What are the numbers divisible by 8124?

8124, 16248, 24372, 32496, 40620, 48744, 56868, 64992, 73116, 81240, 89364, 97488

There is a total of 12 numbers (up to 100000) that are divisible by 8124.
The sum of these numbers is 633672.
The arithmetic mean of these numbers is 52806.

How to find the numbers divisible by 8124?

Finding all the numbers that can be divided by 8124 is essentially the same as searching for the multiples of 8124: if a number N is a multiple of 8124, then 8124 is a divisor of N.

Indeed, if we assume that N is a multiple of 8124, this means there exists an integer k such that:

$k \times 8124 = N$

Conversely, the result of N divided by 8124 is this same integer k (without any remainder):

$k = \frac{N}{8124}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8124 (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 8124 less than 100000):

1 × 8124 = 8124
2 × 8124 = 16248
3 × 8124 = 24372
...
11 × 8124 = 89364
12 × 8124 = 97488