What are the numbers divisible by 4038?

How to find the numbers divisible by 4038?

Finding all the numbers that can be divided by 4038 is essentially the same as searching for the multiples of 4038: if a number N is a multiple of 4038, then 4038 is a divisor of N.

Indeed, if we assume that N is a multiple of 4038, this means there exists an integer k such that:

$k\times 4038=N$

Conversely, the result of N divided by 4038 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{4038}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4038 (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 4038 less than 100000):

• 1 × 4038 = 4038
• 2 × 4038 = 8076
• 3 × 4038 = 12114
• ...
• 23 × 4038 = 92874
• 24 × 4038 = 96912