What are the numbers divisible by 135?

135, 270, 405, 540, 675, 810, 945, 1080, 1215, 1350, 1485, 1620, 1755, 1890, 2025, 2160, 2295, 2430, 2565, 2700, 2835, 2970, 3105, 3240, 3375, 3510, 3645, 3780, 3915, 4050, 4185, 4320, 4455, 4590, 4725, 4860, 4995, 5130, 5265, 5400, 5535, 5670, 5805, 5940, 6075, 6210, 6345, 6480, 6615, 6750, 6885, 7020, 7155, 7290, 7425, 7560, 7695, 7830, 7965, 8100, 8235, 8370, 8505, 8640, 8775, 8910, 9045, 9180, 9315, 9450, 9585, 9720, 9855, 9990, 10125, 10260, 10395, 10530, 10665, 10800, 10935, 11070, 11205, 11340, 11475, 11610, 11745, 11880, 12015, 12150, 12285, 12420, 12555, 12690, 12825, 12960, 13095, 13230, 13365, 13500, 13635, 13770, 13905, 14040, 14175, 14310, 14445, 14580, 14715, 14850, 14985, 15120, 15255, 15390, 15525, 15660, 15795, 15930, 16065, 16200, 16335, 16470, 16605, 16740, 16875, 17010, 17145, 17280, 17415, 17550, 17685, 17820, 17955, 18090, 18225, 18360, 18495, 18630, 18765, 18900, 19035, 19170, 19305, 19440, 19575, 19710, 19845, 19980, 20115, 20250, 20385, 20520, 20655, 20790, 20925, 21060, 21195, 21330, 21465, 21600, 21735, 21870, 22005, 22140, 22275, 22410, 22545, 22680, 22815, 22950, 23085, 23220, 23355, 23490, 23625, 23760, 23895, 24030, 24165, 24300, 24435, 24570, 24705, 24840, 24975, 25110, 25245, 25380, 25515, 25650, 25785, 25920, 26055, 26190, 26325, 26460, 26595, 26730, 26865, 27000, 27135, 27270, 27405, 27540, 27675, 27810, 27945, 28080, 28215, 28350, 28485, 28620, 28755, 28890, 29025, 29160, 29295, 29430, 29565, 29700, 29835, 29970, 30105, 30240, 30375, 30510, 30645, 30780, 30915, 31050, 31185, 31320, 31455, 31590, 31725, 31860, 31995, 32130, 32265, 32400, 32535, 32670, 32805, 32940, 33075, 33210, 33345, 33480, 33615, 33750, 33885, 34020, 34155, 34290, 34425, 34560, 34695, 34830, 34965, 35100, 35235, 35370, 35505, 35640, 35775, 35910, 36045, 36180, 36315, 36450, 36585, 36720, 36855, 36990, 37125, 37260, 37395, 37530, 37665, 37800, 37935, 38070, 38205, 38340, 38475, 38610, 38745, 38880, 39015, 39150, 39285, 39420, 39555, 39690, 39825, 39960, 40095, 40230, 40365, 40500, 40635, 40770, 40905, 41040, 41175, 41310, 41445, 41580, 41715, 41850, 41985, 42120, 42255, 42390, 42525, 42660, 42795, 42930, 43065, 43200, 43335, 43470, 43605, 43740, 43875, 44010, 44145, 44280, 44415, 44550, 44685, 44820, 44955, 45090, 45225, 45360, 45495, 45630, 45765, 45900, 46035, 46170, 46305, 46440, 46575, 46710, 46845, 46980, 47115, 47250, 47385, 47520, 47655, 47790, 47925, 48060, 48195, 48330, 48465, 48600, 48735, 48870, 49005, 49140, 49275, 49410, 49545, 49680, 49815, 49950, 50085, 50220, 50355, 50490, 50625, 50760, 50895, 51030, 51165, 51300, 51435, 51570, 51705, 51840, 51975, 52110, 52245, 52380, 52515, 52650, 52785, 52920, 53055, 53190, 53325, 53460, 53595, 53730, 53865, 54000, 54135, 54270, 54405, 54540, 54675, 54810, 54945, 55080, 55215, 55350, 55485, 55620, 55755, 55890, 56025, 56160, 56295, 56430, 56565, 56700, 56835, 56970, 57105, 57240, 57375, 57510, 57645, 57780, 57915, 58050, 58185, 58320, 58455, 58590, 58725, 58860, 58995, 59130, 59265, 59400, 59535, 59670, 59805, 59940, 60075, 60210, 60345, 60480, 60615, 60750, 60885, 61020, 61155, 61290, 61425, 61560, 61695, 61830, 61965, 62100, 62235, 62370, 62505, 62640, 62775, 62910, 63045, 63180, 63315, 63450, 63585, 63720, 63855, 63990, 64125, 64260, 64395, 64530, 64665, 64800, 64935, 65070, 65205, 65340, 65475, 65610, 65745, 65880, 66015, 66150, 66285, 66420, 66555, 66690, 66825, 66960, 67095, 67230, 67365, 67500, 67635, 67770, 67905, 68040, 68175, 68310, 68445, 68580, 68715, 68850, 68985, 69120, 69255, 69390, 69525, 69660, 69795, 69930, 70065, 70200, 70335, 70470, 70605, 70740, 70875, 71010, 71145, 71280, 71415, 71550, 71685, 71820, 71955, 72090, 72225, 72360, 72495, 72630, 72765, 72900, 73035, 73170, 73305, 73440, 73575, 73710, 73845, 73980, 74115, 74250, 74385, 74520, 74655, 74790, 74925, 75060, 75195, 75330, 75465, 75600, 75735, 75870, 76005, 76140, 76275, 76410, 76545, 76680, 76815, 76950, 77085, 77220, 77355, 77490, 77625, 77760, 77895, 78030, 78165, 78300, 78435, 78570, 78705, 78840, 78975, 79110, 79245, 79380, 79515, 79650, 79785, 79920, 80055, 80190, 80325, 80460, 80595, 80730, 80865, 81000, 81135, 81270, 81405, 81540, 81675, 81810, 81945, 82080, 82215, 82350, 82485, 82620, 82755, 82890, 83025, 83160, 83295, 83430, 83565, 83700, 83835, 83970, 84105, 84240, 84375, 84510, 84645, 84780, 84915, 85050, 85185, 85320, 85455, 85590, 85725, 85860, 85995, 86130, 86265, 86400, 86535, 86670, 86805, 86940, 87075, 87210, 87345, 87480, 87615, 87750, 87885, 88020, 88155, 88290, 88425, 88560, 88695, 88830, 88965, 89100, 89235, 89370, 89505, 89640, 89775, 89910, 90045, 90180, 90315, 90450, 90585, 90720, 90855, 90990, 91125, 91260, 91395, 91530, 91665, 91800, 91935, 92070, 92205, 92340, 92475, 92610, 92745, 92880, 93015, 93150, 93285, 93420, 93555, 93690, 93825, 93960, 94095, 94230, 94365, 94500, 94635, 94770, 94905, 95040, 95175, 95310, 95445, 95580, 95715, 95850, 95985, 96120, 96255, 96390, 96525, 96660, 96795, 96930, 97065, 97200, 97335, 97470, 97605, 97740, 97875, 98010, 98145, 98280, 98415, 98550, 98685, 98820, 98955, 99090, 99225, 99360, 99495, 99630, 99765, 99900

How to find the numbers divisible by 135?

Finding all the numbers that can be divided by 135 is essentially the same as searching for the multiples of 135: if a number N is a multiple of 135, then 135 is a divisor of N.

Indeed, if we assume that N is a multiple of 135, this means there exists an integer k such that:

k × 135 = N

Conversely, the result of N divided by 135 is this same integer k (without any remainder):

k = N 135

From this we can see that, theoretically, there's an infinite quantity of multiples of 135 (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 135 less than 100000):

  • 1 × 135 = 135
  • 2 × 135 = 270
  • 3 × 135 = 405
  • ...
  • 739 × 135 = 99765
  • 740 × 135 = 99900