What are the numbers divisible by 123?

123, 246, 369, 492, 615, 738, 861, 984, 1107, 1230, 1353, 1476, 1599, 1722, 1845, 1968, 2091, 2214, 2337, 2460, 2583, 2706, 2829, 2952, 3075, 3198, 3321, 3444, 3567, 3690, 3813, 3936, 4059, 4182, 4305, 4428, 4551, 4674, 4797, 4920, 5043, 5166, 5289, 5412, 5535, 5658, 5781, 5904, 6027, 6150, 6273, 6396, 6519, 6642, 6765, 6888, 7011, 7134, 7257, 7380, 7503, 7626, 7749, 7872, 7995, 8118, 8241, 8364, 8487, 8610, 8733, 8856, 8979, 9102, 9225, 9348, 9471, 9594, 9717, 9840, 9963, 10086, 10209, 10332, 10455, 10578, 10701, 10824, 10947, 11070, 11193, 11316, 11439, 11562, 11685, 11808, 11931, 12054, 12177, 12300, 12423, 12546, 12669, 12792, 12915, 13038, 13161, 13284, 13407, 13530, 13653, 13776, 13899, 14022, 14145, 14268, 14391, 14514, 14637, 14760, 14883, 15006, 15129, 15252, 15375, 15498, 15621, 15744, 15867, 15990, 16113, 16236, 16359, 16482, 16605, 16728, 16851, 16974, 17097, 17220, 17343, 17466, 17589, 17712, 17835, 17958, 18081, 18204, 18327, 18450, 18573, 18696, 18819, 18942, 19065, 19188, 19311, 19434, 19557, 19680, 19803, 19926, 20049, 20172, 20295, 20418, 20541, 20664, 20787, 20910, 21033, 21156, 21279, 21402, 21525, 21648, 21771, 21894, 22017, 22140, 22263, 22386, 22509, 22632, 22755, 22878, 23001, 23124, 23247, 23370, 23493, 23616, 23739, 23862, 23985, 24108, 24231, 24354, 24477, 24600, 24723, 24846, 24969, 25092, 25215, 25338, 25461, 25584, 25707, 25830, 25953, 26076, 26199, 26322, 26445, 26568, 26691, 26814, 26937, 27060, 27183, 27306, 27429, 27552, 27675, 27798, 27921, 28044, 28167, 28290, 28413, 28536, 28659, 28782, 28905, 29028, 29151, 29274, 29397, 29520, 29643, 29766, 29889, 30012, 30135, 30258, 30381, 30504, 30627, 30750, 30873, 30996, 31119, 31242, 31365, 31488, 31611, 31734, 31857, 31980, 32103, 32226, 32349, 32472, 32595, 32718, 32841, 32964, 33087, 33210, 33333, 33456, 33579, 33702, 33825, 33948, 34071, 34194, 34317, 34440, 34563, 34686, 34809, 34932, 35055, 35178, 35301, 35424, 35547, 35670, 35793, 35916, 36039, 36162, 36285, 36408, 36531, 36654, 36777, 36900, 37023, 37146, 37269, 37392, 37515, 37638, 37761, 37884, 38007, 38130, 38253, 38376, 38499, 38622, 38745, 38868, 38991, 39114, 39237, 39360, 39483, 39606, 39729, 39852, 39975, 40098, 40221, 40344, 40467, 40590, 40713, 40836, 40959, 41082, 41205, 41328, 41451, 41574, 41697, 41820, 41943, 42066, 42189, 42312, 42435, 42558, 42681, 42804, 42927, 43050, 43173, 43296, 43419, 43542, 43665, 43788, 43911, 44034, 44157, 44280, 44403, 44526, 44649, 44772, 44895, 45018, 45141, 45264, 45387, 45510, 45633, 45756, 45879, 46002, 46125, 46248, 46371, 46494, 46617, 46740, 46863, 46986, 47109, 47232, 47355, 47478, 47601, 47724, 47847, 47970, 48093, 48216, 48339, 48462, 48585, 48708, 48831, 48954, 49077, 49200, 49323, 49446, 49569, 49692, 49815, 49938, 50061, 50184, 50307, 50430, 50553, 50676, 50799, 50922, 51045, 51168, 51291, 51414, 51537, 51660, 51783, 51906, 52029, 52152, 52275, 52398, 52521, 52644, 52767, 52890, 53013, 53136, 53259, 53382, 53505, 53628, 53751, 53874, 53997, 54120, 54243, 54366, 54489, 54612, 54735, 54858, 54981, 55104, 55227, 55350, 55473, 55596, 55719, 55842, 55965, 56088, 56211, 56334, 56457, 56580, 56703, 56826, 56949, 57072, 57195, 57318, 57441, 57564, 57687, 57810, 57933, 58056, 58179, 58302, 58425, 58548, 58671, 58794, 58917, 59040, 59163, 59286, 59409, 59532, 59655, 59778, 59901, 60024, 60147, 60270, 60393, 60516, 60639, 60762, 60885, 61008, 61131, 61254, 61377, 61500, 61623, 61746, 61869, 61992, 62115, 62238, 62361, 62484, 62607, 62730, 62853, 62976, 63099, 63222, 63345, 63468, 63591, 63714, 63837, 63960, 64083, 64206, 64329, 64452, 64575, 64698, 64821, 64944, 65067, 65190, 65313, 65436, 65559, 65682, 65805, 65928, 66051, 66174, 66297, 66420, 66543, 66666, 66789, 66912, 67035, 67158, 67281, 67404, 67527, 67650, 67773, 67896, 68019, 68142, 68265, 68388, 68511, 68634, 68757, 68880, 69003, 69126, 69249, 69372, 69495, 69618, 69741, 69864, 69987, 70110, 70233, 70356, 70479, 70602, 70725, 70848, 70971, 71094, 71217, 71340, 71463, 71586, 71709, 71832, 71955, 72078, 72201, 72324, 72447, 72570, 72693, 72816, 72939, 73062, 73185, 73308, 73431, 73554, 73677, 73800, 73923, 74046, 74169, 74292, 74415, 74538, 74661, 74784, 74907, 75030, 75153, 75276, 75399, 75522, 75645, 75768, 75891, 76014, 76137, 76260, 76383, 76506, 76629, 76752, 76875, 76998, 77121, 77244, 77367, 77490, 77613, 77736, 77859, 77982, 78105, 78228, 78351, 78474, 78597, 78720, 78843, 78966, 79089, 79212, 79335, 79458, 79581, 79704, 79827, 79950, 80073, 80196, 80319, 80442, 80565, 80688, 80811, 80934, 81057, 81180, 81303, 81426, 81549, 81672, 81795, 81918, 82041, 82164, 82287, 82410, 82533, 82656, 82779, 82902, 83025, 83148, 83271, 83394, 83517, 83640, 83763, 83886, 84009, 84132, 84255, 84378, 84501, 84624, 84747, 84870, 84993, 85116, 85239, 85362, 85485, 85608, 85731, 85854, 85977, 86100, 86223, 86346, 86469, 86592, 86715, 86838, 86961, 87084, 87207, 87330, 87453, 87576, 87699, 87822, 87945, 88068, 88191, 88314, 88437, 88560, 88683, 88806, 88929, 89052, 89175, 89298, 89421, 89544, 89667, 89790, 89913, 90036, 90159, 90282, 90405, 90528, 90651, 90774, 90897, 91020, 91143, 91266, 91389, 91512, 91635, 91758, 91881, 92004, 92127, 92250, 92373, 92496, 92619, 92742, 92865, 92988, 93111, 93234, 93357, 93480, 93603, 93726, 93849, 93972, 94095, 94218, 94341, 94464, 94587, 94710, 94833, 94956, 95079, 95202, 95325, 95448, 95571, 95694, 95817, 95940, 96063, 96186, 96309, 96432, 96555, 96678, 96801, 96924, 97047, 97170, 97293, 97416, 97539, 97662, 97785, 97908, 98031, 98154, 98277, 98400, 98523, 98646, 98769, 98892, 99015, 99138, 99261, 99384, 99507, 99630, 99753, 99876, 99999

How to find the numbers divisible by 123?

Finding all the numbers that can be divided by 123 is essentially the same as searching for the multiples of 123: if a number N is a multiple of 123, then 123 is a divisor of N.

Indeed, if we assume that N is a multiple of 123, this means there exists an integer k such that:

k × 123 = N

Conversely, the result of N divided by 123 is this same integer k (without any remainder):

k = N 123

From this we can see that, theoretically, there's an infinite quantity of multiples of 123 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 123 less than 100000):

  • 1 × 123 = 123
  • 2 × 123 = 246
  • 3 × 123 = 369
  • ...
  • 812 × 123 = 99876
  • 813 × 123 = 99999