What are the numbers divisible by 6001?

How to find the numbers divisible by 6001?

Finding all the numbers that can be divided by 6001 is essentially the same as searching for the multiples of 6001: if a number N is a multiple of 6001, then 6001 is a divisor of N.

Indeed, if we assume that N is a multiple of 6001, this means there exists an integer k such that:

$k\times 6001=N$

Conversely, the result of N divided by 6001 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{6001}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6001 (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 6001 less than 100000):

• 1 × 6001 = 6001
• 2 × 6001 = 12002
• 3 × 6001 = 18003
• ...
• 15 × 6001 = 90015
• 16 × 6001 = 96016