What are the numbers divisible by 256?

256, 512, 768, 1024, 1280, 1536, 1792, 2048, 2304, 2560, 2816, 3072, 3328, 3584, 3840, 4096, 4352, 4608, 4864, 5120, 5376, 5632, 5888, 6144, 6400, 6656, 6912, 7168, 7424, 7680, 7936, 8192, 8448, 8704, 8960, 9216, 9472, 9728, 9984, 10240, 10496, 10752, 11008, 11264, 11520, 11776, 12032, 12288, 12544, 12800, 13056, 13312, 13568, 13824, 14080, 14336, 14592, 14848, 15104, 15360, 15616, 15872, 16128, 16384, 16640, 16896, 17152, 17408, 17664, 17920, 18176, 18432, 18688, 18944, 19200, 19456, 19712, 19968, 20224, 20480, 20736, 20992, 21248, 21504, 21760, 22016, 22272, 22528, 22784, 23040, 23296, 23552, 23808, 24064, 24320, 24576, 24832, 25088, 25344, 25600, 25856, 26112, 26368, 26624, 26880, 27136, 27392, 27648, 27904, 28160, 28416, 28672, 28928, 29184, 29440, 29696, 29952, 30208, 30464, 30720, 30976, 31232, 31488, 31744, 32000, 32256, 32512, 32768, 33024, 33280, 33536, 33792, 34048, 34304, 34560, 34816, 35072, 35328, 35584, 35840, 36096, 36352, 36608, 36864, 37120, 37376, 37632, 37888, 38144, 38400, 38656, 38912, 39168, 39424, 39680, 39936, 40192, 40448, 40704, 40960, 41216, 41472, 41728, 41984, 42240, 42496, 42752, 43008, 43264, 43520, 43776, 44032, 44288, 44544, 44800, 45056, 45312, 45568, 45824, 46080, 46336, 46592, 46848, 47104, 47360, 47616, 47872, 48128, 48384, 48640, 48896, 49152, 49408, 49664, 49920, 50176, 50432, 50688, 50944, 51200, 51456, 51712, 51968, 52224, 52480, 52736, 52992, 53248, 53504, 53760, 54016, 54272, 54528, 54784, 55040, 55296, 55552, 55808, 56064, 56320, 56576, 56832, 57088, 57344, 57600, 57856, 58112, 58368, 58624, 58880, 59136, 59392, 59648, 59904, 60160, 60416, 60672, 60928, 61184, 61440, 61696, 61952, 62208, 62464, 62720, 62976, 63232, 63488, 63744, 64000, 64256, 64512, 64768, 65024, 65280, 65536, 65792, 66048, 66304, 66560, 66816, 67072, 67328, 67584, 67840, 68096, 68352, 68608, 68864, 69120, 69376, 69632, 69888, 70144, 70400, 70656, 70912, 71168, 71424, 71680, 71936, 72192, 72448, 72704, 72960, 73216, 73472, 73728, 73984, 74240, 74496, 74752, 75008, 75264, 75520, 75776, 76032, 76288, 76544, 76800, 77056, 77312, 77568, 77824, 78080, 78336, 78592, 78848, 79104, 79360, 79616, 79872, 80128, 80384, 80640, 80896, 81152, 81408, 81664, 81920, 82176, 82432, 82688, 82944, 83200, 83456, 83712, 83968, 84224, 84480, 84736, 84992, 85248, 85504, 85760, 86016, 86272, 86528, 86784, 87040, 87296, 87552, 87808, 88064, 88320, 88576, 88832, 89088, 89344, 89600, 89856, 90112, 90368, 90624, 90880, 91136, 91392, 91648, 91904, 92160, 92416, 92672, 92928, 93184, 93440, 93696, 93952, 94208, 94464, 94720, 94976, 95232, 95488, 95744, 96000, 96256, 96512, 96768, 97024, 97280, 97536, 97792, 98048, 98304, 98560, 98816, 99072, 99328, 99584, 99840

How to find the numbers divisible by 256?

Finding all the numbers that can be divided by 256 is essentially the same as searching for the multiples of 256: if a number N is a multiple of 256, then 256 is a divisor of N.

Indeed, if we assume that N is a multiple of 256, this means there exists an integer k such that:

k × 256 = N

Conversely, the result of N divided by 256 is this same integer k (without any remainder):

k = N 256

From this we can see that, theoretically, there's an infinite quantity of multiples of 256 (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 256 less than 100000):

  • 1 × 256 = 256
  • 2 × 256 = 512
  • 3 × 256 = 768
  • ...
  • 389 × 256 = 99584
  • 390 × 256 = 99840