What are the numbers divisible by 4020?

How to find the numbers divisible by 4020?

Finding all the numbers that can be divided by 4020 is essentially the same as searching for the multiples of 4020: if a number N is a multiple of 4020, then 4020 is a divisor of N.

Indeed, if we assume that N is a multiple of 4020, this means there exists an integer k such that:

$k\times 4020=N$

Conversely, the result of N divided by 4020 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{4020}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4020 (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 4020 less than 100000):

• 1 × 4020 = 4020
• 2 × 4020 = 8040
• 3 × 4020 = 12060
• ...
• 23 × 4020 = 92460
• 24 × 4020 = 96480