What are the numbers divisible by 120?

120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200, 1320, 1440, 1560, 1680, 1800, 1920, 2040, 2160, 2280, 2400, 2520, 2640, 2760, 2880, 3000, 3120, 3240, 3360, 3480, 3600, 3720, 3840, 3960, 4080, 4200, 4320, 4440, 4560, 4680, 4800, 4920, 5040, 5160, 5280, 5400, 5520, 5640, 5760, 5880, 6000, 6120, 6240, 6360, 6480, 6600, 6720, 6840, 6960, 7080, 7200, 7320, 7440, 7560, 7680, 7800, 7920, 8040, 8160, 8280, 8400, 8520, 8640, 8760, 8880, 9000, 9120, 9240, 9360, 9480, 9600, 9720, 9840, 9960, 10080, 10200, 10320, 10440, 10560, 10680, 10800, 10920, 11040, 11160, 11280, 11400, 11520, 11640, 11760, 11880, 12000, 12120, 12240, 12360, 12480, 12600, 12720, 12840, 12960, 13080, 13200, 13320, 13440, 13560, 13680, 13800, 13920, 14040, 14160, 14280, 14400, 14520, 14640, 14760, 14880, 15000, 15120, 15240, 15360, 15480, 15600, 15720, 15840, 15960, 16080, 16200, 16320, 16440, 16560, 16680, 16800, 16920, 17040, 17160, 17280, 17400, 17520, 17640, 17760, 17880, 18000, 18120, 18240, 18360, 18480, 18600, 18720, 18840, 18960, 19080, 19200, 19320, 19440, 19560, 19680, 19800, 19920, 20040, 20160, 20280, 20400, 20520, 20640, 20760, 20880, 21000, 21120, 21240, 21360, 21480, 21600, 21720, 21840, 21960, 22080, 22200, 22320, 22440, 22560, 22680, 22800, 22920, 23040, 23160, 23280, 23400, 23520, 23640, 23760, 23880, 24000, 24120, 24240, 24360, 24480, 24600, 24720, 24840, 24960, 25080, 25200, 25320, 25440, 25560, 25680, 25800, 25920, 26040, 26160, 26280, 26400, 26520, 26640, 26760, 26880, 27000, 27120, 27240, 27360, 27480, 27600, 27720, 27840, 27960, 28080, 28200, 28320, 28440, 28560, 28680, 28800, 28920, 29040, 29160, 29280, 29400, 29520, 29640, 29760, 29880, 30000, 30120, 30240, 30360, 30480, 30600, 30720, 30840, 30960, 31080, 31200, 31320, 31440, 31560, 31680, 31800, 31920, 32040, 32160, 32280, 32400, 32520, 32640, 32760, 32880, 33000, 33120, 33240, 33360, 33480, 33600, 33720, 33840, 33960, 34080, 34200, 34320, 34440, 34560, 34680, 34800, 34920, 35040, 35160, 35280, 35400, 35520, 35640, 35760, 35880, 36000, 36120, 36240, 36360, 36480, 36600, 36720, 36840, 36960, 37080, 37200, 37320, 37440, 37560, 37680, 37800, 37920, 38040, 38160, 38280, 38400, 38520, 38640, 38760, 38880, 39000, 39120, 39240, 39360, 39480, 39600, 39720, 39840, 39960, 40080, 40200, 40320, 40440, 40560, 40680, 40800, 40920, 41040, 41160, 41280, 41400, 41520, 41640, 41760, 41880, 42000, 42120, 42240, 42360, 42480, 42600, 42720, 42840, 42960, 43080, 43200, 43320, 43440, 43560, 43680, 43800, 43920, 44040, 44160, 44280, 44400, 44520, 44640, 44760, 44880, 45000, 45120, 45240, 45360, 45480, 45600, 45720, 45840, 45960, 46080, 46200, 46320, 46440, 46560, 46680, 46800, 46920, 47040, 47160, 47280, 47400, 47520, 47640, 47760, 47880, 48000, 48120, 48240, 48360, 48480, 48600, 48720, 48840, 48960, 49080, 49200, 49320, 49440, 49560, 49680, 49800, 49920, 50040, 50160, 50280, 50400, 50520, 50640, 50760, 50880, 51000, 51120, 51240, 51360, 51480, 51600, 51720, 51840, 51960, 52080, 52200, 52320, 52440, 52560, 52680, 52800, 52920, 53040, 53160, 53280, 53400, 53520, 53640, 53760, 53880, 54000, 54120, 54240, 54360, 54480, 54600, 54720, 54840, 54960, 55080, 55200, 55320, 55440, 55560, 55680, 55800, 55920, 56040, 56160, 56280, 56400, 56520, 56640, 56760, 56880, 57000, 57120, 57240, 57360, 57480, 57600, 57720, 57840, 57960, 58080, 58200, 58320, 58440, 58560, 58680, 58800, 58920, 59040, 59160, 59280, 59400, 59520, 59640, 59760, 59880, 60000, 60120, 60240, 60360, 60480, 60600, 60720, 60840, 60960, 61080, 61200, 61320, 61440, 61560, 61680, 61800, 61920, 62040, 62160, 62280, 62400, 62520, 62640, 62760, 62880, 63000, 63120, 63240, 63360, 63480, 63600, 63720, 63840, 63960, 64080, 64200, 64320, 64440, 64560, 64680, 64800, 64920, 65040, 65160, 65280, 65400, 65520, 65640, 65760, 65880, 66000, 66120, 66240, 66360, 66480, 66600, 66720, 66840, 66960, 67080, 67200, 67320, 67440, 67560, 67680, 67800, 67920, 68040, 68160, 68280, 68400, 68520, 68640, 68760, 68880, 69000, 69120, 69240, 69360, 69480, 69600, 69720, 69840, 69960, 70080, 70200, 70320, 70440, 70560, 70680, 70800, 70920, 71040, 71160, 71280, 71400, 71520, 71640, 71760, 71880, 72000, 72120, 72240, 72360, 72480, 72600, 72720, 72840, 72960, 73080, 73200, 73320, 73440, 73560, 73680, 73800, 73920, 74040, 74160, 74280, 74400, 74520, 74640, 74760, 74880, 75000, 75120, 75240, 75360, 75480, 75600, 75720, 75840, 75960, 76080, 76200, 76320, 76440, 76560, 76680, 76800, 76920, 77040, 77160, 77280, 77400, 77520, 77640, 77760, 77880, 78000, 78120, 78240, 78360, 78480, 78600, 78720, 78840, 78960, 79080, 79200, 79320, 79440, 79560, 79680, 79800, 79920, 80040, 80160, 80280, 80400, 80520, 80640, 80760, 80880, 81000, 81120, 81240, 81360, 81480, 81600, 81720, 81840, 81960, 82080, 82200, 82320, 82440, 82560, 82680, 82800, 82920, 83040, 83160, 83280, 83400, 83520, 83640, 83760, 83880, 84000, 84120, 84240, 84360, 84480, 84600, 84720, 84840, 84960, 85080, 85200, 85320, 85440, 85560, 85680, 85800, 85920, 86040, 86160, 86280, 86400, 86520, 86640, 86760, 86880, 87000, 87120, 87240, 87360, 87480, 87600, 87720, 87840, 87960, 88080, 88200, 88320, 88440, 88560, 88680, 88800, 88920, 89040, 89160, 89280, 89400, 89520, 89640, 89760, 89880, 90000, 90120, 90240, 90360, 90480, 90600, 90720, 90840, 90960, 91080, 91200, 91320, 91440, 91560, 91680, 91800, 91920, 92040, 92160, 92280, 92400, 92520, 92640, 92760, 92880, 93000, 93120, 93240, 93360, 93480, 93600, 93720, 93840, 93960, 94080, 94200, 94320, 94440, 94560, 94680, 94800, 94920, 95040, 95160, 95280, 95400, 95520, 95640, 95760, 95880, 96000, 96120, 96240, 96360, 96480, 96600, 96720, 96840, 96960, 97080, 97200, 97320, 97440, 97560, 97680, 97800, 97920, 98040, 98160, 98280, 98400, 98520, 98640, 98760, 98880, 99000, 99120, 99240, 99360, 99480, 99600, 99720, 99840, 99960

How to find the numbers divisible by 120?

Finding all the numbers that can be divided by 120 is essentially the same as searching for the multiples of 120: if a number N is a multiple of 120, then 120 is a divisor of N.

Indeed, if we assume that N is a multiple of 120, this means there exists an integer k such that:

k × 120 = N

Conversely, the result of N divided by 120 is this same integer k (without any remainder):

k = N 120

From this we can see that, theoretically, there's an infinite quantity of multiples of 120 (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 120 less than 100000):

  • 1 × 120 = 120
  • 2 × 120 = 240
  • 3 × 120 = 360
  • ...
  • 832 × 120 = 99840
  • 833 × 120 = 99960