What are the numbers divisible by 270?
270, 540, 810, 1080, 1350, 1620, 1890, 2160, 2430, 2700, 2970, 3240, 3510, 3780, 4050, 4320, 4590, 4860, 5130, 5400, 5670, 5940, 6210, 6480, 6750, 7020, 7290, 7560, 7830, 8100, 8370, 8640, 8910, 9180, 9450, 9720, 9990, 10260, 10530, 10800, 11070, 11340, 11610, 11880, 12150, 12420, 12690, 12960, 13230, 13500, 13770, 14040, 14310, 14580, 14850, 15120, 15390, 15660, 15930, 16200, 16470, 16740, 17010, 17280, 17550, 17820, 18090, 18360, 18630, 18900, 19170, 19440, 19710, 19980, 20250, 20520, 20790, 21060, 21330, 21600, 21870, 22140, 22410, 22680, 22950, 23220, 23490, 23760, 24030, 24300, 24570, 24840, 25110, 25380, 25650, 25920, 26190, 26460, 26730, 27000, 27270, 27540, 27810, 28080, 28350, 28620, 28890, 29160, 29430, 29700, 29970, 30240, 30510, 30780, 31050, 31320, 31590, 31860, 32130, 32400, 32670, 32940, 33210, 33480, 33750, 34020, 34290, 34560, 34830, 35100, 35370, 35640, 35910, 36180, 36450, 36720, 36990, 37260, 37530, 37800, 38070, 38340, 38610, 38880, 39150, 39420, 39690, 39960, 40230, 40500, 40770, 41040, 41310, 41580, 41850, 42120, 42390, 42660, 42930, 43200, 43470, 43740, 44010, 44280, 44550, 44820, 45090, 45360, 45630, 45900, 46170, 46440, 46710, 46980, 47250, 47520, 47790, 48060, 48330, 48600, 48870, 49140, 49410, 49680, 49950, 50220, 50490, 50760, 51030, 51300, 51570, 51840, 52110, 52380, 52650, 52920, 53190, 53460, 53730, 54000, 54270, 54540, 54810, 55080, 55350, 55620, 55890, 56160, 56430, 56700, 56970, 57240, 57510, 57780, 58050, 58320, 58590, 58860, 59130, 59400, 59670, 59940, 60210, 60480, 60750, 61020, 61290, 61560, 61830, 62100, 62370, 62640, 62910, 63180, 63450, 63720, 63990, 64260, 64530, 64800, 65070, 65340, 65610, 65880, 66150, 66420, 66690, 66960, 67230, 67500, 67770, 68040, 68310, 68580, 68850, 69120, 69390, 69660, 69930, 70200, 70470, 70740, 71010, 71280, 71550, 71820, 72090, 72360, 72630, 72900, 73170, 73440, 73710, 73980, 74250, 74520, 74790, 75060, 75330, 75600, 75870, 76140, 76410, 76680, 76950, 77220, 77490, 77760, 78030, 78300, 78570, 78840, 79110, 79380, 79650, 79920, 80190, 80460, 80730, 81000, 81270, 81540, 81810, 82080, 82350, 82620, 82890, 83160, 83430, 83700, 83970, 84240, 84510, 84780, 85050, 85320, 85590, 85860, 86130, 86400, 86670, 86940, 87210, 87480, 87750, 88020, 88290, 88560, 88830, 89100, 89370, 89640, 89910, 90180, 90450, 90720, 90990, 91260, 91530, 91800, 92070, 92340, 92610, 92880, 93150, 93420, 93690, 93960, 94230, 94500, 94770, 95040, 95310, 95580, 95850, 96120, 96390, 96660, 96930, 97200, 97470, 97740, 98010, 98280, 98550, 98820, 99090, 99360, 99630, 99900
- There is a total of 370 numbers (up to 100000) that are divisible by 270.
- The sum of these numbers is 18531450.
- The arithmetic mean of these numbers is 50085.
How to find the numbers divisible by 270?
Finding all the numbers that can be divided by 270 is essentially the same as searching for the multiples of 270: if a number N is a multiple of 270, then 270 is a divisor of N.
Indeed, if we assume that N is a multiple of 270, this means there exists an integer k such that:
Conversely, the result of N divided by 270 is this same integer k (without any remainder):
From this we can see that, theoretically, there's an infinite quantity of multiples of 270 (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 270 less than 100000):
- 1 × 270 = 270
- 2 × 270 = 540
- 3 × 270 = 810
- ...
- 369 × 270 = 99630
- 370 × 270 = 99900