What are the numbers divisible by 396?

396, 792, 1188, 1584, 1980, 2376, 2772, 3168, 3564, 3960, 4356, 4752, 5148, 5544, 5940, 6336, 6732, 7128, 7524, 7920, 8316, 8712, 9108, 9504, 9900, 10296, 10692, 11088, 11484, 11880, 12276, 12672, 13068, 13464, 13860, 14256, 14652, 15048, 15444, 15840, 16236, 16632, 17028, 17424, 17820, 18216, 18612, 19008, 19404, 19800, 20196, 20592, 20988, 21384, 21780, 22176, 22572, 22968, 23364, 23760, 24156, 24552, 24948, 25344, 25740, 26136, 26532, 26928, 27324, 27720, 28116, 28512, 28908, 29304, 29700, 30096, 30492, 30888, 31284, 31680, 32076, 32472, 32868, 33264, 33660, 34056, 34452, 34848, 35244, 35640, 36036, 36432, 36828, 37224, 37620, 38016, 38412, 38808, 39204, 39600, 39996, 40392, 40788, 41184, 41580, 41976, 42372, 42768, 43164, 43560, 43956, 44352, 44748, 45144, 45540, 45936, 46332, 46728, 47124, 47520, 47916, 48312, 48708, 49104, 49500, 49896, 50292, 50688, 51084, 51480, 51876, 52272, 52668, 53064, 53460, 53856, 54252, 54648, 55044, 55440, 55836, 56232, 56628, 57024, 57420, 57816, 58212, 58608, 59004, 59400, 59796, 60192, 60588, 60984, 61380, 61776, 62172, 62568, 62964, 63360, 63756, 64152, 64548, 64944, 65340, 65736, 66132, 66528, 66924, 67320, 67716, 68112, 68508, 68904, 69300, 69696, 70092, 70488, 70884, 71280, 71676, 72072, 72468, 72864, 73260, 73656, 74052, 74448, 74844, 75240, 75636, 76032, 76428, 76824, 77220, 77616, 78012, 78408, 78804, 79200, 79596, 79992, 80388, 80784, 81180, 81576, 81972, 82368, 82764, 83160, 83556, 83952, 84348, 84744, 85140, 85536, 85932, 86328, 86724, 87120, 87516, 87912, 88308, 88704, 89100, 89496, 89892, 90288, 90684, 91080, 91476, 91872, 92268, 92664, 93060, 93456, 93852, 94248, 94644, 95040, 95436, 95832, 96228, 96624, 97020, 97416, 97812, 98208, 98604, 99000, 99396, 99792

How to find the numbers divisible by 396?

Finding all the numbers that can be divided by 396 is essentially the same as searching for the multiples of 396: if a number N is a multiple of 396, then 396 is a divisor of N.

Indeed, if we assume that N is a multiple of 396, this means there exists an integer k such that:

k × 396 = N

Conversely, the result of N divided by 396 is this same integer k (without any remainder):

k = N 396

From this we can see that, theoretically, there's an infinite quantity of multiples of 396 (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 396 less than 100000):

  • 1 × 396 = 396
  • 2 × 396 = 792
  • 3 × 396 = 1188
  • ...
  • 251 × 396 = 99396
  • 252 × 396 = 99792