What are the numbers divisible by 255?

255, 510, 765, 1020, 1275, 1530, 1785, 2040, 2295, 2550, 2805, 3060, 3315, 3570, 3825, 4080, 4335, 4590, 4845, 5100, 5355, 5610, 5865, 6120, 6375, 6630, 6885, 7140, 7395, 7650, 7905, 8160, 8415, 8670, 8925, 9180, 9435, 9690, 9945, 10200, 10455, 10710, 10965, 11220, 11475, 11730, 11985, 12240, 12495, 12750, 13005, 13260, 13515, 13770, 14025, 14280, 14535, 14790, 15045, 15300, 15555, 15810, 16065, 16320, 16575, 16830, 17085, 17340, 17595, 17850, 18105, 18360, 18615, 18870, 19125, 19380, 19635, 19890, 20145, 20400, 20655, 20910, 21165, 21420, 21675, 21930, 22185, 22440, 22695, 22950, 23205, 23460, 23715, 23970, 24225, 24480, 24735, 24990, 25245, 25500, 25755, 26010, 26265, 26520, 26775, 27030, 27285, 27540, 27795, 28050, 28305, 28560, 28815, 29070, 29325, 29580, 29835, 30090, 30345, 30600, 30855, 31110, 31365, 31620, 31875, 32130, 32385, 32640, 32895, 33150, 33405, 33660, 33915, 34170, 34425, 34680, 34935, 35190, 35445, 35700, 35955, 36210, 36465, 36720, 36975, 37230, 37485, 37740, 37995, 38250, 38505, 38760, 39015, 39270, 39525, 39780, 40035, 40290, 40545, 40800, 41055, 41310, 41565, 41820, 42075, 42330, 42585, 42840, 43095, 43350, 43605, 43860, 44115, 44370, 44625, 44880, 45135, 45390, 45645, 45900, 46155, 46410, 46665, 46920, 47175, 47430, 47685, 47940, 48195, 48450, 48705, 48960, 49215, 49470, 49725, 49980, 50235, 50490, 50745, 51000, 51255, 51510, 51765, 52020, 52275, 52530, 52785, 53040, 53295, 53550, 53805, 54060, 54315, 54570, 54825, 55080, 55335, 55590, 55845, 56100, 56355, 56610, 56865, 57120, 57375, 57630, 57885, 58140, 58395, 58650, 58905, 59160, 59415, 59670, 59925, 60180, 60435, 60690, 60945, 61200, 61455, 61710, 61965, 62220, 62475, 62730, 62985, 63240, 63495, 63750, 64005, 64260, 64515, 64770, 65025, 65280, 65535, 65790, 66045, 66300, 66555, 66810, 67065, 67320, 67575, 67830, 68085, 68340, 68595, 68850, 69105, 69360, 69615, 69870, 70125, 70380, 70635, 70890, 71145, 71400, 71655, 71910, 72165, 72420, 72675, 72930, 73185, 73440, 73695, 73950, 74205, 74460, 74715, 74970, 75225, 75480, 75735, 75990, 76245, 76500, 76755, 77010, 77265, 77520, 77775, 78030, 78285, 78540, 78795, 79050, 79305, 79560, 79815, 80070, 80325, 80580, 80835, 81090, 81345, 81600, 81855, 82110, 82365, 82620, 82875, 83130, 83385, 83640, 83895, 84150, 84405, 84660, 84915, 85170, 85425, 85680, 85935, 86190, 86445, 86700, 86955, 87210, 87465, 87720, 87975, 88230, 88485, 88740, 88995, 89250, 89505, 89760, 90015, 90270, 90525, 90780, 91035, 91290, 91545, 91800, 92055, 92310, 92565, 92820, 93075, 93330, 93585, 93840, 94095, 94350, 94605, 94860, 95115, 95370, 95625, 95880, 96135, 96390, 96645, 96900, 97155, 97410, 97665, 97920, 98175, 98430, 98685, 98940, 99195, 99450, 99705, 99960

How to find the numbers divisible by 255?

Finding all the numbers that can be divided by 255 is essentially the same as searching for the multiples of 255: if a number N is a multiple of 255, then 255 is a divisor of N.

Indeed, if we assume that N is a multiple of 255, this means there exists an integer k such that:

k × 255 = N

Conversely, the result of N divided by 255 is this same integer k (without any remainder):

k = N 255

From this we can see that, theoretically, there's an infinite quantity of multiples of 255 (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 255 less than 100000):

  • 1 × 255 = 255
  • 2 × 255 = 510
  • 3 × 255 = 765
  • ...
  • 391 × 255 = 99705
  • 392 × 255 = 99960