What are the numbers divisible by 214?

214, 428, 642, 856, 1070, 1284, 1498, 1712, 1926, 2140, 2354, 2568, 2782, 2996, 3210, 3424, 3638, 3852, 4066, 4280, 4494, 4708, 4922, 5136, 5350, 5564, 5778, 5992, 6206, 6420, 6634, 6848, 7062, 7276, 7490, 7704, 7918, 8132, 8346, 8560, 8774, 8988, 9202, 9416, 9630, 9844, 10058, 10272, 10486, 10700, 10914, 11128, 11342, 11556, 11770, 11984, 12198, 12412, 12626, 12840, 13054, 13268, 13482, 13696, 13910, 14124, 14338, 14552, 14766, 14980, 15194, 15408, 15622, 15836, 16050, 16264, 16478, 16692, 16906, 17120, 17334, 17548, 17762, 17976, 18190, 18404, 18618, 18832, 19046, 19260, 19474, 19688, 19902, 20116, 20330, 20544, 20758, 20972, 21186, 21400, 21614, 21828, 22042, 22256, 22470, 22684, 22898, 23112, 23326, 23540, 23754, 23968, 24182, 24396, 24610, 24824, 25038, 25252, 25466, 25680, 25894, 26108, 26322, 26536, 26750, 26964, 27178, 27392, 27606, 27820, 28034, 28248, 28462, 28676, 28890, 29104, 29318, 29532, 29746, 29960, 30174, 30388, 30602, 30816, 31030, 31244, 31458, 31672, 31886, 32100, 32314, 32528, 32742, 32956, 33170, 33384, 33598, 33812, 34026, 34240, 34454, 34668, 34882, 35096, 35310, 35524, 35738, 35952, 36166, 36380, 36594, 36808, 37022, 37236, 37450, 37664, 37878, 38092, 38306, 38520, 38734, 38948, 39162, 39376, 39590, 39804, 40018, 40232, 40446, 40660, 40874, 41088, 41302, 41516, 41730, 41944, 42158, 42372, 42586, 42800, 43014, 43228, 43442, 43656, 43870, 44084, 44298, 44512, 44726, 44940, 45154, 45368, 45582, 45796, 46010, 46224, 46438, 46652, 46866, 47080, 47294, 47508, 47722, 47936, 48150, 48364, 48578, 48792, 49006, 49220, 49434, 49648, 49862, 50076, 50290, 50504, 50718, 50932, 51146, 51360, 51574, 51788, 52002, 52216, 52430, 52644, 52858, 53072, 53286, 53500, 53714, 53928, 54142, 54356, 54570, 54784, 54998, 55212, 55426, 55640, 55854, 56068, 56282, 56496, 56710, 56924, 57138, 57352, 57566, 57780, 57994, 58208, 58422, 58636, 58850, 59064, 59278, 59492, 59706, 59920, 60134, 60348, 60562, 60776, 60990, 61204, 61418, 61632, 61846, 62060, 62274, 62488, 62702, 62916, 63130, 63344, 63558, 63772, 63986, 64200, 64414, 64628, 64842, 65056, 65270, 65484, 65698, 65912, 66126, 66340, 66554, 66768, 66982, 67196, 67410, 67624, 67838, 68052, 68266, 68480, 68694, 68908, 69122, 69336, 69550, 69764, 69978, 70192, 70406, 70620, 70834, 71048, 71262, 71476, 71690, 71904, 72118, 72332, 72546, 72760, 72974, 73188, 73402, 73616, 73830, 74044, 74258, 74472, 74686, 74900, 75114, 75328, 75542, 75756, 75970, 76184, 76398, 76612, 76826, 77040, 77254, 77468, 77682, 77896, 78110, 78324, 78538, 78752, 78966, 79180, 79394, 79608, 79822, 80036, 80250, 80464, 80678, 80892, 81106, 81320, 81534, 81748, 81962, 82176, 82390, 82604, 82818, 83032, 83246, 83460, 83674, 83888, 84102, 84316, 84530, 84744, 84958, 85172, 85386, 85600, 85814, 86028, 86242, 86456, 86670, 86884, 87098, 87312, 87526, 87740, 87954, 88168, 88382, 88596, 88810, 89024, 89238, 89452, 89666, 89880, 90094, 90308, 90522, 90736, 90950, 91164, 91378, 91592, 91806, 92020, 92234, 92448, 92662, 92876, 93090, 93304, 93518, 93732, 93946, 94160, 94374, 94588, 94802, 95016, 95230, 95444, 95658, 95872, 96086, 96300, 96514, 96728, 96942, 97156, 97370, 97584, 97798, 98012, 98226, 98440, 98654, 98868, 99082, 99296, 99510, 99724, 99938

How to find the numbers divisible by 214?

Finding all the numbers that can be divided by 214 is essentially the same as searching for the multiples of 214: if a number N is a multiple of 214, then 214 is a divisor of N.

Indeed, if we assume that N is a multiple of 214, this means there exists an integer k such that:

k × 214 = N

Conversely, the result of N divided by 214 is this same integer k (without any remainder):

k = N 214

From this we can see that, theoretically, there's an infinite quantity of multiples of 214 (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 214 less than 100000):

  • 1 × 214 = 214
  • 2 × 214 = 428
  • 3 × 214 = 642
  • ...
  • 466 × 214 = 99724
  • 467 × 214 = 99938