What are the numbers divisible by 56?

56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176, 1232, 1288, 1344, 1400, 1456, 1512, 1568, 1624, 1680, 1736, 1792, 1848, 1904, 1960, 2016, 2072, 2128, 2184, 2240, 2296, 2352, 2408, 2464, 2520, 2576, 2632, 2688, 2744, 2800, 2856, 2912, 2968, 3024, 3080, 3136, 3192, 3248, 3304, 3360, 3416, 3472, 3528, 3584, 3640, 3696, 3752, 3808, 3864, 3920, 3976, 4032, 4088, 4144, 4200, 4256, 4312, 4368, 4424, 4480, 4536, 4592, 4648, 4704, 4760, 4816, 4872, 4928, 4984, 5040, 5096, 5152, 5208, 5264, 5320, 5376, 5432, 5488, 5544, 5600, 5656, 5712, 5768, 5824, 5880, 5936, 5992, 6048, 6104, 6160, 6216, 6272, 6328, 6384, 6440, 6496, 6552, 6608, 6664, 6720, 6776, 6832, 6888, 6944, 7000, 7056, 7112, 7168, 7224, 7280, 7336, 7392, 7448, 7504, 7560, 7616, 7672, 7728, 7784, 7840, 7896, 7952, 8008, 8064, 8120, 8176, 8232, 8288, 8344, 8400, 8456, 8512, 8568, 8624, 8680, 8736, 8792, 8848, 8904, 8960, 9016, 9072, 9128, 9184, 9240, 9296, 9352, 9408, 9464, 9520, 9576, 9632, 9688, 9744, 9800, 9856, 9912, 9968, 10024, 10080, 10136, 10192, 10248, 10304, 10360, 10416, 10472, 10528, 10584, 10640, 10696, 10752, 10808, 10864, 10920, 10976, 11032, 11088, 11144, 11200, 11256, 11312, 11368, 11424, 11480, 11536, 11592, 11648, 11704, 11760, 11816, 11872, 11928, 11984, 12040, 12096, 12152, 12208, 12264, 12320, 12376, 12432, 12488, 12544, 12600, 12656, 12712, 12768, 12824, 12880, 12936, 12992, 13048, 13104, 13160, 13216, 13272, 13328, 13384, 13440, 13496, 13552, 13608, 13664, 13720, 13776, 13832, 13888, 13944, 14000, 14056, 14112, 14168, 14224, 14280, 14336, 14392, 14448, 14504, 14560, 14616, 14672, 14728, 14784, 14840, 14896, 14952, 15008, 15064, 15120, 15176, 15232, 15288, 15344, 15400, 15456, 15512, 15568, 15624, 15680, 15736, 15792, 15848, 15904, 15960, 16016, 16072, 16128, 16184, 16240, 16296, 16352, 16408, 16464, 16520, 16576, 16632, 16688, 16744, 16800, 16856, 16912, 16968, 17024, 17080, 17136, 17192, 17248, 17304, 17360, 17416, 17472, 17528, 17584, 17640, 17696, 17752, 17808, 17864, 17920, 17976, 18032, 18088, 18144, 18200, 18256, 18312, 18368, 18424, 18480, 18536, 18592, 18648, 18704, 18760, 18816, 18872, 18928, 18984, 19040, 19096, 19152, 19208, 19264, 19320, 19376, 19432, 19488, 19544, 19600, 19656, 19712, 19768, 19824, 19880, 19936, 19992, 20048, 20104, 20160, 20216, 20272, 20328, 20384, 20440, 20496, 20552, 20608, 20664, 20720, 20776, 20832, 20888, 20944, 21000, 21056, 21112, 21168, 21224, 21280, 21336, 21392, 21448, 21504, 21560, 21616, 21672, 21728, 21784, 21840, 21896, 21952, 22008, 22064, 22120, 22176, 22232, 22288, 22344, 22400, 22456, 22512, 22568, 22624, 22680, 22736, 22792, 22848, 22904, 22960, 23016, 23072, 23128, 23184, 23240, 23296, 23352, 23408, 23464, 23520, 23576, 23632, 23688, 23744, 23800, 23856, 23912, 23968, 24024, 24080, 24136, 24192, 24248, 24304, 24360, 24416, 24472, 24528, 24584, 24640, 24696, 24752, 24808, 24864, 24920, 24976, 25032, 25088, 25144, 25200, 25256, 25312, 25368, 25424, 25480, 25536, 25592, 25648, 25704, 25760, 25816, 25872, 25928, 25984, 26040, 26096, 26152, 26208, 26264, 26320, 26376, 26432, 26488, 26544, 26600, 26656, 26712, 26768, 26824, 26880, 26936, 26992, 27048, 27104, 27160, 27216, 27272, 27328, 27384, 27440, 27496, 27552, 27608, 27664, 27720, 27776, 27832, 27888, 27944, 28000, 28056, 28112, 28168, 28224, 28280, 28336, 28392, 28448, 28504, 28560, 28616, 28672, 28728, 28784, 28840, 28896, 28952, 29008, 29064, 29120, 29176, 29232, 29288, 29344, 29400, 29456, 29512, 29568, 29624, 29680, 29736, 29792, 29848, 29904, 29960, 30016, 30072, 30128, 30184, 30240, 30296, 30352, 30408, 30464, 30520, 30576, 30632, 30688, 30744, 30800, 30856, 30912, 30968, 31024, 31080, 31136, 31192, 31248, 31304, 31360, 31416, 31472, 31528, 31584, 31640, 31696, 31752, 31808, 31864, 31920, 31976, 32032, 32088, 32144, 32200, 32256, 32312, 32368, 32424, 32480, 32536, 32592, 32648, 32704, 32760, 32816, 32872, 32928, 32984, 33040, 33096, 33152, 33208, 33264, 33320, 33376, 33432, 33488, 33544, 33600, 33656, 33712, 33768, 33824, 33880, 33936, 33992, 34048, 34104, 34160, 34216, 34272, 34328, 34384, 34440, 34496, 34552, 34608, 34664, 34720, 34776, 34832, 34888, 34944, 35000, 35056, 35112, 35168, 35224, 35280, 35336, 35392, 35448, 35504, 35560, 35616, 35672, 35728, 35784, 35840, 35896, 35952, 36008, 36064, 36120, 36176, 36232, 36288, 36344, 36400, 36456, 36512, 36568, 36624, 36680, 36736, 36792, 36848, 36904, 36960, 37016, 37072, 37128, 37184, 37240, 37296, 37352, 37408, 37464, 37520, 37576, 37632, 37688, 37744, 37800, 37856, 37912, 37968, 38024, 38080, 38136, 38192, 38248, 38304, 38360, 38416, 38472, 38528, 38584, 38640, 38696, 38752, 38808, 38864, 38920, 38976, 39032, 39088, 39144, 39200, 39256, 39312, 39368, 39424, 39480, 39536, 39592, 39648, 39704, 39760, 39816, 39872, 39928, 39984, 40040, 40096, 40152, 40208, 40264, 40320, 40376, 40432, 40488, 40544, 40600, 40656, 40712, 40768, 40824, 40880, 40936, 40992, 41048, 41104, 41160, 41216, 41272, 41328, 41384, 41440, 41496, 41552, 41608, 41664, 41720, 41776, 41832, 41888, 41944, 42000, 42056, 42112, 42168, 42224, 42280, 42336, 42392, 42448, 42504, 42560, 42616, 42672, 42728, 42784, 42840, 42896, 42952, 43008, 43064, 43120, 43176, 43232, 43288, 43344, 43400, 43456, 43512, 43568, 43624, 43680, 43736, 43792, 43848, 43904, 43960, 44016, 44072, 44128, 44184, 44240, 44296, 44352, 44408, 44464, 44520, 44576, 44632, 44688, 44744, 44800, 44856, 44912, 44968, 45024, 45080, 45136, 45192, 45248, 45304, 45360, 45416, 45472, 45528, 45584, 45640, 45696, 45752, 45808, 45864, 45920, 45976, 46032, 46088, 46144, 46200, 46256, 46312, 46368, 46424, 46480, 46536, 46592, 46648, 46704, 46760, 46816, 46872, 46928, 46984, 47040, 47096, 47152, 47208, 47264, 47320, 47376, 47432, 47488, 47544, 47600, 47656, 47712, 47768, 47824, 47880, 47936, 47992, 48048, 48104, 48160, 48216, 48272, 48328, 48384, 48440, 48496, 48552, 48608, 48664, 48720, 48776, 48832, 48888, 48944, 49000, 49056, 49112, 49168, 49224, 49280, 49336, 49392, 49448, 49504, 49560, 49616, 49672, 49728, 49784, 49840, 49896, 49952, 50008, 50064, 50120, 50176, 50232, 50288, 50344, 50400, 50456, 50512, 50568, 50624, 50680, 50736, 50792, 50848, 50904, 50960, 51016, 51072, 51128, 51184, 51240, 51296, 51352, 51408, 51464, 51520, 51576, 51632, 51688, 51744, 51800, 51856, 51912, 51968, 52024, 52080, 52136, 52192, 52248, 52304, 52360, 52416, 52472, 52528, 52584, 52640, 52696, 52752, 52808, 52864, 52920, 52976, 53032, 53088, 53144, 53200, 53256, 53312, 53368, 53424, 53480, 53536, 53592, 53648, 53704, 53760, 53816, 53872, 53928, 53984, 54040, 54096, 54152, 54208, 54264, 54320, 54376, 54432, 54488, 54544, 54600, 54656, 54712, 54768, 54824, 54880, 54936, 54992, 55048, 55104, 55160, 55216, 55272, 55328, 55384, 55440, 55496, 55552, 55608, 55664, 55720, 55776, 55832, 55888, 55944, 56000, 56056, 56112, 56168, 56224, 56280, 56336, 56392, 56448, 56504, 56560, 56616, 56672, 56728, 56784, 56840, 56896, 56952, 57008, 57064, 57120, 57176, 57232, 57288, 57344, 57400, 57456, 57512, 57568, 57624, 57680, 57736, 57792, 57848, 57904, 57960, 58016, 58072, 58128, 58184, 58240, 58296, 58352, 58408, 58464, 58520, 58576, 58632, 58688, 58744, 58800, 58856, 58912, 58968, 59024, 59080, 59136, 59192, 59248, 59304, 59360, 59416, 59472, 59528, 59584, 59640, 59696, 59752, 59808, 59864, 59920, 59976, 60032, 60088, 60144, 60200, 60256, 60312, 60368, 60424, 60480, 60536, 60592, 60648, 60704, 60760, 60816, 60872, 60928, 60984, 61040, 61096, 61152, 61208, 61264, 61320, 61376, 61432, 61488, 61544, 61600, 61656, 61712, 61768, 61824, 61880, 61936, 61992, 62048, 62104, 62160, 62216, 62272, 62328, 62384, 62440, 62496, 62552, 62608, 62664, 62720, 62776, 62832, 62888, 62944, 63000, 63056, 63112, 63168, 63224, 63280, 63336, 63392, 63448, 63504, 63560, 63616, 63672, 63728, 63784, 63840, 63896, 63952, 64008, 64064, 64120, 64176, 64232, 64288, 64344, 64400, 64456, 64512, 64568, 64624, 64680, 64736, 64792, 64848, 64904, 64960, 65016, 65072, 65128, 65184, 65240, 65296, 65352, 65408, 65464, 65520, 65576, 65632, 65688, 65744, 65800, 65856, 65912, 65968, 66024, 66080, 66136, 66192, 66248, 66304, 66360, 66416, 66472, 66528, 66584, 66640, 66696, 66752, 66808, 66864, 66920, 66976, 67032, 67088, 67144, 67200, 67256, 67312, 67368, 67424, 67480, 67536, 67592, 67648, 67704, 67760, 67816, 67872, 67928, 67984, 68040, 68096, 68152, 68208, 68264, 68320, 68376, 68432, 68488, 68544, 68600, 68656, 68712, 68768, 68824, 68880, 68936, 68992, 69048, 69104, 69160, 69216, 69272, 69328, 69384, 69440, 69496, 69552, 69608, 69664, 69720, 69776, 69832, 69888, 69944, 70000, 70056, 70112, 70168, 70224, 70280, 70336, 70392, 70448, 70504, 70560, 70616, 70672, 70728, 70784, 70840, 70896, 70952, 71008, 71064, 71120, 71176, 71232, 71288, 71344, 71400, 71456, 71512, 71568, 71624, 71680, 71736, 71792, 71848, 71904, 71960, 72016, 72072, 72128, 72184, 72240, 72296, 72352, 72408, 72464, 72520, 72576, 72632, 72688, 72744, 72800, 72856, 72912, 72968, 73024, 73080, 73136, 73192, 73248, 73304, 73360, 73416, 73472, 73528, 73584, 73640, 73696, 73752, 73808, 73864, 73920, 73976, 74032, 74088, 74144, 74200, 74256, 74312, 74368, 74424, 74480, 74536, 74592, 74648, 74704, 74760, 74816, 74872, 74928, 74984, 75040, 75096, 75152, 75208, 75264, 75320, 75376, 75432, 75488, 75544, 75600, 75656, 75712, 75768, 75824, 75880, 75936, 75992, 76048, 76104, 76160, 76216, 76272, 76328, 76384, 76440, 76496, 76552, 76608, 76664, 76720, 76776, 76832, 76888, 76944, 77000, 77056, 77112, 77168, 77224, 77280, 77336, 77392, 77448, 77504, 77560, 77616, 77672, 77728, 77784, 77840, 77896, 77952, 78008, 78064, 78120, 78176, 78232, 78288, 78344, 78400, 78456, 78512, 78568, 78624, 78680, 78736, 78792, 78848, 78904, 78960, 79016, 79072, 79128, 79184, 79240, 79296, 79352, 79408, 79464, 79520, 79576, 79632, 79688, 79744, 79800, 79856, 79912, 79968, 80024, 80080, 80136, 80192, 80248, 80304, 80360, 80416, 80472, 80528, 80584, 80640, 80696, 80752, 80808, 80864, 80920, 80976, 81032, 81088, 81144, 81200, 81256, 81312, 81368, 81424, 81480, 81536, 81592, 81648, 81704, 81760, 81816, 81872, 81928, 81984, 82040, 82096, 82152, 82208, 82264, 82320, 82376, 82432, 82488, 82544, 82600, 82656, 82712, 82768, 82824, 82880, 82936, 82992, 83048, 83104, 83160, 83216, 83272, 83328, 83384, 83440, 83496, 83552, 83608, 83664, 83720, 83776, 83832, 83888, 83944, 84000, 84056, 84112, 84168, 84224, 84280, 84336, 84392, 84448, 84504, 84560, 84616, 84672, 84728, 84784, 84840, 84896, 84952, 85008, 85064, 85120, 85176, 85232, 85288, 85344, 85400, 85456, 85512, 85568, 85624, 85680, 85736, 85792, 85848, 85904, 85960, 86016, 86072, 86128, 86184, 86240, 86296, 86352, 86408, 86464, 86520, 86576, 86632, 86688, 86744, 86800, 86856, 86912, 86968, 87024, 87080, 87136, 87192, 87248, 87304, 87360, 87416, 87472, 87528, 87584, 87640, 87696, 87752, 87808, 87864, 87920, 87976, 88032, 88088, 88144, 88200, 88256, 88312, 88368, 88424, 88480, 88536, 88592, 88648, 88704, 88760, 88816, 88872, 88928, 88984, 89040, 89096, 89152, 89208, 89264, 89320, 89376, 89432, 89488, 89544, 89600, 89656, 89712, 89768, 89824, 89880, 89936, 89992, 90048, 90104, 90160, 90216, 90272, 90328, 90384, 90440, 90496, 90552, 90608, 90664, 90720, 90776, 90832, 90888, 90944, 91000, 91056, 91112, 91168, 91224, 91280, 91336, 91392, 91448, 91504, 91560, 91616, 91672, 91728, 91784, 91840, 91896, 91952, 92008, 92064, 92120, 92176, 92232, 92288, 92344, 92400, 92456, 92512, 92568, 92624, 92680, 92736, 92792, 92848, 92904, 92960, 93016, 93072, 93128, 93184, 93240, 93296, 93352, 93408, 93464, 93520, 93576, 93632, 93688, 93744, 93800, 93856, 93912, 93968, 94024, 94080, 94136, 94192, 94248, 94304, 94360, 94416, 94472, 94528, 94584, 94640, 94696, 94752, 94808, 94864, 94920, 94976, 95032, 95088, 95144, 95200, 95256, 95312, 95368, 95424, 95480, 95536, 95592, 95648, 95704, 95760, 95816, 95872, 95928, 95984, 96040, 96096, 96152, 96208, 96264, 96320, 96376, 96432, 96488, 96544, 96600, 96656, 96712, 96768, 96824, 96880, 96936, 96992, 97048, 97104, 97160, 97216, 97272, 97328, 97384, 97440, 97496, 97552, 97608, 97664, 97720, 97776, 97832, 97888, 97944, 98000, 98056, 98112, 98168, 98224, 98280, 98336, 98392, 98448, 98504, 98560, 98616, 98672, 98728, 98784, 98840, 98896, 98952, 99008, 99064, 99120, 99176, 99232, 99288, 99344, 99400, 99456, 99512, 99568, 99624, 99680, 99736, 99792, 99848, 99904, 99960

How to find the numbers divisible by 56?

Finding all the numbers that can be divided by 56 is essentially the same as searching for the multiples of 56: if a number N is a multiple of 56, then 56 is a divisor of N.

Indeed, if we assume that N is a multiple of 56, this means there exists an integer k such that:

k × 56 = N

Conversely, the result of N divided by 56 is this same integer k (without any remainder):

k = N 56

From this we can see that, theoretically, there's an infinite quantity of multiples of 56 (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 56 less than 100000):

  • 1 × 56 = 56
  • 2 × 56 = 112
  • 3 × 56 = 168
  • ...
  • 1784 × 56 = 99904
  • 1785 × 56 = 99960