What are the numbers divisible by 4125?

How to find the numbers divisible by 4125?

Finding all the numbers that can be divided by 4125 is essentially the same as searching for the multiples of 4125: if a number N is a multiple of 4125, then 4125 is a divisor of N.

Indeed, if we assume that N is a multiple of 4125, this means there exists an integer k such that:

$k\times 4125=N$

Conversely, the result of N divided by 4125 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{4125}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4125 (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 4125 less than 100000):

• 1 × 4125 = 4125
• 2 × 4125 = 8250
• 3 × 4125 = 12375
• ...
• 23 × 4125 = 94875
• 24 × 4125 = 99000