What are the numbers divisible by 180?

180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, 7560, 7740, 7920, 8100, 8280, 8460, 8640, 8820, 9000, 9180, 9360, 9540, 9720, 9900, 10080, 10260, 10440, 10620, 10800, 10980, 11160, 11340, 11520, 11700, 11880, 12060, 12240, 12420, 12600, 12780, 12960, 13140, 13320, 13500, 13680, 13860, 14040, 14220, 14400, 14580, 14760, 14940, 15120, 15300, 15480, 15660, 15840, 16020, 16200, 16380, 16560, 16740, 16920, 17100, 17280, 17460, 17640, 17820, 18000, 18180, 18360, 18540, 18720, 18900, 19080, 19260, 19440, 19620, 19800, 19980, 20160, 20340, 20520, 20700, 20880, 21060, 21240, 21420, 21600, 21780, 21960, 22140, 22320, 22500, 22680, 22860, 23040, 23220, 23400, 23580, 23760, 23940, 24120, 24300, 24480, 24660, 24840, 25020, 25200, 25380, 25560, 25740, 25920, 26100, 26280, 26460, 26640, 26820, 27000, 27180, 27360, 27540, 27720, 27900, 28080, 28260, 28440, 28620, 28800, 28980, 29160, 29340, 29520, 29700, 29880, 30060, 30240, 30420, 30600, 30780, 30960, 31140, 31320, 31500, 31680, 31860, 32040, 32220, 32400, 32580, 32760, 32940, 33120, 33300, 33480, 33660, 33840, 34020, 34200, 34380, 34560, 34740, 34920, 35100, 35280, 35460, 35640, 35820, 36000, 36180, 36360, 36540, 36720, 36900, 37080, 37260, 37440, 37620, 37800, 37980, 38160, 38340, 38520, 38700, 38880, 39060, 39240, 39420, 39600, 39780, 39960, 40140, 40320, 40500, 40680, 40860, 41040, 41220, 41400, 41580, 41760, 41940, 42120, 42300, 42480, 42660, 42840, 43020, 43200, 43380, 43560, 43740, 43920, 44100, 44280, 44460, 44640, 44820, 45000, 45180, 45360, 45540, 45720, 45900, 46080, 46260, 46440, 46620, 46800, 46980, 47160, 47340, 47520, 47700, 47880, 48060, 48240, 48420, 48600, 48780, 48960, 49140, 49320, 49500, 49680, 49860, 50040, 50220, 50400, 50580, 50760, 50940, 51120, 51300, 51480, 51660, 51840, 52020, 52200, 52380, 52560, 52740, 52920, 53100, 53280, 53460, 53640, 53820, 54000, 54180, 54360, 54540, 54720, 54900, 55080, 55260, 55440, 55620, 55800, 55980, 56160, 56340, 56520, 56700, 56880, 57060, 57240, 57420, 57600, 57780, 57960, 58140, 58320, 58500, 58680, 58860, 59040, 59220, 59400, 59580, 59760, 59940, 60120, 60300, 60480, 60660, 60840, 61020, 61200, 61380, 61560, 61740, 61920, 62100, 62280, 62460, 62640, 62820, 63000, 63180, 63360, 63540, 63720, 63900, 64080, 64260, 64440, 64620, 64800, 64980, 65160, 65340, 65520, 65700, 65880, 66060, 66240, 66420, 66600, 66780, 66960, 67140, 67320, 67500, 67680, 67860, 68040, 68220, 68400, 68580, 68760, 68940, 69120, 69300, 69480, 69660, 69840, 70020, 70200, 70380, 70560, 70740, 70920, 71100, 71280, 71460, 71640, 71820, 72000, 72180, 72360, 72540, 72720, 72900, 73080, 73260, 73440, 73620, 73800, 73980, 74160, 74340, 74520, 74700, 74880, 75060, 75240, 75420, 75600, 75780, 75960, 76140, 76320, 76500, 76680, 76860, 77040, 77220, 77400, 77580, 77760, 77940, 78120, 78300, 78480, 78660, 78840, 79020, 79200, 79380, 79560, 79740, 79920, 80100, 80280, 80460, 80640, 80820, 81000, 81180, 81360, 81540, 81720, 81900, 82080, 82260, 82440, 82620, 82800, 82980, 83160, 83340, 83520, 83700, 83880, 84060, 84240, 84420, 84600, 84780, 84960, 85140, 85320, 85500, 85680, 85860, 86040, 86220, 86400, 86580, 86760, 86940, 87120, 87300, 87480, 87660, 87840, 88020, 88200, 88380, 88560, 88740, 88920, 89100, 89280, 89460, 89640, 89820, 90000, 90180, 90360, 90540, 90720, 90900, 91080, 91260, 91440, 91620, 91800, 91980, 92160, 92340, 92520, 92700, 92880, 93060, 93240, 93420, 93600, 93780, 93960, 94140, 94320, 94500, 94680, 94860, 95040, 95220, 95400, 95580, 95760, 95940, 96120, 96300, 96480, 96660, 96840, 97020, 97200, 97380, 97560, 97740, 97920, 98100, 98280, 98460, 98640, 98820, 99000, 99180, 99360, 99540, 99720, 99900

How to find the numbers divisible by 180?

Finding all the numbers that can be divided by 180 is essentially the same as searching for the multiples of 180: if a number N is a multiple of 180, then 180 is a divisor of N.

Indeed, if we assume that N is a multiple of 180, this means there exists an integer k such that:

k × 180 = N

Conversely, the result of N divided by 180 is this same integer k (without any remainder):

k = N 180

From this we can see that, theoretically, there's an infinite quantity of multiples of 180 (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 180 less than 100000):

  • 1 × 180 = 180
  • 2 × 180 = 360
  • 3 × 180 = 540
  • ...
  • 554 × 180 = 99720
  • 555 × 180 = 99900