What are the first 100 multiples of 15
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, 45 can be divided by 3 without a reminder. Like this, 45 is a multiple of 15 because 3 times 15 equals 45. In other words, we can say that 45 is a multiple of 3 because there is a natural - 3 - which multiplied by 15 equals 45. The statement '45 is a multiple of 3' is equivalent to '45 is divisible by 3', or that 3 is a divider of 45.
So, to find the multiples of 15, 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 15:
- 15 x 0 = 0, so 0 is a multiple of 15.
- 15 x 1 = 15, so 15 is a multiple of 15.
- 15 x 2 = 30, so 30 is a multiple of 15.
- 15 x 3 = 45, so 45 is a multiple of 15.
- 15 x 4 = 60, so 60 is a multiple of 15.
- 15 x 5 = 75, so 75 is a multiple of 15.
- 15 x 6 = 90, so 90 is a multiple of 15.
- 15 x 7 = 105, so 105 is a multiple of 15.
- 15 x 8 = 120, so 120 is a multiple of 15.
- 15 x 9 = 135, so 135 is a multiple of 15.
- 15 x 10 = 150, so 150 is a multiple of 15.
- 15 x 11 = 165, so 165 is a multiple of 15.
- 15 x 12 = 180, so 180 is a multiple of 15.
- 15 x 13 = 195, so 195 is a multiple of 15.
- 15 x 14 = 210, so 210 is a multiple of 15.
- 15 x 15 = 225, so 225 is a multiple of 15.
- 15 x 16 = 240, so 240 is a multiple of 15.
- 15 x 17 = 255, so 255 is a multiple of 15.
- 15 x 18 = 270, so 270 is a multiple of 15.
- 15 x 19 = 285, so 285 is a multiple of 15.
- 15 x 20 = 300, so 300 is a multiple of 15.
- 15 x 21 = 315, so 315 is a multiple of 15.
- 15 x 22 = 330, so 330 is a multiple of 15.
- 15 x 23 = 345, so 345 is a multiple of 15.
- 15 x 24 = 360, so 360 is a multiple of 15.
- 15 x 25 = 375, so 375 is a multiple of 15.
- 15 x 26 = 390, so 390 is a multiple of 15.
- 15 x 27 = 405, so 405 is a multiple of 15.
- 15 x 28 = 420, so 420 is a multiple of 15.
- 15 x 29 = 435, so 435 is a multiple of 15.
- 15 x 30 = 450, so 450 is a multiple of 15.
- 15 x 31 = 465, so 465 is a multiple of 15.
- 15 x 32 = 480, so 480 is a multiple of 15.
- 15 x 33 = 495, so 495 is a multiple of 15.
- 15 x 34 = 510, so 510 is a multiple of 15.
- 15 x 35 = 525, so 525 is a multiple of 15.
- 15 x 36 = 540, so 540 is a multiple of 15.
- 15 x 37 = 555, so 555 is a multiple of 15.
- 15 x 38 = 570, so 570 is a multiple of 15.
- 15 x 39 = 585, so 585 is a multiple of 15.
- 15 x 40 = 600, so 600 is a multiple of 15.
- 15 x 41 = 615, so 615 is a multiple of 15.
- 15 x 42 = 630, so 630 is a multiple of 15.
- 15 x 43 = 645, so 645 is a multiple of 15.
- 15 x 44 = 660, so 660 is a multiple of 15.
- 15 x 45 = 675, so 675 is a multiple of 15.
- 15 x 46 = 690, so 690 is a multiple of 15.
- 15 x 47 = 705, so 705 is a multiple of 15.
- 15 x 48 = 720, so 720 is a multiple of 15.
- 15 x 49 = 735, so 735 is a multiple of 15.
- 15 x 50 = 750, so 750 is a multiple of 15.
- 15 x 51 = 765, so 765 is a multiple of 15.
- 15 x 52 = 780, so 780 is a multiple of 15.
- 15 x 53 = 795, so 795 is a multiple of 15.
- 15 x 54 = 810, so 810 is a multiple of 15.
- 15 x 55 = 825, so 825 is a multiple of 15.
- 15 x 56 = 840, so 840 is a multiple of 15.
- 15 x 57 = 855, so 855 is a multiple of 15.
- 15 x 58 = 870, so 870 is a multiple of 15.
- 15 x 59 = 885, so 885 is a multiple of 15.
- 15 x 60 = 900, so 900 is a multiple of 15.
- 15 x 61 = 915, so 915 is a multiple of 15.
- 15 x 62 = 930, so 930 is a multiple of 15.
- 15 x 63 = 945, so 945 is a multiple of 15.
- 15 x 64 = 960, so 960 is a multiple of 15.
- 15 x 65 = 975, so 975 is a multiple of 15.
- 15 x 66 = 990, so 990 is a multiple of 15.
- 15 x 67 = 1005, so 1005 is a multiple of 15.
- 15 x 68 = 1020, so 1020 is a multiple of 15.
- 15 x 69 = 1035, so 1035 is a multiple of 15.
- 15 x 70 = 1050, so 1050 is a multiple of 15.
- 15 x 71 = 1065, so 1065 is a multiple of 15.
- 15 x 72 = 1080, so 1080 is a multiple of 15.
- 15 x 73 = 1095, so 1095 is a multiple of 15.
- 15 x 74 = 1110, so 1110 is a multiple of 15.
- 15 x 75 = 1125, so 1125 is a multiple of 15.
- 15 x 76 = 1140, so 1140 is a multiple of 15.
- 15 x 77 = 1155, so 1155 is a multiple of 15.
- 15 x 78 = 1170, so 1170 is a multiple of 15.
- 15 x 79 = 1185, so 1185 is a multiple of 15.
- 15 x 80 = 1200, so 1200 is a multiple of 15.
- 15 x 81 = 1215, so 1215 is a multiple of 15.
- 15 x 82 = 1230, so 1230 is a multiple of 15.
- 15 x 83 = 1245, so 1245 is a multiple of 15.
- 15 x 84 = 1260, so 1260 is a multiple of 15.
- 15 x 85 = 1275, so 1275 is a multiple of 15.
- 15 x 86 = 1290, so 1290 is a multiple of 15.
- 15 x 87 = 1305, so 1305 is a multiple of 15.
- 15 x 88 = 1320, so 1320 is a multiple of 15.
- 15 x 89 = 1335, so 1335 is a multiple of 15.
- 15 x 90 = 1350, so 1350 is a multiple of 15.
- 15 x 91 = 1365, so 1365 is a multiple of 15.
- 15 x 92 = 1380, so 1380 is a multiple of 15.
- 15 x 93 = 1395, so 1395 is a multiple of 15.
- 15 x 94 = 1410, so 1410 is a multiple of 15.
- 15 x 95 = 1425, so 1425 is a multiple of 15.
- 15 x 96 = 1440, so 1440 is a multiple of 15.
- 15 x 97 = 1455, so 1455 is a multiple of 15.
- 15 x 98 = 1470, so 1470 is a multiple of 15.
- 15 x 99 = 1485, so 1485 is a multiple of 15.
The first 100 multiples of 15 are: 0, 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990, 1005, 1020, 1035, 1050, 1065, 1080, 1095, 1110, 1125, 1140, 1155, 1170, 1185, 1200, 1215, 1230, 1245, 1260, 1275, 1290, 1305, 1320, 1335, 1350, 1365, 1380, 1395, 1410, 1425, 1440, 1455, 1470, 1485.
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 15 is represented as M 15 Sub> = {0, 15,30,45,60, ...}.
Common Multiples
If two numbers are multiplied, then the product is a common multiple of these two numbers.
Example: if two numbers, 15 and 3, are multiplied, then the result, 45, is a common multiple of 15 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