What are the numbers divisible by 8125?

8125, 16250, 24375, 32500, 40625, 48750, 56875, 65000, 73125, 81250, 89375, 97500

There is a total of 12 numbers (up to 100000) that are divisible by 8125.
The sum of these numbers is 633750.
The arithmetic mean of these numbers is 52812.5.

How to find the numbers divisible by 8125?

Finding all the numbers that can be divided by 8125 is essentially the same as searching for the multiples of 8125: if a number N is a multiple of 8125, then 8125 is a divisor of N.

Indeed, if we assume that N is a multiple of 8125, this means there exists an integer k such that:

$k \times 8125 = N$

Conversely, the result of N divided by 8125 is this same integer k (without any remainder):

$k = \frac{N}{8125}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8125 (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 8125 less than 100000):

1 × 8125 = 8125
2 × 8125 = 16250
3 × 8125 = 24375
...
11 × 8125 = 89375
12 × 8125 = 97500