What are the numbers divisible by 5123?

How to find the numbers divisible by 5123?

Finding all the numbers that can be divided by 5123 is essentially the same as searching for the multiples of 5123: if a number N is a multiple of 5123, then 5123 is a divisor of N.

Indeed, if we assume that N is a multiple of 5123, this means there exists an integer k such that:

$k\times 5123=N$

Conversely, the result of N divided by 5123 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{5123}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5123 (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 5123 less than 100000):

• 1 × 5123 = 5123
• 2 × 5123 = 10246
• 3 × 5123 = 15369
• ...
• 18 × 5123 = 92214
• 19 × 5123 = 97337