What are the first 100 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.
105 x 50 = 5250, so 5250 is a multiple of 105.
105 x 51 = 5355, so 5355 is a multiple of 105.
105 x 52 = 5460, so 5460 is a multiple of 105.
105 x 53 = 5565, so 5565 is a multiple of 105.
105 x 54 = 5670, so 5670 is a multiple of 105.
105 x 55 = 5775, so 5775 is a multiple of 105.
105 x 56 = 5880, so 5880 is a multiple of 105.
105 x 57 = 5985, so 5985 is a multiple of 105.
105 x 58 = 6090, so 6090 is a multiple of 105.
105 x 59 = 6195, so 6195 is a multiple of 105.
105 x 60 = 6300, so 6300 is a multiple of 105.
105 x 61 = 6405, so 6405 is a multiple of 105.
105 x 62 = 6510, so 6510 is a multiple of 105.
105 x 63 = 6615, so 6615 is a multiple of 105.
105 x 64 = 6720, so 6720 is a multiple of 105.
105 x 65 = 6825, so 6825 is a multiple of 105.
105 x 66 = 6930, so 6930 is a multiple of 105.
105 x 67 = 7035, so 7035 is a multiple of 105.
105 x 68 = 7140, so 7140 is a multiple of 105.
105 x 69 = 7245, so 7245 is a multiple of 105.
105 x 70 = 7350, so 7350 is a multiple of 105.
105 x 71 = 7455, so 7455 is a multiple of 105.
105 x 72 = 7560, so 7560 is a multiple of 105.
105 x 73 = 7665, so 7665 is a multiple of 105.
105 x 74 = 7770, so 7770 is a multiple of 105.
105 x 75 = 7875, so 7875 is a multiple of 105.
105 x 76 = 7980, so 7980 is a multiple of 105.
105 x 77 = 8085, so 8085 is a multiple of 105.
105 x 78 = 8190, so 8190 is a multiple of 105.
105 x 79 = 8295, so 8295 is a multiple of 105.
105 x 80 = 8400, so 8400 is a multiple of 105.
105 x 81 = 8505, so 8505 is a multiple of 105.
105 x 82 = 8610, so 8610 is a multiple of 105.
105 x 83 = 8715, so 8715 is a multiple of 105.
105 x 84 = 8820, so 8820 is a multiple of 105.
105 x 85 = 8925, so 8925 is a multiple of 105.
105 x 86 = 9030, so 9030 is a multiple of 105.
105 x 87 = 9135, so 9135 is a multiple of 105.
105 x 88 = 9240, so 9240 is a multiple of 105.
105 x 89 = 9345, so 9345 is a multiple of 105.
105 x 90 = 9450, so 9450 is a multiple of 105.
105 x 91 = 9555, so 9555 is a multiple of 105.
105 x 92 = 9660, so 9660 is a multiple of 105.
105 x 93 = 9765, so 9765 is a multiple of 105.
105 x 94 = 9870, so 9870 is a multiple of 105.
105 x 95 = 9975, so 9975 is a multiple of 105.
105 x 96 = 10080, so 10080 is a multiple of 105.
105 x 97 = 10185, so 10185 is a multiple of 105.
105 x 98 = 10290, so 10290 is a multiple of 105.
105 x 99 = 10395, so 10395 is a multiple of 105.

The first 100 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, 5250, 5355, 5460, 5565, 5670, 5775, 5880, 5985, 6090, 6195, 6300, 6405, 6510, 6615, 6720, 6825, 6930, 7035, 7140, 7245, 7350, 7455, 7560, 7665, 7770, 7875, 7980, 8085, 8190, 8295, 8400, 8505, 8610, 8715, 8820, 8925, 9030, 9135, 9240, 9345, 9450, 9555, 9660, 9765, 9870, 9975, 10080, 10185, 10290, 10395.

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.

_{105 = {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

References:

Múltiplos e Divisores - atractor.pt

What are the first 100 multiples of 105

Multiples Calculator

What is a multiple in math?

Facts About Multiples

Common Multiples

Multiples Table

References:

Multiples Examples

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