What are the numbers divisible by 5025?

How to find the numbers divisible by 5025?

Finding all the numbers that can be divided by 5025 is essentially the same as searching for the multiples of 5025: if a number N is a multiple of 5025, then 5025 is a divisor of N.

Indeed, if we assume that N is a multiple of 5025, this means there exists an integer k such that:

$k\times 5025=N$

Conversely, the result of N divided by 5025 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{5025}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5025 (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 5025 less than 100000):

• 1 × 5025 = 5025
• 2 × 5025 = 10050
• 3 × 5025 = 15075
• ...
• 18 × 5025 = 90450
• 19 × 5025 = 95475