What are the numbers divisible by 70?
70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540, 1610, 1680, 1750, 1820, 1890, 1960, 2030, 2100, 2170, 2240, 2310, 2380, 2450, 2520, 2590, 2660, 2730, 2800, 2870, 2940, 3010, 3080, 3150, 3220, 3290, 3360, 3430, 3500, 3570, 3640, 3710, 3780, 3850, 3920, 3990, 4060, 4130, 4200, 4270, 4340, 4410, 4480, 4550, 4620, 4690, 4760, 4830, 4900, 4970, 5040, 5110, 5180, 5250, 5320, 5390, 5460, 5530, 5600, 5670, 5740, 5810, 5880, 5950, 6020, 6090, 6160, 6230, 6300, 6370, 6440, 6510, 6580, 6650, 6720, 6790, 6860, 6930, 7000, 7070, 7140, 7210, 7280, 7350, 7420, 7490, 7560, 7630, 7700, 7770, 7840, 7910, 7980, 8050, 8120, 8190, 8260, 8330, 8400, 8470, 8540, 8610, 8680, 8750, 8820, 8890, 8960, 9030, 9100, 9170, 9240, 9310, 9380, 9450, 9520, 9590, 9660, 9730, 9800, 9870, 9940, 10010, 10080, 10150, 10220, 10290, 10360, 10430, 10500, 10570, 10640, 10710, 10780, 10850, 10920, 10990, 11060, 11130, 11200, 11270, 11340, 11410, 11480, 11550, 11620, 11690, 11760, 11830, 11900, 11970, 12040, 12110, 12180, 12250, 12320, 12390, 12460, 12530, 12600, 12670, 12740, 12810, 12880, 12950, 13020, 13090, 13160, 13230, 13300, 13370, 13440, 13510, 13580, 13650, 13720, 13790, 13860, 13930, 14000, 14070, 14140, 14210, 14280, 14350, 14420, 14490, 14560, 14630, 14700, 14770, 14840, 14910, 14980, 15050, 15120, 15190, 15260, 15330, 15400, 15470, 15540, 15610, 15680, 15750, 15820, 15890, 15960, 16030, 16100, 16170, 16240, 16310, 16380, 16450, 16520, 16590, 16660, 16730, 16800, 16870, 16940, 17010, 17080, 17150, 17220, 17290, 17360, 17430, 17500, 17570, 17640, 17710, 17780, 17850, 17920, 17990, 18060, 18130, 18200, 18270, 18340, 18410, 18480, 18550, 18620, 18690, 18760, 18830, 18900, 18970, 19040, 19110, 19180, 19250, 19320, 19390, 19460, 19530, 19600, 19670, 19740, 19810, 19880, 19950, 20020, 20090, 20160, 20230, 20300, 20370, 20440, 20510, 20580, 20650, 20720, 20790, 20860, 20930, 21000, 21070, 21140, 21210, 21280, 21350, 21420, 21490, 21560, 21630, 21700, 21770, 21840, 21910, 21980, 22050, 22120, 22190, 22260, 22330, 22400, 22470, 22540, 22610, 22680, 22750, 22820, 22890, 22960, 23030, 23100, 23170, 23240, 23310, 23380, 23450, 23520, 23590, 23660, 23730, 23800, 23870, 23940, 24010, 24080, 24150, 24220, 24290, 24360, 24430, 24500, 24570, 24640, 24710, 24780, 24850, 24920, 24990, 25060, 25130, 25200, 25270, 25340, 25410, 25480, 25550, 25620, 25690, 25760, 25830, 25900, 25970, 26040, 26110, 26180, 26250, 26320, 26390, 26460, 26530, 26600, 26670, 26740, 26810, 26880, 26950, 27020, 27090, 27160, 27230, 27300, 27370, 27440, 27510, 27580, 27650, 27720, 27790, 27860, 27930, 28000, 28070, 28140, 28210, 28280, 28350, 28420, 28490, 28560, 28630, 28700, 28770, 28840, 28910, 28980, 29050, 29120, 29190, 29260, 29330, 29400, 29470, 29540, 29610, 29680, 29750, 29820, 29890, 29960, 30030, 30100, 30170, 30240, 30310, 30380, 30450, 30520, 30590, 30660, 30730, 30800, 30870, 30940, 31010, 31080, 31150, 31220, 31290, 31360, 31430, 31500, 31570, 31640, 31710, 31780, 31850, 31920, 31990, 32060, 32130, 32200, 32270, 32340, 32410, 32480, 32550, 32620, 32690, 32760, 32830, 32900, 32970, 33040, 33110, 33180, 33250, 33320, 33390, 33460, 33530, 33600, 33670, 33740, 33810, 33880, 33950, 34020, 34090, 34160, 34230, 34300, 34370, 34440, 34510, 34580, 34650, 34720, 34790, 34860, 34930, 35000, 35070, 35140, 35210, 35280, 35350, 35420, 35490, 35560, 35630, 35700, 35770, 35840, 35910, 35980, 36050, 36120, 36190, 36260, 36330, 36400, 36470, 36540, 36610, 36680, 36750, 36820, 36890, 36960, 37030, 37100, 37170, 37240, 37310, 37380, 37450, 37520, 37590, 37660, 37730, 37800, 37870, 37940, 38010, 38080, 38150, 38220, 38290, 38360, 38430, 38500, 38570, 38640, 38710, 38780, 38850, 38920, 38990, 39060, 39130, 39200, 39270, 39340, 39410, 39480, 39550, 39620, 39690, 39760, 39830, 39900, 39970, 40040, 40110, 40180, 40250, 40320, 40390, 40460, 40530, 40600, 40670, 40740, 40810, 40880, 40950, 41020, 41090, 41160, 41230, 41300, 41370, 41440, 41510, 41580, 41650, 41720, 41790, 41860, 41930, 42000, 42070, 42140, 42210, 42280, 42350, 42420, 42490, 42560, 42630, 42700, 42770, 42840, 42910, 42980, 43050, 43120, 43190, 43260, 43330, 43400, 43470, 43540, 43610, 43680, 43750, 43820, 43890, 43960, 44030, 44100, 44170, 44240, 44310, 44380, 44450, 44520, 44590, 44660, 44730, 44800, 44870, 44940, 45010, 45080, 45150, 45220, 45290, 45360, 45430, 45500, 45570, 45640, 45710, 45780, 45850, 45920, 45990, 46060, 46130, 46200, 46270, 46340, 46410, 46480, 46550, 46620, 46690, 46760, 46830, 46900, 46970, 47040, 47110, 47180, 47250, 47320, 47390, 47460, 47530, 47600, 47670, 47740, 47810, 47880, 47950, 48020, 48090, 48160, 48230, 48300, 48370, 48440, 48510, 48580, 48650, 48720, 48790, 48860, 48930, 49000, 49070, 49140, 49210, 49280, 49350, 49420, 49490, 49560, 49630, 49700, 49770, 49840, 49910, 49980, 50050, 50120, 50190, 50260, 50330, 50400, 50470, 50540, 50610, 50680, 50750, 50820, 50890, 50960, 51030, 51100, 51170, 51240, 51310, 51380, 51450, 51520, 51590, 51660, 51730, 51800, 51870, 51940, 52010, 52080, 52150, 52220, 52290, 52360, 52430, 52500, 52570, 52640, 52710, 52780, 52850, 52920, 52990, 53060, 53130, 53200, 53270, 53340, 53410, 53480, 53550, 53620, 53690, 53760, 53830, 53900, 53970, 54040, 54110, 54180, 54250, 54320, 54390, 54460, 54530, 54600, 54670, 54740, 54810, 54880, 54950, 55020, 55090, 55160, 55230, 55300, 55370, 55440, 55510, 55580, 55650, 55720, 55790, 55860, 55930, 56000, 56070, 56140, 56210, 56280, 56350, 56420, 56490, 56560, 56630, 56700, 56770, 56840, 56910, 56980, 57050, 57120, 57190, 57260, 57330, 57400, 57470, 57540, 57610, 57680, 57750, 57820, 57890, 57960, 58030, 58100, 58170, 58240, 58310, 58380, 58450, 58520, 58590, 58660, 58730, 58800, 58870, 58940, 59010, 59080, 59150, 59220, 59290, 59360, 59430, 59500, 59570, 59640, 59710, 59780, 59850, 59920, 59990, 60060, 60130, 60200, 60270, 60340, 60410, 60480, 60550, 60620, 60690, 60760, 60830, 60900, 60970, 61040, 61110, 61180, 61250, 61320, 61390, 61460, 61530, 61600, 61670, 61740, 61810, 61880, 61950, 62020, 62090, 62160, 62230, 62300, 62370, 62440, 62510, 62580, 62650, 62720, 62790, 62860, 62930, 63000, 63070, 63140, 63210, 63280, 63350, 63420, 63490, 63560, 63630, 63700, 63770, 63840, 63910, 63980, 64050, 64120, 64190, 64260, 64330, 64400, 64470, 64540, 64610, 64680, 64750, 64820, 64890, 64960, 65030, 65100, 65170, 65240, 65310, 65380, 65450, 65520, 65590, 65660, 65730, 65800, 65870, 65940, 66010, 66080, 66150, 66220, 66290, 66360, 66430, 66500, 66570, 66640, 66710, 66780, 66850, 66920, 66990, 67060, 67130, 67200, 67270, 67340, 67410, 67480, 67550, 67620, 67690, 67760, 67830, 67900, 67970, 68040, 68110, 68180, 68250, 68320, 68390, 68460, 68530, 68600, 68670, 68740, 68810, 68880, 68950, 69020, 69090, 69160, 69230, 69300, 69370, 69440, 69510, 69580, 69650, 69720, 69790, 69860, 69930, 70000, 70070, 70140, 70210, 70280, 70350, 70420, 70490, 70560, 70630, 70700, 70770, 70840, 70910, 70980, 71050, 71120, 71190, 71260, 71330, 71400, 71470, 71540, 71610, 71680, 71750, 71820, 71890, 71960, 72030, 72100, 72170, 72240, 72310, 72380, 72450, 72520, 72590, 72660, 72730, 72800, 72870, 72940, 73010, 73080, 73150, 73220, 73290, 73360, 73430, 73500, 73570, 73640, 73710, 73780, 73850, 73920, 73990, 74060, 74130, 74200, 74270, 74340, 74410, 74480, 74550, 74620, 74690, 74760, 74830, 74900, 74970, 75040, 75110, 75180, 75250, 75320, 75390, 75460, 75530, 75600, 75670, 75740, 75810, 75880, 75950, 76020, 76090, 76160, 76230, 76300, 76370, 76440, 76510, 76580, 76650, 76720, 76790, 76860, 76930, 77000, 77070, 77140, 77210, 77280, 77350, 77420, 77490, 77560, 77630, 77700, 77770, 77840, 77910, 77980, 78050, 78120, 78190, 78260, 78330, 78400, 78470, 78540, 78610, 78680, 78750, 78820, 78890, 78960, 79030, 79100, 79170, 79240, 79310, 79380, 79450, 79520, 79590, 79660, 79730, 79800, 79870, 79940, 80010, 80080, 80150, 80220, 80290, 80360, 80430, 80500, 80570, 80640, 80710, 80780, 80850, 80920, 80990, 81060, 81130, 81200, 81270, 81340, 81410, 81480, 81550, 81620, 81690, 81760, 81830, 81900, 81970, 82040, 82110, 82180, 82250, 82320, 82390, 82460, 82530, 82600, 82670, 82740, 82810, 82880, 82950, 83020, 83090, 83160, 83230, 83300, 83370, 83440, 83510, 83580, 83650, 83720, 83790, 83860, 83930, 84000, 84070, 84140, 84210, 84280, 84350, 84420, 84490, 84560, 84630, 84700, 84770, 84840, 84910, 84980, 85050, 85120, 85190, 85260, 85330, 85400, 85470, 85540, 85610, 85680, 85750, 85820, 85890, 85960, 86030, 86100, 86170, 86240, 86310, 86380, 86450, 86520, 86590, 86660, 86730, 86800, 86870, 86940, 87010, 87080, 87150, 87220, 87290, 87360, 87430, 87500, 87570, 87640, 87710, 87780, 87850, 87920, 87990, 88060, 88130, 88200, 88270, 88340, 88410, 88480, 88550, 88620, 88690, 88760, 88830, 88900, 88970, 89040, 89110, 89180, 89250, 89320, 89390, 89460, 89530, 89600, 89670, 89740, 89810, 89880, 89950, 90020, 90090, 90160, 90230, 90300, 90370, 90440, 90510, 90580, 90650, 90720, 90790, 90860, 90930, 91000, 91070, 91140, 91210, 91280, 91350, 91420, 91490, 91560, 91630, 91700, 91770, 91840, 91910, 91980, 92050, 92120, 92190, 92260, 92330, 92400, 92470, 92540, 92610, 92680, 92750, 92820, 92890, 92960, 93030, 93100, 93170, 93240, 93310, 93380, 93450, 93520, 93590, 93660, 93730, 93800, 93870, 93940, 94010, 94080, 94150, 94220, 94290, 94360, 94430, 94500, 94570, 94640, 94710, 94780, 94850, 94920, 94990, 95060, 95130, 95200, 95270, 95340, 95410, 95480, 95550, 95620, 95690, 95760, 95830, 95900, 95970, 96040, 96110, 96180, 96250, 96320, 96390, 96460, 96530, 96600, 96670, 96740, 96810, 96880, 96950, 97020, 97090, 97160, 97230, 97300, 97370, 97440, 97510, 97580, 97650, 97720, 97790, 97860, 97930, 98000, 98070, 98140, 98210, 98280, 98350, 98420, 98490, 98560, 98630, 98700, 98770, 98840, 98910, 98980, 99050, 99120, 99190, 99260, 99330, 99400, 99470, 99540, 99610, 99680, 99750, 99820, 99890, 99960
- There is a total of 1428 numbers (up to 100000) that are divisible by 70.
- The sum of these numbers is 71421420.
- The arithmetic mean of these numbers is 50015.
How to find the numbers divisible by 70?
Finding all the numbers that can be divided by 70 is essentially the same as searching for the multiples of 70: if a number N is a multiple of 70, then 70 is a divisor of N.
Indeed, if we assume that N is a multiple of 70, this means there exists an integer k such that:
Conversely, the result of N divided by 70 is this same integer k (without any remainder):
From this we can see that, theoretically, there's an infinite quantity of multiples of 70 (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 70 less than 100000):
- 1 × 70 = 70
- 2 × 70 = 140
- 3 × 70 = 210
- ...
- 1427 × 70 = 99890
- 1428 × 70 = 99960