What are the numbers divisible by 5013?

How to find the numbers divisible by 5013?

Finding all the numbers that can be divided by 5013 is essentially the same as searching for the multiples of 5013: if a number N is a multiple of 5013, then 5013 is a divisor of N.

Indeed, if we assume that N is a multiple of 5013, this means there exists an integer k such that:

$k\times 5013=N$

Conversely, the result of N divided by 5013 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{5013}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5013 (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 5013 less than 100000):

• 1 × 5013 = 5013
• 2 × 5013 = 10026
• 3 × 5013 = 15039
• ...
• 18 × 5013 = 90234
• 19 × 5013 = 95247