What are the numbers divisible by 5006?

How to find the numbers divisible by 5006?

Finding all the numbers that can be divided by 5006 is essentially the same as searching for the multiples of 5006: if a number N is a multiple of 5006, then 5006 is a divisor of N.

Indeed, if we assume that N is a multiple of 5006, this means there exists an integer k such that:

$k\times 5006=N$

Conversely, the result of N divided by 5006 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{5006}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5006 (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 5006 less than 100000):

• 1 × 5006 = 5006
• 2 × 5006 = 10012
• 3 × 5006 = 15018
• ...
• 18 × 5006 = 90108
• 19 × 5006 = 95114