What are the numbers divisible by 225?

225, 450, 675, 900, 1125, 1350, 1575, 1800, 2025, 2250, 2475, 2700, 2925, 3150, 3375, 3600, 3825, 4050, 4275, 4500, 4725, 4950, 5175, 5400, 5625, 5850, 6075, 6300, 6525, 6750, 6975, 7200, 7425, 7650, 7875, 8100, 8325, 8550, 8775, 9000, 9225, 9450, 9675, 9900, 10125, 10350, 10575, 10800, 11025, 11250, 11475, 11700, 11925, 12150, 12375, 12600, 12825, 13050, 13275, 13500, 13725, 13950, 14175, 14400, 14625, 14850, 15075, 15300, 15525, 15750, 15975, 16200, 16425, 16650, 16875, 17100, 17325, 17550, 17775, 18000, 18225, 18450, 18675, 18900, 19125, 19350, 19575, 19800, 20025, 20250, 20475, 20700, 20925, 21150, 21375, 21600, 21825, 22050, 22275, 22500, 22725, 22950, 23175, 23400, 23625, 23850, 24075, 24300, 24525, 24750, 24975, 25200, 25425, 25650, 25875, 26100, 26325, 26550, 26775, 27000, 27225, 27450, 27675, 27900, 28125, 28350, 28575, 28800, 29025, 29250, 29475, 29700, 29925, 30150, 30375, 30600, 30825, 31050, 31275, 31500, 31725, 31950, 32175, 32400, 32625, 32850, 33075, 33300, 33525, 33750, 33975, 34200, 34425, 34650, 34875, 35100, 35325, 35550, 35775, 36000, 36225, 36450, 36675, 36900, 37125, 37350, 37575, 37800, 38025, 38250, 38475, 38700, 38925, 39150, 39375, 39600, 39825, 40050, 40275, 40500, 40725, 40950, 41175, 41400, 41625, 41850, 42075, 42300, 42525, 42750, 42975, 43200, 43425, 43650, 43875, 44100, 44325, 44550, 44775, 45000, 45225, 45450, 45675, 45900, 46125, 46350, 46575, 46800, 47025, 47250, 47475, 47700, 47925, 48150, 48375, 48600, 48825, 49050, 49275, 49500, 49725, 49950, 50175, 50400, 50625, 50850, 51075, 51300, 51525, 51750, 51975, 52200, 52425, 52650, 52875, 53100, 53325, 53550, 53775, 54000, 54225, 54450, 54675, 54900, 55125, 55350, 55575, 55800, 56025, 56250, 56475, 56700, 56925, 57150, 57375, 57600, 57825, 58050, 58275, 58500, 58725, 58950, 59175, 59400, 59625, 59850, 60075, 60300, 60525, 60750, 60975, 61200, 61425, 61650, 61875, 62100, 62325, 62550, 62775, 63000, 63225, 63450, 63675, 63900, 64125, 64350, 64575, 64800, 65025, 65250, 65475, 65700, 65925, 66150, 66375, 66600, 66825, 67050, 67275, 67500, 67725, 67950, 68175, 68400, 68625, 68850, 69075, 69300, 69525, 69750, 69975, 70200, 70425, 70650, 70875, 71100, 71325, 71550, 71775, 72000, 72225, 72450, 72675, 72900, 73125, 73350, 73575, 73800, 74025, 74250, 74475, 74700, 74925, 75150, 75375, 75600, 75825, 76050, 76275, 76500, 76725, 76950, 77175, 77400, 77625, 77850, 78075, 78300, 78525, 78750, 78975, 79200, 79425, 79650, 79875, 80100, 80325, 80550, 80775, 81000, 81225, 81450, 81675, 81900, 82125, 82350, 82575, 82800, 83025, 83250, 83475, 83700, 83925, 84150, 84375, 84600, 84825, 85050, 85275, 85500, 85725, 85950, 86175, 86400, 86625, 86850, 87075, 87300, 87525, 87750, 87975, 88200, 88425, 88650, 88875, 89100, 89325, 89550, 89775, 90000, 90225, 90450, 90675, 90900, 91125, 91350, 91575, 91800, 92025, 92250, 92475, 92700, 92925, 93150, 93375, 93600, 93825, 94050, 94275, 94500, 94725, 94950, 95175, 95400, 95625, 95850, 96075, 96300, 96525, 96750, 96975, 97200, 97425, 97650, 97875, 98100, 98325, 98550, 98775, 99000, 99225, 99450, 99675, 99900

How to find the numbers divisible by 225?

Finding all the numbers that can be divided by 225 is essentially the same as searching for the multiples of 225: if a number N is a multiple of 225, then 225 is a divisor of N.

Indeed, if we assume that N is a multiple of 225, this means there exists an integer k such that:

k × 225 = N

Conversely, the result of N divided by 225 is this same integer k (without any remainder):

k = N 225

From this we can see that, theoretically, there's an infinite quantity of multiples of 225 (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 225 less than 100000):

  • 1 × 225 = 225
  • 2 × 225 = 450
  • 3 × 225 = 675
  • ...
  • 443 × 225 = 99675
  • 444 × 225 = 99900