What are the numbers divisible by 145?
145, 290, 435, 580, 725, 870, 1015, 1160, 1305, 1450, 1595, 1740, 1885, 2030, 2175, 2320, 2465, 2610, 2755, 2900, 3045, 3190, 3335, 3480, 3625, 3770, 3915, 4060, 4205, 4350, 4495, 4640, 4785, 4930, 5075, 5220, 5365, 5510, 5655, 5800, 5945, 6090, 6235, 6380, 6525, 6670, 6815, 6960, 7105, 7250, 7395, 7540, 7685, 7830, 7975, 8120, 8265, 8410, 8555, 8700, 8845, 8990, 9135, 9280, 9425, 9570, 9715, 9860, 10005, 10150, 10295, 10440, 10585, 10730, 10875, 11020, 11165, 11310, 11455, 11600, 11745, 11890, 12035, 12180, 12325, 12470, 12615, 12760, 12905, 13050, 13195, 13340, 13485, 13630, 13775, 13920, 14065, 14210, 14355, 14500, 14645, 14790, 14935, 15080, 15225, 15370, 15515, 15660, 15805, 15950, 16095, 16240, 16385, 16530, 16675, 16820, 16965, 17110, 17255, 17400, 17545, 17690, 17835, 17980, 18125, 18270, 18415, 18560, 18705, 18850, 18995, 19140, 19285, 19430, 19575, 19720, 19865, 20010, 20155, 20300, 20445, 20590, 20735, 20880, 21025, 21170, 21315, 21460, 21605, 21750, 21895, 22040, 22185, 22330, 22475, 22620, 22765, 22910, 23055, 23200, 23345, 23490, 23635, 23780, 23925, 24070, 24215, 24360, 24505, 24650, 24795, 24940, 25085, 25230, 25375, 25520, 25665, 25810, 25955, 26100, 26245, 26390, 26535, 26680, 26825, 26970, 27115, 27260, 27405, 27550, 27695, 27840, 27985, 28130, 28275, 28420, 28565, 28710, 28855, 29000, 29145, 29290, 29435, 29580, 29725, 29870, 30015, 30160, 30305, 30450, 30595, 30740, 30885, 31030, 31175, 31320, 31465, 31610, 31755, 31900, 32045, 32190, 32335, 32480, 32625, 32770, 32915, 33060, 33205, 33350, 33495, 33640, 33785, 33930, 34075, 34220, 34365, 34510, 34655, 34800, 34945, 35090, 35235, 35380, 35525, 35670, 35815, 35960, 36105, 36250, 36395, 36540, 36685, 36830, 36975, 37120, 37265, 37410, 37555, 37700, 37845, 37990, 38135, 38280, 38425, 38570, 38715, 38860, 39005, 39150, 39295, 39440, 39585, 39730, 39875, 40020, 40165, 40310, 40455, 40600, 40745, 40890, 41035, 41180, 41325, 41470, 41615, 41760, 41905, 42050, 42195, 42340, 42485, 42630, 42775, 42920, 43065, 43210, 43355, 43500, 43645, 43790, 43935, 44080, 44225, 44370, 44515, 44660, 44805, 44950, 45095, 45240, 45385, 45530, 45675, 45820, 45965, 46110, 46255, 46400, 46545, 46690, 46835, 46980, 47125, 47270, 47415, 47560, 47705, 47850, 47995, 48140, 48285, 48430, 48575, 48720, 48865, 49010, 49155, 49300, 49445, 49590, 49735, 49880, 50025, 50170, 50315, 50460, 50605, 50750, 50895, 51040, 51185, 51330, 51475, 51620, 51765, 51910, 52055, 52200, 52345, 52490, 52635, 52780, 52925, 53070, 53215, 53360, 53505, 53650, 53795, 53940, 54085, 54230, 54375, 54520, 54665, 54810, 54955, 55100, 55245, 55390, 55535, 55680, 55825, 55970, 56115, 56260, 56405, 56550, 56695, 56840, 56985, 57130, 57275, 57420, 57565, 57710, 57855, 58000, 58145, 58290, 58435, 58580, 58725, 58870, 59015, 59160, 59305, 59450, 59595, 59740, 59885, 60030, 60175, 60320, 60465, 60610, 60755, 60900, 61045, 61190, 61335, 61480, 61625, 61770, 61915, 62060, 62205, 62350, 62495, 62640, 62785, 62930, 63075, 63220, 63365, 63510, 63655, 63800, 63945, 64090, 64235, 64380, 64525, 64670, 64815, 64960, 65105, 65250, 65395, 65540, 65685, 65830, 65975, 66120, 66265, 66410, 66555, 66700, 66845, 66990, 67135, 67280, 67425, 67570, 67715, 67860, 68005, 68150, 68295, 68440, 68585, 68730, 68875, 69020, 69165, 69310, 69455, 69600, 69745, 69890, 70035, 70180, 70325, 70470, 70615, 70760, 70905, 71050, 71195, 71340, 71485, 71630, 71775, 71920, 72065, 72210, 72355, 72500, 72645, 72790, 72935, 73080, 73225, 73370, 73515, 73660, 73805, 73950, 74095, 74240, 74385, 74530, 74675, 74820, 74965, 75110, 75255, 75400, 75545, 75690, 75835, 75980, 76125, 76270, 76415, 76560, 76705, 76850, 76995, 77140, 77285, 77430, 77575, 77720, 77865, 78010, 78155, 78300, 78445, 78590, 78735, 78880, 79025, 79170, 79315, 79460, 79605, 79750, 79895, 80040, 80185, 80330, 80475, 80620, 80765, 80910, 81055, 81200, 81345, 81490, 81635, 81780, 81925, 82070, 82215, 82360, 82505, 82650, 82795, 82940, 83085, 83230, 83375, 83520, 83665, 83810, 83955, 84100, 84245, 84390, 84535, 84680, 84825, 84970, 85115, 85260, 85405, 85550, 85695, 85840, 85985, 86130, 86275, 86420, 86565, 86710, 86855, 87000, 87145, 87290, 87435, 87580, 87725, 87870, 88015, 88160, 88305, 88450, 88595, 88740, 88885, 89030, 89175, 89320, 89465, 89610, 89755, 89900, 90045, 90190, 90335, 90480, 90625, 90770, 90915, 91060, 91205, 91350, 91495, 91640, 91785, 91930, 92075, 92220, 92365, 92510, 92655, 92800, 92945, 93090, 93235, 93380, 93525, 93670, 93815, 93960, 94105, 94250, 94395, 94540, 94685, 94830, 94975, 95120, 95265, 95410, 95555, 95700, 95845, 95990, 96135, 96280, 96425, 96570, 96715, 96860, 97005, 97150, 97295, 97440, 97585, 97730, 97875, 98020, 98165, 98310, 98455, 98600, 98745, 98890, 99035, 99180, 99325, 99470, 99615, 99760, 99905
- There is a total of 689 numbers (up to 100000) that are divisible by 145.
- The sum of these numbers is 34467225.
- The arithmetic mean of these numbers is 50025.
How to find the numbers divisible by 145?
Finding all the numbers that can be divided by 145 is essentially the same as searching for the multiples of 145: if a number N is a multiple of 145, then 145 is a divisor of N.
Indeed, if we assume that N is a multiple of 145, this means there exists an integer k such that:
Conversely, the result of N divided by 145 is this same integer k (without any remainder):
From this we can see that, theoretically, there's an infinite quantity of multiples of 145 (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 145 less than 100000):
- 1 × 145 = 145
- 2 × 145 = 290
- 3 × 145 = 435
- ...
- 688 × 145 = 99760
- 689 × 145 = 99905