What are the numbers divisible by 165?
165, 330, 495, 660, 825, 990, 1155, 1320, 1485, 1650, 1815, 1980, 2145, 2310, 2475, 2640, 2805, 2970, 3135, 3300, 3465, 3630, 3795, 3960, 4125, 4290, 4455, 4620, 4785, 4950, 5115, 5280, 5445, 5610, 5775, 5940, 6105, 6270, 6435, 6600, 6765, 6930, 7095, 7260, 7425, 7590, 7755, 7920, 8085, 8250, 8415, 8580, 8745, 8910, 9075, 9240, 9405, 9570, 9735, 9900, 10065, 10230, 10395, 10560, 10725, 10890, 11055, 11220, 11385, 11550, 11715, 11880, 12045, 12210, 12375, 12540, 12705, 12870, 13035, 13200, 13365, 13530, 13695, 13860, 14025, 14190, 14355, 14520, 14685, 14850, 15015, 15180, 15345, 15510, 15675, 15840, 16005, 16170, 16335, 16500, 16665, 16830, 16995, 17160, 17325, 17490, 17655, 17820, 17985, 18150, 18315, 18480, 18645, 18810, 18975, 19140, 19305, 19470, 19635, 19800, 19965, 20130, 20295, 20460, 20625, 20790, 20955, 21120, 21285, 21450, 21615, 21780, 21945, 22110, 22275, 22440, 22605, 22770, 22935, 23100, 23265, 23430, 23595, 23760, 23925, 24090, 24255, 24420, 24585, 24750, 24915, 25080, 25245, 25410, 25575, 25740, 25905, 26070, 26235, 26400, 26565, 26730, 26895, 27060, 27225, 27390, 27555, 27720, 27885, 28050, 28215, 28380, 28545, 28710, 28875, 29040, 29205, 29370, 29535, 29700, 29865, 30030, 30195, 30360, 30525, 30690, 30855, 31020, 31185, 31350, 31515, 31680, 31845, 32010, 32175, 32340, 32505, 32670, 32835, 33000, 33165, 33330, 33495, 33660, 33825, 33990, 34155, 34320, 34485, 34650, 34815, 34980, 35145, 35310, 35475, 35640, 35805, 35970, 36135, 36300, 36465, 36630, 36795, 36960, 37125, 37290, 37455, 37620, 37785, 37950, 38115, 38280, 38445, 38610, 38775, 38940, 39105, 39270, 39435, 39600, 39765, 39930, 40095, 40260, 40425, 40590, 40755, 40920, 41085, 41250, 41415, 41580, 41745, 41910, 42075, 42240, 42405, 42570, 42735, 42900, 43065, 43230, 43395, 43560, 43725, 43890, 44055, 44220, 44385, 44550, 44715, 44880, 45045, 45210, 45375, 45540, 45705, 45870, 46035, 46200, 46365, 46530, 46695, 46860, 47025, 47190, 47355, 47520, 47685, 47850, 48015, 48180, 48345, 48510, 48675, 48840, 49005, 49170, 49335, 49500, 49665, 49830, 49995, 50160, 50325, 50490, 50655, 50820, 50985, 51150, 51315, 51480, 51645, 51810, 51975, 52140, 52305, 52470, 52635, 52800, 52965, 53130, 53295, 53460, 53625, 53790, 53955, 54120, 54285, 54450, 54615, 54780, 54945, 55110, 55275, 55440, 55605, 55770, 55935, 56100, 56265, 56430, 56595, 56760, 56925, 57090, 57255, 57420, 57585, 57750, 57915, 58080, 58245, 58410, 58575, 58740, 58905, 59070, 59235, 59400, 59565, 59730, 59895, 60060, 60225, 60390, 60555, 60720, 60885, 61050, 61215, 61380, 61545, 61710, 61875, 62040, 62205, 62370, 62535, 62700, 62865, 63030, 63195, 63360, 63525, 63690, 63855, 64020, 64185, 64350, 64515, 64680, 64845, 65010, 65175, 65340, 65505, 65670, 65835, 66000, 66165, 66330, 66495, 66660, 66825, 66990, 67155, 67320, 67485, 67650, 67815, 67980, 68145, 68310, 68475, 68640, 68805, 68970, 69135, 69300, 69465, 69630, 69795, 69960, 70125, 70290, 70455, 70620, 70785, 70950, 71115, 71280, 71445, 71610, 71775, 71940, 72105, 72270, 72435, 72600, 72765, 72930, 73095, 73260, 73425, 73590, 73755, 73920, 74085, 74250, 74415, 74580, 74745, 74910, 75075, 75240, 75405, 75570, 75735, 75900, 76065, 76230, 76395, 76560, 76725, 76890, 77055, 77220, 77385, 77550, 77715, 77880, 78045, 78210, 78375, 78540, 78705, 78870, 79035, 79200, 79365, 79530, 79695, 79860, 80025, 80190, 80355, 80520, 80685, 80850, 81015, 81180, 81345, 81510, 81675, 81840, 82005, 82170, 82335, 82500, 82665, 82830, 82995, 83160, 83325, 83490, 83655, 83820, 83985, 84150, 84315, 84480, 84645, 84810, 84975, 85140, 85305, 85470, 85635, 85800, 85965, 86130, 86295, 86460, 86625, 86790, 86955, 87120, 87285, 87450, 87615, 87780, 87945, 88110, 88275, 88440, 88605, 88770, 88935, 89100, 89265, 89430, 89595, 89760, 89925, 90090, 90255, 90420, 90585, 90750, 90915, 91080, 91245, 91410, 91575, 91740, 91905, 92070, 92235, 92400, 92565, 92730, 92895, 93060, 93225, 93390, 93555, 93720, 93885, 94050, 94215, 94380, 94545, 94710, 94875, 95040, 95205, 95370, 95535, 95700, 95865, 96030, 96195, 96360, 96525, 96690, 96855, 97020, 97185, 97350, 97515, 97680, 97845, 98010, 98175, 98340, 98505, 98670, 98835, 99000, 99165, 99330, 99495, 99660, 99825, 99990
- There is a total of 606 numbers (up to 100000) that are divisible by 165.
- The sum of these numbers is 30346965.
- The arithmetic mean of these numbers is 50077.5.
How to find the numbers divisible by 165?
Finding all the numbers that can be divided by 165 is essentially the same as searching for the multiples of 165: if a number N is a multiple of 165, then 165 is a divisor of N.
Indeed, if we assume that N is a multiple of 165, this means there exists an integer k such that:
Conversely, the result of N divided by 165 is this same integer k (without any remainder):
From this we can see that, theoretically, there's an infinite quantity of multiples of 165 (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 165 less than 100000):
- 1 × 165 = 165
- 2 × 165 = 330
- 3 × 165 = 495
- ...
- 605 × 165 = 99825
- 606 × 165 = 99990