What are the numbers divisible by 6009?

How to find the numbers divisible by 6009?

Finding all the numbers that can be divided by 6009 is essentially the same as searching for the multiples of 6009: if a number N is a multiple of 6009, then 6009 is a divisor of N.

Indeed, if we assume that N is a multiple of 6009, this means there exists an integer k such that:

$k\times 6009=N$

Conversely, the result of N divided by 6009 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{6009}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6009 (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 6009 less than 100000):

• 1 × 6009 = 6009
• 2 × 6009 = 12018
• 3 × 6009 = 18027
• ...
• 15 × 6009 = 90135
• 16 × 6009 = 96144