What are the numbers divisible by 7104?

7104, 14208, 21312, 28416, 35520, 42624, 49728, 56832, 63936, 71040, 78144, 85248, 92352, 99456

There is a total of 14 numbers (up to 100000) that are divisible by 7104.
The sum of these numbers is 745920.
The arithmetic mean of these numbers is 53280.

How to find the numbers divisible by 7104?

Finding all the numbers that can be divided by 7104 is essentially the same as searching for the multiples of 7104: if a number N is a multiple of 7104, then 7104 is a divisor of N.

Indeed, if we assume that N is a multiple of 7104, this means there exists an integer k such that:

$k \times 7104 = N$

Conversely, the result of N divided by 7104 is this same integer k (without any remainder):

$k = \frac{N}{7104}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 7104 (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 7104 less than 100000):

1 × 7104 = 7104
2 × 7104 = 14208
3 × 7104 = 21312
...
13 × 7104 = 92352
14 × 7104 = 99456