What are the numbers divisible by 4004?

How to find the numbers divisible by 4004?

Finding all the numbers that can be divided by 4004 is essentially the same as searching for the multiples of 4004: if a number N is a multiple of 4004, then 4004 is a divisor of N.

Indeed, if we assume that N is a multiple of 4004, this means there exists an integer k such that:

$k\times 4004=N$

Conversely, the result of N divided by 4004 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{4004}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4004 (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 4004 less than 100000):

• 1 × 4004 = 4004
• 2 × 4004 = 8008
• 3 × 4004 = 12012
• ...
• 23 × 4004 = 92092
• 24 × 4004 = 96096