What are the numbers divisible by 6004?

How to find the numbers divisible by 6004?

Finding all the numbers that can be divided by 6004 is essentially the same as searching for the multiples of 6004: if a number N is a multiple of 6004, then 6004 is a divisor of N.

Indeed, if we assume that N is a multiple of 6004, this means there exists an integer k such that:

$k\times 6004=N$

Conversely, the result of N divided by 6004 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{6004}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6004 (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 6004 less than 100000):

• 1 × 6004 = 6004
• 2 × 6004 = 12008
• 3 × 6004 = 18012
• ...
• 15 × 6004 = 90060
• 16 × 6004 = 96064