What are the numbers divisible by 132?

132, 264, 396, 528, 660, 792, 924, 1056, 1188, 1320, 1452, 1584, 1716, 1848, 1980, 2112, 2244, 2376, 2508, 2640, 2772, 2904, 3036, 3168, 3300, 3432, 3564, 3696, 3828, 3960, 4092, 4224, 4356, 4488, 4620, 4752, 4884, 5016, 5148, 5280, 5412, 5544, 5676, 5808, 5940, 6072, 6204, 6336, 6468, 6600, 6732, 6864, 6996, 7128, 7260, 7392, 7524, 7656, 7788, 7920, 8052, 8184, 8316, 8448, 8580, 8712, 8844, 8976, 9108, 9240, 9372, 9504, 9636, 9768, 9900, 10032, 10164, 10296, 10428, 10560, 10692, 10824, 10956, 11088, 11220, 11352, 11484, 11616, 11748, 11880, 12012, 12144, 12276, 12408, 12540, 12672, 12804, 12936, 13068, 13200, 13332, 13464, 13596, 13728, 13860, 13992, 14124, 14256, 14388, 14520, 14652, 14784, 14916, 15048, 15180, 15312, 15444, 15576, 15708, 15840, 15972, 16104, 16236, 16368, 16500, 16632, 16764, 16896, 17028, 17160, 17292, 17424, 17556, 17688, 17820, 17952, 18084, 18216, 18348, 18480, 18612, 18744, 18876, 19008, 19140, 19272, 19404, 19536, 19668, 19800, 19932, 20064, 20196, 20328, 20460, 20592, 20724, 20856, 20988, 21120, 21252, 21384, 21516, 21648, 21780, 21912, 22044, 22176, 22308, 22440, 22572, 22704, 22836, 22968, 23100, 23232, 23364, 23496, 23628, 23760, 23892, 24024, 24156, 24288, 24420, 24552, 24684, 24816, 24948, 25080, 25212, 25344, 25476, 25608, 25740, 25872, 26004, 26136, 26268, 26400, 26532, 26664, 26796, 26928, 27060, 27192, 27324, 27456, 27588, 27720, 27852, 27984, 28116, 28248, 28380, 28512, 28644, 28776, 28908, 29040, 29172, 29304, 29436, 29568, 29700, 29832, 29964, 30096, 30228, 30360, 30492, 30624, 30756, 30888, 31020, 31152, 31284, 31416, 31548, 31680, 31812, 31944, 32076, 32208, 32340, 32472, 32604, 32736, 32868, 33000, 33132, 33264, 33396, 33528, 33660, 33792, 33924, 34056, 34188, 34320, 34452, 34584, 34716, 34848, 34980, 35112, 35244, 35376, 35508, 35640, 35772, 35904, 36036, 36168, 36300, 36432, 36564, 36696, 36828, 36960, 37092, 37224, 37356, 37488, 37620, 37752, 37884, 38016, 38148, 38280, 38412, 38544, 38676, 38808, 38940, 39072, 39204, 39336, 39468, 39600, 39732, 39864, 39996, 40128, 40260, 40392, 40524, 40656, 40788, 40920, 41052, 41184, 41316, 41448, 41580, 41712, 41844, 41976, 42108, 42240, 42372, 42504, 42636, 42768, 42900, 43032, 43164, 43296, 43428, 43560, 43692, 43824, 43956, 44088, 44220, 44352, 44484, 44616, 44748, 44880, 45012, 45144, 45276, 45408, 45540, 45672, 45804, 45936, 46068, 46200, 46332, 46464, 46596, 46728, 46860, 46992, 47124, 47256, 47388, 47520, 47652, 47784, 47916, 48048, 48180, 48312, 48444, 48576, 48708, 48840, 48972, 49104, 49236, 49368, 49500, 49632, 49764, 49896, 50028, 50160, 50292, 50424, 50556, 50688, 50820, 50952, 51084, 51216, 51348, 51480, 51612, 51744, 51876, 52008, 52140, 52272, 52404, 52536, 52668, 52800, 52932, 53064, 53196, 53328, 53460, 53592, 53724, 53856, 53988, 54120, 54252, 54384, 54516, 54648, 54780, 54912, 55044, 55176, 55308, 55440, 55572, 55704, 55836, 55968, 56100, 56232, 56364, 56496, 56628, 56760, 56892, 57024, 57156, 57288, 57420, 57552, 57684, 57816, 57948, 58080, 58212, 58344, 58476, 58608, 58740, 58872, 59004, 59136, 59268, 59400, 59532, 59664, 59796, 59928, 60060, 60192, 60324, 60456, 60588, 60720, 60852, 60984, 61116, 61248, 61380, 61512, 61644, 61776, 61908, 62040, 62172, 62304, 62436, 62568, 62700, 62832, 62964, 63096, 63228, 63360, 63492, 63624, 63756, 63888, 64020, 64152, 64284, 64416, 64548, 64680, 64812, 64944, 65076, 65208, 65340, 65472, 65604, 65736, 65868, 66000, 66132, 66264, 66396, 66528, 66660, 66792, 66924, 67056, 67188, 67320, 67452, 67584, 67716, 67848, 67980, 68112, 68244, 68376, 68508, 68640, 68772, 68904, 69036, 69168, 69300, 69432, 69564, 69696, 69828, 69960, 70092, 70224, 70356, 70488, 70620, 70752, 70884, 71016, 71148, 71280, 71412, 71544, 71676, 71808, 71940, 72072, 72204, 72336, 72468, 72600, 72732, 72864, 72996, 73128, 73260, 73392, 73524, 73656, 73788, 73920, 74052, 74184, 74316, 74448, 74580, 74712, 74844, 74976, 75108, 75240, 75372, 75504, 75636, 75768, 75900, 76032, 76164, 76296, 76428, 76560, 76692, 76824, 76956, 77088, 77220, 77352, 77484, 77616, 77748, 77880, 78012, 78144, 78276, 78408, 78540, 78672, 78804, 78936, 79068, 79200, 79332, 79464, 79596, 79728, 79860, 79992, 80124, 80256, 80388, 80520, 80652, 80784, 80916, 81048, 81180, 81312, 81444, 81576, 81708, 81840, 81972, 82104, 82236, 82368, 82500, 82632, 82764, 82896, 83028, 83160, 83292, 83424, 83556, 83688, 83820, 83952, 84084, 84216, 84348, 84480, 84612, 84744, 84876, 85008, 85140, 85272, 85404, 85536, 85668, 85800, 85932, 86064, 86196, 86328, 86460, 86592, 86724, 86856, 86988, 87120, 87252, 87384, 87516, 87648, 87780, 87912, 88044, 88176, 88308, 88440, 88572, 88704, 88836, 88968, 89100, 89232, 89364, 89496, 89628, 89760, 89892, 90024, 90156, 90288, 90420, 90552, 90684, 90816, 90948, 91080, 91212, 91344, 91476, 91608, 91740, 91872, 92004, 92136, 92268, 92400, 92532, 92664, 92796, 92928, 93060, 93192, 93324, 93456, 93588, 93720, 93852, 93984, 94116, 94248, 94380, 94512, 94644, 94776, 94908, 95040, 95172, 95304, 95436, 95568, 95700, 95832, 95964, 96096, 96228, 96360, 96492, 96624, 96756, 96888, 97020, 97152, 97284, 97416, 97548, 97680, 97812, 97944, 98076, 98208, 98340, 98472, 98604, 98736, 98868, 99000, 99132, 99264, 99396, 99528, 99660, 99792, 99924

How to find the numbers divisible by 132?

Finding all the numbers that can be divided by 132 is essentially the same as searching for the multiples of 132: if a number N is a multiple of 132, then 132 is a divisor of N.

Indeed, if we assume that N is a multiple of 132, this means there exists an integer k such that:

k × 132 = N

Conversely, the result of N divided by 132 is this same integer k (without any remainder):

k = N 132

From this we can see that, theoretically, there's an infinite quantity of multiples of 132 (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 132 less than 100000):

  • 1 × 132 = 132
  • 2 × 132 = 264
  • 3 × 132 = 396
  • ...
  • 756 × 132 = 99792
  • 757 × 132 = 99924