What are the numbers divisible by 7008?

How to find the numbers divisible by 7008?

Finding all the numbers that can be divided by 7008 is essentially the same as searching for the multiples of 7008: if a number N is a multiple of 7008, then 7008 is a divisor of N.

Indeed, if we assume that N is a multiple of 7008, this means there exists an integer k such that:

$k\times 7008=N$

Conversely, the result of N divided by 7008 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{7008}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 7008 (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 7008 less than 100000):

• 1 × 7008 = 7008
• 2 × 7008 = 14016
• 3 × 7008 = 21024
• ...
• 13 × 7008 = 91104
• 14 × 7008 = 98112