What are the numbers divisible by 250?
250, 500, 750, 1000, 1250, 1500, 1750, 2000, 2250, 2500, 2750, 3000, 3250, 3500, 3750, 4000, 4250, 4500, 4750, 5000, 5250, 5500, 5750, 6000, 6250, 6500, 6750, 7000, 7250, 7500, 7750, 8000, 8250, 8500, 8750, 9000, 9250, 9500, 9750, 10000, 10250, 10500, 10750, 11000, 11250, 11500, 11750, 12000, 12250, 12500, 12750, 13000, 13250, 13500, 13750, 14000, 14250, 14500, 14750, 15000, 15250, 15500, 15750, 16000, 16250, 16500, 16750, 17000, 17250, 17500, 17750, 18000, 18250, 18500, 18750, 19000, 19250, 19500, 19750, 20000, 20250, 20500, 20750, 21000, 21250, 21500, 21750, 22000, 22250, 22500, 22750, 23000, 23250, 23500, 23750, 24000, 24250, 24500, 24750, 25000, 25250, 25500, 25750, 26000, 26250, 26500, 26750, 27000, 27250, 27500, 27750, 28000, 28250, 28500, 28750, 29000, 29250, 29500, 29750, 30000, 30250, 30500, 30750, 31000, 31250, 31500, 31750, 32000, 32250, 32500, 32750, 33000, 33250, 33500, 33750, 34000, 34250, 34500, 34750, 35000, 35250, 35500, 35750, 36000, 36250, 36500, 36750, 37000, 37250, 37500, 37750, 38000, 38250, 38500, 38750, 39000, 39250, 39500, 39750, 40000, 40250, 40500, 40750, 41000, 41250, 41500, 41750, 42000, 42250, 42500, 42750, 43000, 43250, 43500, 43750, 44000, 44250, 44500, 44750, 45000, 45250, 45500, 45750, 46000, 46250, 46500, 46750, 47000, 47250, 47500, 47750, 48000, 48250, 48500, 48750, 49000, 49250, 49500, 49750, 50000, 50250, 50500, 50750, 51000, 51250, 51500, 51750, 52000, 52250, 52500, 52750, 53000, 53250, 53500, 53750, 54000, 54250, 54500, 54750, 55000, 55250, 55500, 55750, 56000, 56250, 56500, 56750, 57000, 57250, 57500, 57750, 58000, 58250, 58500, 58750, 59000, 59250, 59500, 59750, 60000, 60250, 60500, 60750, 61000, 61250, 61500, 61750, 62000, 62250, 62500, 62750, 63000, 63250, 63500, 63750, 64000, 64250, 64500, 64750, 65000, 65250, 65500, 65750, 66000, 66250, 66500, 66750, 67000, 67250, 67500, 67750, 68000, 68250, 68500, 68750, 69000, 69250, 69500, 69750, 70000, 70250, 70500, 70750, 71000, 71250, 71500, 71750, 72000, 72250, 72500, 72750, 73000, 73250, 73500, 73750, 74000, 74250, 74500, 74750, 75000, 75250, 75500, 75750, 76000, 76250, 76500, 76750, 77000, 77250, 77500, 77750, 78000, 78250, 78500, 78750, 79000, 79250, 79500, 79750, 80000, 80250, 80500, 80750, 81000, 81250, 81500, 81750, 82000, 82250, 82500, 82750, 83000, 83250, 83500, 83750, 84000, 84250, 84500, 84750, 85000, 85250, 85500, 85750, 86000, 86250, 86500, 86750, 87000, 87250, 87500, 87750, 88000, 88250, 88500, 88750, 89000, 89250, 89500, 89750, 90000, 90250, 90500, 90750, 91000, 91250, 91500, 91750, 92000, 92250, 92500, 92750, 93000, 93250, 93500, 93750, 94000, 94250, 94500, 94750, 95000, 95250, 95500, 95750, 96000, 96250, 96500, 96750, 97000, 97250, 97500, 97750, 98000, 98250, 98500, 98750, 99000, 99250, 99500, 99750, 100000
- There is a total of 400 numbers (up to 100000) that are divisible by 250.
- The sum of these numbers is 20050000.
- The arithmetic mean of these numbers is 50125.
How to find the numbers divisible by 250?
Finding all the numbers that can be divided by 250 is essentially the same as searching for the multiples of 250: if a number N is a multiple of 250, then 250 is a divisor of N.
Indeed, if we assume that N is a multiple of 250, this means there exists an integer k such that:
Conversely, the result of N divided by 250 is this same integer k (without any remainder):
From this we can see that, theoretically, there's an infinite quantity of multiples of 250 (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 250 less than 100000):
- 1 × 250 = 250
- 2 × 250 = 500
- 3 × 250 = 750
- ...
- 399 × 250 = 99750
- 400 × 250 = 100000