What are the numbers divisible by 666?

666, 1332, 1998, 2664, 3330, 3996, 4662, 5328, 5994, 6660, 7326, 7992, 8658, 9324, 9990, 10656, 11322, 11988, 12654, 13320, 13986, 14652, 15318, 15984, 16650, 17316, 17982, 18648, 19314, 19980, 20646, 21312, 21978, 22644, 23310, 23976, 24642, 25308, 25974, 26640, 27306, 27972, 28638, 29304, 29970, 30636, 31302, 31968, 32634, 33300, 33966, 34632, 35298, 35964, 36630, 37296, 37962, 38628, 39294, 39960, 40626, 41292, 41958, 42624, 43290, 43956, 44622, 45288, 45954, 46620, 47286, 47952, 48618, 49284, 49950, 50616, 51282, 51948, 52614, 53280, 53946, 54612, 55278, 55944, 56610, 57276, 57942, 58608, 59274, 59940, 60606, 61272, 61938, 62604, 63270, 63936, 64602, 65268, 65934, 66600, 67266, 67932, 68598, 69264, 69930, 70596, 71262, 71928, 72594, 73260, 73926, 74592, 75258, 75924, 76590, 77256, 77922, 78588, 79254, 79920, 80586, 81252, 81918, 82584, 83250, 83916, 84582, 85248, 85914, 86580, 87246, 87912, 88578, 89244, 89910, 90576, 91242, 91908, 92574, 93240, 93906, 94572, 95238, 95904, 96570, 97236, 97902, 98568, 99234, 99900

How to find the numbers divisible by 666?

Finding all the numbers that can be divided by 666 is essentially the same as searching for the multiples of 666: if a number N is a multiple of 666, then 666 is a divisor of N.

Indeed, if we assume that N is a multiple of 666, this means there exists an integer k such that:

k × 666 = N

Conversely, the result of N divided by 666 is this same integer k (without any remainder):

k = N 666

From this we can see that, theoretically, there's an infinite quantity of multiples of 666 (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 666 less than 100000):

  • 1 × 666 = 666
  • 2 × 666 = 1332
  • 3 × 666 = 1998
  • ...
  • 149 × 666 = 99234
  • 150 × 666 = 99900