What are the numbers divisible by 675?

675, 1350, 2025, 2700, 3375, 4050, 4725, 5400, 6075, 6750, 7425, 8100, 8775, 9450, 10125, 10800, 11475, 12150, 12825, 13500, 14175, 14850, 15525, 16200, 16875, 17550, 18225, 18900, 19575, 20250, 20925, 21600, 22275, 22950, 23625, 24300, 24975, 25650, 26325, 27000, 27675, 28350, 29025, 29700, 30375, 31050, 31725, 32400, 33075, 33750, 34425, 35100, 35775, 36450, 37125, 37800, 38475, 39150, 39825, 40500, 41175, 41850, 42525, 43200, 43875, 44550, 45225, 45900, 46575, 47250, 47925, 48600, 49275, 49950, 50625, 51300, 51975, 52650, 53325, 54000, 54675, 55350, 56025, 56700, 57375, 58050, 58725, 59400, 60075, 60750, 61425, 62100, 62775, 63450, 64125, 64800, 65475, 66150, 66825, 67500, 68175, 68850, 69525, 70200, 70875, 71550, 72225, 72900, 73575, 74250, 74925, 75600, 76275, 76950, 77625, 78300, 78975, 79650, 80325, 81000, 81675, 82350, 83025, 83700, 84375, 85050, 85725, 86400, 87075, 87750, 88425, 89100, 89775, 90450, 91125, 91800, 92475, 93150, 93825, 94500, 95175, 95850, 96525, 97200, 97875, 98550, 99225, 99900

How to find the numbers divisible by 675?

Finding all the numbers that can be divided by 675 is essentially the same as searching for the multiples of 675: if a number N is a multiple of 675, then 675 is a divisor of N.

Indeed, if we assume that N is a multiple of 675, this means there exists an integer k such that:

k × 675 = N

Conversely, the result of N divided by 675 is this same integer k (without any remainder):

k = N 675

From this we can see that, theoretically, there's an infinite quantity of multiples of 675 (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 675 less than 100000):

  • 1 × 675 = 675
  • 2 × 675 = 1350
  • 3 × 675 = 2025
  • ...
  • 147 × 675 = 99225
  • 148 × 675 = 99900