What are the numbers divisible by 4099?

How to find the numbers divisible by 4099?

Finding all the numbers that can be divided by 4099 is essentially the same as searching for the multiples of 4099: if a number N is a multiple of 4099, then 4099 is a divisor of N.

Indeed, if we assume that N is a multiple of 4099, this means there exists an integer k such that:

$k\times 4099=N$

Conversely, the result of N divided by 4099 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{4099}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4099 (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 4099 less than 100000):

• 1 × 4099 = 4099
• 2 × 4099 = 8198
• 3 × 4099 = 12297
• ...
• 23 × 4099 = 94277
• 24 × 4099 = 98376