, so 4410 is a multiple of 105.
- 105 x 43 = 4515, so 4515 is a multiple of 105.
- 105 x 44 = 4620, so 4620 is a multiple of 105.
- 105 x 45 = 4725, so 4725 is a multiple of 105.
- 105 x 46 = 4830, so 4830 is a multiple of 105.
- 105 x 47 = 4935, so 4935 is a multiple of 105.
- 105 x 48 = 5040, so 5040 is a multiple of 105.
- 105 x 49 = 5145, so 5145 is a multiple of 105.
The first 50 multiples of 105 are: 0, 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365, 1470, 1575, 1680, 1785, 1890, 1995, 2100, 2205, 2310, 2415, 2520, 2625, 2730, 2835, 2940, 3045, 3150, 3255, 3360, 3465, 3570, 3675, 3780, 3885, 3990, 4095, 4200, 4305, 4410, 4515, 4620, 4725, 4830, 4935, 5040, 5145.
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 105 is represented as M 105 Sub> = {0, 105,210,315,420, ...}.
Common Multiples
If two numbers are multiplied, then the product is a common multiple of these two numbers.
Example: if two numbers, 105 and 3, are multiplied, then the result, 315, is a common multiple of 105 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