What are the numbers divisible by 7035?

7035, 14070, 21105, 28140, 35175, 42210, 49245, 56280, 63315, 70350, 77385, 84420, 91455, 98490

There is a total of 14 numbers (up to 100000) that are divisible by 7035.
The sum of these numbers is 738675.
The arithmetic mean of these numbers is 52762.5.

How to find the numbers divisible by 7035?

Finding all the numbers that can be divided by 7035 is essentially the same as searching for the multiples of 7035: if a number N is a multiple of 7035, then 7035 is a divisor of N.

Indeed, if we assume that N is a multiple of 7035, this means there exists an integer k such that:

$k \times 7035 = N$

Conversely, the result of N divided by 7035 is this same integer k (without any remainder):

$k = \frac{N}{7035}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 7035 (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 7035 less than 100000):

1 × 7035 = 7035
2 × 7035 = 14070
3 × 7035 = 21105
...
13 × 7035 = 91455
14 × 7035 = 98490