What are the numbers divisible by 81?

81, 162, 243, 324, 405, 486, 567, 648, 729, 810, 891, 972, 1053, 1134, 1215, 1296, 1377, 1458, 1539, 1620, 1701, 1782, 1863, 1944, 2025, 2106, 2187, 2268, 2349, 2430, 2511, 2592, 2673, 2754, 2835, 2916, 2997, 3078, 3159, 3240, 3321, 3402, 3483, 3564, 3645, 3726, 3807, 3888, 3969, 4050, 4131, 4212, 4293, 4374, 4455, 4536, 4617, 4698, 4779, 4860, 4941, 5022, 5103, 5184, 5265, 5346, 5427, 5508, 5589, 5670, 5751, 5832, 5913, 5994, 6075, 6156, 6237, 6318, 6399, 6480, 6561, 6642, 6723, 6804, 6885, 6966, 7047, 7128, 7209, 7290, 7371, 7452, 7533, 7614, 7695, 7776, 7857, 7938, 8019, 8100, 8181, 8262, 8343, 8424, 8505, 8586, 8667, 8748, 8829, 8910, 8991, 9072, 9153, 9234, 9315, 9396, 9477, 9558, 9639, 9720, 9801, 9882, 9963, 10044, 10125, 10206, 10287, 10368, 10449, 10530, 10611, 10692, 10773, 10854, 10935, 11016, 11097, 11178, 11259, 11340, 11421, 11502, 11583, 11664, 11745, 11826, 11907, 11988, 12069, 12150, 12231, 12312, 12393, 12474, 12555, 12636, 12717, 12798, 12879, 12960, 13041, 13122, 13203, 13284, 13365, 13446, 13527, 13608, 13689, 13770, 13851, 13932, 14013, 14094, 14175, 14256, 14337, 14418, 14499, 14580, 14661, 14742, 14823, 14904, 14985, 15066, 15147, 15228, 15309, 15390, 15471, 15552, 15633, 15714, 15795, 15876, 15957, 16038, 16119, 16200, 16281, 16362, 16443, 16524, 16605, 16686, 16767, 16848, 16929, 17010, 17091, 17172, 17253, 17334, 17415, 17496, 17577, 17658, 17739, 17820, 17901, 17982, 18063, 18144, 18225, 18306, 18387, 18468, 18549, 18630, 18711, 18792, 18873, 18954, 19035, 19116, 19197, 19278, 19359, 19440, 19521, 19602, 19683, 19764, 19845, 19926, 20007, 20088, 20169, 20250, 20331, 20412, 20493, 20574, 20655, 20736, 20817, 20898, 20979, 21060, 21141, 21222, 21303, 21384, 21465, 21546, 21627, 21708, 21789, 21870, 21951, 22032, 22113, 22194, 22275, 22356, 22437, 22518, 22599, 22680, 22761, 22842, 22923, 23004, 23085, 23166, 23247, 23328, 23409, 23490, 23571, 23652, 23733, 23814, 23895, 23976, 24057, 24138, 24219, 24300, 24381, 24462, 24543, 24624, 24705, 24786, 24867, 24948, 25029, 25110, 25191, 25272, 25353, 25434, 25515, 25596, 25677, 25758, 25839, 25920, 26001, 26082, 26163, 26244, 26325, 26406, 26487, 26568, 26649, 26730, 26811, 26892, 26973, 27054, 27135, 27216, 27297, 27378, 27459, 27540, 27621, 27702, 27783, 27864, 27945, 28026, 28107, 28188, 28269, 28350, 28431, 28512, 28593, 28674, 28755, 28836, 28917, 28998, 29079, 29160, 29241, 29322, 29403, 29484, 29565, 29646, 29727, 29808, 29889, 29970, 30051, 30132, 30213, 30294, 30375, 30456, 30537, 30618, 30699, 30780, 30861, 30942, 31023, 31104, 31185, 31266, 31347, 31428, 31509, 31590, 31671, 31752, 31833, 31914, 31995, 32076, 32157, 32238, 32319, 32400, 32481, 32562, 32643, 32724, 32805, 32886, 32967, 33048, 33129, 33210, 33291, 33372, 33453, 33534, 33615, 33696, 33777, 33858, 33939, 34020, 34101, 34182, 34263, 34344, 34425, 34506, 34587, 34668, 34749, 34830, 34911, 34992, 35073, 35154, 35235, 35316, 35397, 35478, 35559, 35640, 35721, 35802, 35883, 35964, 36045, 36126, 36207, 36288, 36369, 36450, 36531, 36612, 36693, 36774, 36855, 36936, 37017, 37098, 37179, 37260, 37341, 37422, 37503, 37584, 37665, 37746, 37827, 37908, 37989, 38070, 38151, 38232, 38313, 38394, 38475, 38556, 38637, 38718, 38799, 38880, 38961, 39042, 39123, 39204, 39285, 39366, 39447, 39528, 39609, 39690, 39771, 39852, 39933, 40014, 40095, 40176, 40257, 40338, 40419, 40500, 40581, 40662, 40743, 40824, 40905, 40986, 41067, 41148, 41229, 41310, 41391, 41472, 41553, 41634, 41715, 41796, 41877, 41958, 42039, 42120, 42201, 42282, 42363, 42444, 42525, 42606, 42687, 42768, 42849, 42930, 43011, 43092, 43173, 43254, 43335, 43416, 43497, 43578, 43659, 43740, 43821, 43902, 43983, 44064, 44145, 44226, 44307, 44388, 44469, 44550, 44631, 44712, 44793, 44874, 44955, 45036, 45117, 45198, 45279, 45360, 45441, 45522, 45603, 45684, 45765, 45846, 45927, 46008, 46089, 46170, 46251, 46332, 46413, 46494, 46575, 46656, 46737, 46818, 46899, 46980, 47061, 47142, 47223, 47304, 47385, 47466, 47547, 47628, 47709, 47790, 47871, 47952, 48033, 48114, 48195, 48276, 48357, 48438, 48519, 48600, 48681, 48762, 48843, 48924, 49005, 49086, 49167, 49248, 49329, 49410, 49491, 49572, 49653, 49734, 49815, 49896, 49977, 50058, 50139, 50220, 50301, 50382, 50463, 50544, 50625, 50706, 50787, 50868, 50949, 51030, 51111, 51192, 51273, 51354, 51435, 51516, 51597, 51678, 51759, 51840, 51921, 52002, 52083, 52164, 52245, 52326, 52407, 52488, 52569, 52650, 52731, 52812, 52893, 52974, 53055, 53136, 53217, 53298, 53379, 53460, 53541, 53622, 53703, 53784, 53865, 53946, 54027, 54108, 54189, 54270, 54351, 54432, 54513, 54594, 54675, 54756, 54837, 54918, 54999, 55080, 55161, 55242, 55323, 55404, 55485, 55566, 55647, 55728, 55809, 55890, 55971, 56052, 56133, 56214, 56295, 56376, 56457, 56538, 56619, 56700, 56781, 56862, 56943, 57024, 57105, 57186, 57267, 57348, 57429, 57510, 57591, 57672, 57753, 57834, 57915, 57996, 58077, 58158, 58239, 58320, 58401, 58482, 58563, 58644, 58725, 58806, 58887, 58968, 59049, 59130, 59211, 59292, 59373, 59454, 59535, 59616, 59697, 59778, 59859, 59940, 60021, 60102, 60183, 60264, 60345, 60426, 60507, 60588, 60669, 60750, 60831, 60912, 60993, 61074, 61155, 61236, 61317, 61398, 61479, 61560, 61641, 61722, 61803, 61884, 61965, 62046, 62127, 62208, 62289, 62370, 62451, 62532, 62613, 62694, 62775, 62856, 62937, 63018, 63099, 63180, 63261, 63342, 63423, 63504, 63585, 63666, 63747, 63828, 63909, 63990, 64071, 64152, 64233, 64314, 64395, 64476, 64557, 64638, 64719, 64800, 64881, 64962, 65043, 65124, 65205, 65286, 65367, 65448, 65529, 65610, 65691, 65772, 65853, 65934, 66015, 66096, 66177, 66258, 66339, 66420, 66501, 66582, 66663, 66744, 66825, 66906, 66987, 67068, 67149, 67230, 67311, 67392, 67473, 67554, 67635, 67716, 67797, 67878, 67959, 68040, 68121, 68202, 68283, 68364, 68445, 68526, 68607, 68688, 68769, 68850, 68931, 69012, 69093, 69174, 69255, 69336, 69417, 69498, 69579, 69660, 69741, 69822, 69903, 69984, 70065, 70146, 70227, 70308, 70389, 70470, 70551, 70632, 70713, 70794, 70875, 70956, 71037, 71118, 71199, 71280, 71361, 71442, 71523, 71604, 71685, 71766, 71847, 71928, 72009, 72090, 72171, 72252, 72333, 72414, 72495, 72576, 72657, 72738, 72819, 72900, 72981, 73062, 73143, 73224, 73305, 73386, 73467, 73548, 73629, 73710, 73791, 73872, 73953, 74034, 74115, 74196, 74277, 74358, 74439, 74520, 74601, 74682, 74763, 74844, 74925, 75006, 75087, 75168, 75249, 75330, 75411, 75492, 75573, 75654, 75735, 75816, 75897, 75978, 76059, 76140, 76221, 76302, 76383, 76464, 76545, 76626, 76707, 76788, 76869, 76950, 77031, 77112, 77193, 77274, 77355, 77436, 77517, 77598, 77679, 77760, 77841, 77922, 78003, 78084, 78165, 78246, 78327, 78408, 78489, 78570, 78651, 78732, 78813, 78894, 78975, 79056, 79137, 79218, 79299, 79380, 79461, 79542, 79623, 79704, 79785, 79866, 79947, 80028, 80109, 80190, 80271, 80352, 80433, 80514, 80595, 80676, 80757, 80838, 80919, 81000, 81081, 81162, 81243, 81324, 81405, 81486, 81567, 81648, 81729, 81810, 81891, 81972, 82053, 82134, 82215, 82296, 82377, 82458, 82539, 82620, 82701, 82782, 82863, 82944, 83025, 83106, 83187, 83268, 83349, 83430, 83511, 83592, 83673, 83754, 83835, 83916, 83997, 84078, 84159, 84240, 84321, 84402, 84483, 84564, 84645, 84726, 84807, 84888, 84969, 85050, 85131, 85212, 85293, 85374, 85455, 85536, 85617, 85698, 85779, 85860, 85941, 86022, 86103, 86184, 86265, 86346, 86427, 86508, 86589, 86670, 86751, 86832, 86913, 86994, 87075, 87156, 87237, 87318, 87399, 87480, 87561, 87642, 87723, 87804, 87885, 87966, 88047, 88128, 88209, 88290, 88371, 88452, 88533, 88614, 88695, 88776, 88857, 88938, 89019, 89100, 89181, 89262, 89343, 89424, 89505, 89586, 89667, 89748, 89829, 89910, 89991, 90072, 90153, 90234, 90315, 90396, 90477, 90558, 90639, 90720, 90801, 90882, 90963, 91044, 91125, 91206, 91287, 91368, 91449, 91530, 91611, 91692, 91773, 91854, 91935, 92016, 92097, 92178, 92259, 92340, 92421, 92502, 92583, 92664, 92745, 92826, 92907, 92988, 93069, 93150, 93231, 93312, 93393, 93474, 93555, 93636, 93717, 93798, 93879, 93960, 94041, 94122, 94203, 94284, 94365, 94446, 94527, 94608, 94689, 94770, 94851, 94932, 95013, 95094, 95175, 95256, 95337, 95418, 95499, 95580, 95661, 95742, 95823, 95904, 95985, 96066, 96147, 96228, 96309, 96390, 96471, 96552, 96633, 96714, 96795, 96876, 96957, 97038, 97119, 97200, 97281, 97362, 97443, 97524, 97605, 97686, 97767, 97848, 97929, 98010, 98091, 98172, 98253, 98334, 98415, 98496, 98577, 98658, 98739, 98820, 98901, 98982, 99063, 99144, 99225, 99306, 99387, 99468, 99549, 99630, 99711, 99792, 99873, 99954

How to find the numbers divisible by 81?

Finding all the numbers that can be divided by 81 is essentially the same as searching for the multiples of 81: if a number N is a multiple of 81, then 81 is a divisor of N.

Indeed, if we assume that N is a multiple of 81, this means there exists an integer k such that:

k × 81 = N

Conversely, the result of N divided by 81 is this same integer k (without any remainder):

k = N 81

From this we can see that, theoretically, there's an infinite quantity of multiples of 81 (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 81 less than 100000):

  • 1 × 81 = 81
  • 2 × 81 = 162
  • 3 × 81 = 243
  • ...
  • 1233 × 81 = 99873
  • 1234 × 81 = 99954