What are the numbers divisible by 5101?

How to find the numbers divisible by 5101?

Finding all the numbers that can be divided by 5101 is essentially the same as searching for the multiples of 5101: if a number N is a multiple of 5101, then 5101 is a divisor of N.

Indeed, if we assume that N is a multiple of 5101, this means there exists an integer k such that:

$k\times 5101=N$

Conversely, the result of N divided by 5101 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{5101}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5101 (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 5101 less than 100000):

• 1 × 5101 = 5101
• 2 × 5101 = 10202
• 3 × 5101 = 15303
• ...
• 18 × 5101 = 91818
• 19 × 5101 = 96919