What are the numbers divisible by 349?

349, 698, 1047, 1396, 1745, 2094, 2443, 2792, 3141, 3490, 3839, 4188, 4537, 4886, 5235, 5584, 5933, 6282, 6631, 6980, 7329, 7678, 8027, 8376, 8725, 9074, 9423, 9772, 10121, 10470, 10819, 11168, 11517, 11866, 12215, 12564, 12913, 13262, 13611, 13960, 14309, 14658, 15007, 15356, 15705, 16054, 16403, 16752, 17101, 17450, 17799, 18148, 18497, 18846, 19195, 19544, 19893, 20242, 20591, 20940, 21289, 21638, 21987, 22336, 22685, 23034, 23383, 23732, 24081, 24430, 24779, 25128, 25477, 25826, 26175, 26524, 26873, 27222, 27571, 27920, 28269, 28618, 28967, 29316, 29665, 30014, 30363, 30712, 31061, 31410, 31759, 32108, 32457, 32806, 33155, 33504, 33853, 34202, 34551, 34900, 35249, 35598, 35947, 36296, 36645, 36994, 37343, 37692, 38041, 38390, 38739, 39088, 39437, 39786, 40135, 40484, 40833, 41182, 41531, 41880, 42229, 42578, 42927, 43276, 43625, 43974, 44323, 44672, 45021, 45370, 45719, 46068, 46417, 46766, 47115, 47464, 47813, 48162, 48511, 48860, 49209, 49558, 49907, 50256, 50605, 50954, 51303, 51652, 52001, 52350, 52699, 53048, 53397, 53746, 54095, 54444, 54793, 55142, 55491, 55840, 56189, 56538, 56887, 57236, 57585, 57934, 58283, 58632, 58981, 59330, 59679, 60028, 60377, 60726, 61075, 61424, 61773, 62122, 62471, 62820, 63169, 63518, 63867, 64216, 64565, 64914, 65263, 65612, 65961, 66310, 66659, 67008, 67357, 67706, 68055, 68404, 68753, 69102, 69451, 69800, 70149, 70498, 70847, 71196, 71545, 71894, 72243, 72592, 72941, 73290, 73639, 73988, 74337, 74686, 75035, 75384, 75733, 76082, 76431, 76780, 77129, 77478, 77827, 78176, 78525, 78874, 79223, 79572, 79921, 80270, 80619, 80968, 81317, 81666, 82015, 82364, 82713, 83062, 83411, 83760, 84109, 84458, 84807, 85156, 85505, 85854, 86203, 86552, 86901, 87250, 87599, 87948, 88297, 88646, 88995, 89344, 89693, 90042, 90391, 90740, 91089, 91438, 91787, 92136, 92485, 92834, 93183, 93532, 93881, 94230, 94579, 94928, 95277, 95626, 95975, 96324, 96673, 97022, 97371, 97720, 98069, 98418, 98767, 99116, 99465, 99814

How to find the numbers divisible by 349?

Finding all the numbers that can be divided by 349 is essentially the same as searching for the multiples of 349: if a number N is a multiple of 349, then 349 is a divisor of N.

Indeed, if we assume that N is a multiple of 349, this means there exists an integer k such that:

k × 349 = N

Conversely, the result of N divided by 349 is this same integer k (without any remainder):

k = N 349

From this we can see that, theoretically, there's an infinite quantity of multiples of 349 (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 349 less than 100000):

  • 1 × 349 = 349
  • 2 × 349 = 698
  • 3 × 349 = 1047
  • ...
  • 285 × 349 = 99465
  • 286 × 349 = 99814