What are the numbers divisible by 125?
125, 250, 375, 500, 625, 750, 875, 1000, 1125, 1250, 1375, 1500, 1625, 1750, 1875, 2000, 2125, 2250, 2375, 2500, 2625, 2750, 2875, 3000, 3125, 3250, 3375, 3500, 3625, 3750, 3875, 4000, 4125, 4250, 4375, 4500, 4625, 4750, 4875, 5000, 5125, 5250, 5375, 5500, 5625, 5750, 5875, 6000, 6125, 6250, 6375, 6500, 6625, 6750, 6875, 7000, 7125, 7250, 7375, 7500, 7625, 7750, 7875, 8000, 8125, 8250, 8375, 8500, 8625, 8750, 8875, 9000, 9125, 9250, 9375, 9500, 9625, 9750, 9875, 10000, 10125, 10250, 10375, 10500, 10625, 10750, 10875, 11000, 11125, 11250, 11375, 11500, 11625, 11750, 11875, 12000, 12125, 12250, 12375, 12500, 12625, 12750, 12875, 13000, 13125, 13250, 13375, 13500, 13625, 13750, 13875, 14000, 14125, 14250, 14375, 14500, 14625, 14750, 14875, 15000, 15125, 15250, 15375, 15500, 15625, 15750, 15875, 16000, 16125, 16250, 16375, 16500, 16625, 16750, 16875, 17000, 17125, 17250, 17375, 17500, 17625, 17750, 17875, 18000, 18125, 18250, 18375, 18500, 18625, 18750, 18875, 19000, 19125, 19250, 19375, 19500, 19625, 19750, 19875, 20000, 20125, 20250, 20375, 20500, 20625, 20750, 20875, 21000, 21125, 21250, 21375, 21500, 21625, 21750, 21875, 22000, 22125, 22250, 22375, 22500, 22625, 22750, 22875, 23000, 23125, 23250, 23375, 23500, 23625, 23750, 23875, 24000, 24125, 24250, 24375, 24500, 24625, 24750, 24875, 25000, 25125, 25250, 25375, 25500, 25625, 25750, 25875, 26000, 26125, 26250, 26375, 26500, 26625, 26750, 26875, 27000, 27125, 27250, 27375, 27500, 27625, 27750, 27875, 28000, 28125, 28250, 28375, 28500, 28625, 28750, 28875, 29000, 29125, 29250, 29375, 29500, 29625, 29750, 29875, 30000, 30125, 30250, 30375, 30500, 30625, 30750, 30875, 31000, 31125, 31250, 31375, 31500, 31625, 31750, 31875, 32000, 32125, 32250, 32375, 32500, 32625, 32750, 32875, 33000, 33125, 33250, 33375, 33500, 33625, 33750, 33875, 34000, 34125, 34250, 34375, 34500, 34625, 34750, 34875, 35000, 35125, 35250, 35375, 35500, 35625, 35750, 35875, 36000, 36125, 36250, 36375, 36500, 36625, 36750, 36875, 37000, 37125, 37250, 37375, 37500, 37625, 37750, 37875, 38000, 38125, 38250, 38375, 38500, 38625, 38750, 38875, 39000, 39125, 39250, 39375, 39500, 39625, 39750, 39875, 40000, 40125, 40250, 40375, 40500, 40625, 40750, 40875, 41000, 41125, 41250, 41375, 41500, 41625, 41750, 41875, 42000, 42125, 42250, 42375, 42500, 42625, 42750, 42875, 43000, 43125, 43250, 43375, 43500, 43625, 43750, 43875, 44000, 44125, 44250, 44375, 44500, 44625, 44750, 44875, 45000, 45125, 45250, 45375, 45500, 45625, 45750, 45875, 46000, 46125, 46250, 46375, 46500, 46625, 46750, 46875, 47000, 47125, 47250, 47375, 47500, 47625, 47750, 47875, 48000, 48125, 48250, 48375, 48500, 48625, 48750, 48875, 49000, 49125, 49250, 49375, 49500, 49625, 49750, 49875, 50000, 50125, 50250, 50375, 50500, 50625, 50750, 50875, 51000, 51125, 51250, 51375, 51500, 51625, 51750, 51875, 52000, 52125, 52250, 52375, 52500, 52625, 52750, 52875, 53000, 53125, 53250, 53375, 53500, 53625, 53750, 53875, 54000, 54125, 54250, 54375, 54500, 54625, 54750, 54875, 55000, 55125, 55250, 55375, 55500, 55625, 55750, 55875, 56000, 56125, 56250, 56375, 56500, 56625, 56750, 56875, 57000, 57125, 57250, 57375, 57500, 57625, 57750, 57875, 58000, 58125, 58250, 58375, 58500, 58625, 58750, 58875, 59000, 59125, 59250, 59375, 59500, 59625, 59750, 59875, 60000, 60125, 60250, 60375, 60500, 60625, 60750, 60875, 61000, 61125, 61250, 61375, 61500, 61625, 61750, 61875, 62000, 62125, 62250, 62375, 62500, 62625, 62750, 62875, 63000, 63125, 63250, 63375, 63500, 63625, 63750, 63875, 64000, 64125, 64250, 64375, 64500, 64625, 64750, 64875, 65000, 65125, 65250, 65375, 65500, 65625, 65750, 65875, 66000, 66125, 66250, 66375, 66500, 66625, 66750, 66875, 67000, 67125, 67250, 67375, 67500, 67625, 67750, 67875, 68000, 68125, 68250, 68375, 68500, 68625, 68750, 68875, 69000, 69125, 69250, 69375, 69500, 69625, 69750, 69875, 70000, 70125, 70250, 70375, 70500, 70625, 70750, 70875, 71000, 71125, 71250, 71375, 71500, 71625, 71750, 71875, 72000, 72125, 72250, 72375, 72500, 72625, 72750, 72875, 73000, 73125, 73250, 73375, 73500, 73625, 73750, 73875, 74000, 74125, 74250, 74375, 74500, 74625, 74750, 74875, 75000, 75125, 75250, 75375, 75500, 75625, 75750, 75875, 76000, 76125, 76250, 76375, 76500, 76625, 76750, 76875, 77000, 77125, 77250, 77375, 77500, 77625, 77750, 77875, 78000, 78125, 78250, 78375, 78500, 78625, 78750, 78875, 79000, 79125, 79250, 79375, 79500, 79625, 79750, 79875, 80000, 80125, 80250, 80375, 80500, 80625, 80750, 80875, 81000, 81125, 81250, 81375, 81500, 81625, 81750, 81875, 82000, 82125, 82250, 82375, 82500, 82625, 82750, 82875, 83000, 83125, 83250, 83375, 83500, 83625, 83750, 83875, 84000, 84125, 84250, 84375, 84500, 84625, 84750, 84875, 85000, 85125, 85250, 85375, 85500, 85625, 85750, 85875, 86000, 86125, 86250, 86375, 86500, 86625, 86750, 86875, 87000, 87125, 87250, 87375, 87500, 87625, 87750, 87875, 88000, 88125, 88250, 88375, 88500, 88625, 88750, 88875, 89000, 89125, 89250, 89375, 89500, 89625, 89750, 89875, 90000, 90125, 90250, 90375, 90500, 90625, 90750, 90875, 91000, 91125, 91250, 91375, 91500, 91625, 91750, 91875, 92000, 92125, 92250, 92375, 92500, 92625, 92750, 92875, 93000, 93125, 93250, 93375, 93500, 93625, 93750, 93875, 94000, 94125, 94250, 94375, 94500, 94625, 94750, 94875, 95000, 95125, 95250, 95375, 95500, 95625, 95750, 95875, 96000, 96125, 96250, 96375, 96500, 96625, 96750, 96875, 97000, 97125, 97250, 97375, 97500, 97625, 97750, 97875, 98000, 98125, 98250, 98375, 98500, 98625, 98750, 98875, 99000, 99125, 99250, 99375, 99500, 99625, 99750, 99875, 100000
- There is a total of 800 numbers (up to 100000) that are divisible by 125.
- The sum of these numbers is 40050000.
- The arithmetic mean of these numbers is 50062.5.
How to find the numbers divisible by 125?
Finding all the numbers that can be divided by 125 is essentially the same as searching for the multiples of 125: if a number N is a multiple of 125, then 125 is a divisor of N.
Indeed, if we assume that N is a multiple of 125, this means there exists an integer k such that:
Conversely, the result of N divided by 125 is this same integer k (without any remainder):
From this we can see that, theoretically, there's an infinite quantity of multiples of 125 (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 125 less than 100000):
- 1 × 125 = 125
- 2 × 125 = 250
- 3 × 125 = 375
- ...
- 799 × 125 = 99875
- 800 × 125 = 100000