What are the numbers divisible by 5000?

5000, 10000, 15000, 20000, 25000, 30000, 35000, 40000, 45000, 50000, 55000, 60000, 65000, 70000, 75000, 80000, 85000, 90000, 95000, 100000

There is a total of 20 numbers (up to 100000) that are divisible by 5000.
The sum of these numbers is 1050000.
The arithmetic mean of these numbers is 52500.

How to find the numbers divisible by 5000?

Finding all the numbers that can be divided by 5000 is essentially the same as searching for the multiples of 5000: if a number N is a multiple of 5000, then 5000 is a divisor of N.

Indeed, if we assume that N is a multiple of 5000, this means there exists an integer k such that:

$k \times 5000 = N$

Conversely, the result of N divided by 5000 is this same integer k (without any remainder):

$k = \frac{N}{5000}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5000 (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 5000 less than 100000):

1 × 5000 = 5000
2 × 5000 = 10000
3 × 5000 = 15000
...
19 × 5000 = 95000
20 × 5000 = 100000