What are the numbers divisible by 198?

198, 396, 594, 792, 990, 1188, 1386, 1584, 1782, 1980, 2178, 2376, 2574, 2772, 2970, 3168, 3366, 3564, 3762, 3960, 4158, 4356, 4554, 4752, 4950, 5148, 5346, 5544, 5742, 5940, 6138, 6336, 6534, 6732, 6930, 7128, 7326, 7524, 7722, 7920, 8118, 8316, 8514, 8712, 8910, 9108, 9306, 9504, 9702, 9900, 10098, 10296, 10494, 10692, 10890, 11088, 11286, 11484, 11682, 11880, 12078, 12276, 12474, 12672, 12870, 13068, 13266, 13464, 13662, 13860, 14058, 14256, 14454, 14652, 14850, 15048, 15246, 15444, 15642, 15840, 16038, 16236, 16434, 16632, 16830, 17028, 17226, 17424, 17622, 17820, 18018, 18216, 18414, 18612, 18810, 19008, 19206, 19404, 19602, 19800, 19998, 20196, 20394, 20592, 20790, 20988, 21186, 21384, 21582, 21780, 21978, 22176, 22374, 22572, 22770, 22968, 23166, 23364, 23562, 23760, 23958, 24156, 24354, 24552, 24750, 24948, 25146, 25344, 25542, 25740, 25938, 26136, 26334, 26532, 26730, 26928, 27126, 27324, 27522, 27720, 27918, 28116, 28314, 28512, 28710, 28908, 29106, 29304, 29502, 29700, 29898, 30096, 30294, 30492, 30690, 30888, 31086, 31284, 31482, 31680, 31878, 32076, 32274, 32472, 32670, 32868, 33066, 33264, 33462, 33660, 33858, 34056, 34254, 34452, 34650, 34848, 35046, 35244, 35442, 35640, 35838, 36036, 36234, 36432, 36630, 36828, 37026, 37224, 37422, 37620, 37818, 38016, 38214, 38412, 38610, 38808, 39006, 39204, 39402, 39600, 39798, 39996, 40194, 40392, 40590, 40788, 40986, 41184, 41382, 41580, 41778, 41976, 42174, 42372, 42570, 42768, 42966, 43164, 43362, 43560, 43758, 43956, 44154, 44352, 44550, 44748, 44946, 45144, 45342, 45540, 45738, 45936, 46134, 46332, 46530, 46728, 46926, 47124, 47322, 47520, 47718, 47916, 48114, 48312, 48510, 48708, 48906, 49104, 49302, 49500, 49698, 49896, 50094, 50292, 50490, 50688, 50886, 51084, 51282, 51480, 51678, 51876, 52074, 52272, 52470, 52668, 52866, 53064, 53262, 53460, 53658, 53856, 54054, 54252, 54450, 54648, 54846, 55044, 55242, 55440, 55638, 55836, 56034, 56232, 56430, 56628, 56826, 57024, 57222, 57420, 57618, 57816, 58014, 58212, 58410, 58608, 58806, 59004, 59202, 59400, 59598, 59796, 59994, 60192, 60390, 60588, 60786, 60984, 61182, 61380, 61578, 61776, 61974, 62172, 62370, 62568, 62766, 62964, 63162, 63360, 63558, 63756, 63954, 64152, 64350, 64548, 64746, 64944, 65142, 65340, 65538, 65736, 65934, 66132, 66330, 66528, 66726, 66924, 67122, 67320, 67518, 67716, 67914, 68112, 68310, 68508, 68706, 68904, 69102, 69300, 69498, 69696, 69894, 70092, 70290, 70488, 70686, 70884, 71082, 71280, 71478, 71676, 71874, 72072, 72270, 72468, 72666, 72864, 73062, 73260, 73458, 73656, 73854, 74052, 74250, 74448, 74646, 74844, 75042, 75240, 75438, 75636, 75834, 76032, 76230, 76428, 76626, 76824, 77022, 77220, 77418, 77616, 77814, 78012, 78210, 78408, 78606, 78804, 79002, 79200, 79398, 79596, 79794, 79992, 80190, 80388, 80586, 80784, 80982, 81180, 81378, 81576, 81774, 81972, 82170, 82368, 82566, 82764, 82962, 83160, 83358, 83556, 83754, 83952, 84150, 84348, 84546, 84744, 84942, 85140, 85338, 85536, 85734, 85932, 86130, 86328, 86526, 86724, 86922, 87120, 87318, 87516, 87714, 87912, 88110, 88308, 88506, 88704, 88902, 89100, 89298, 89496, 89694, 89892, 90090, 90288, 90486, 90684, 90882, 91080, 91278, 91476, 91674, 91872, 92070, 92268, 92466, 92664, 92862, 93060, 93258, 93456, 93654, 93852, 94050, 94248, 94446, 94644, 94842, 95040, 95238, 95436, 95634, 95832, 96030, 96228, 96426, 96624, 96822, 97020, 97218, 97416, 97614, 97812, 98010, 98208, 98406, 98604, 98802, 99000, 99198, 99396, 99594, 99792, 99990

How to find the numbers divisible by 198?

Finding all the numbers that can be divided by 198 is essentially the same as searching for the multiples of 198: if a number N is a multiple of 198, then 198 is a divisor of N.

Indeed, if we assume that N is a multiple of 198, this means there exists an integer k such that:

k × 198 = N

Conversely, the result of N divided by 198 is this same integer k (without any remainder):

k = N 198

From this we can see that, theoretically, there's an infinite quantity of multiples of 198 (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 198 less than 100000):

  • 1 × 198 = 198
  • 2 × 198 = 396
  • 3 × 198 = 594
  • ...
  • 504 × 198 = 99792
  • 505 × 198 = 99990