What are the numbers divisible by 7001?

How to find the numbers divisible by 7001?

Finding all the numbers that can be divided by 7001 is essentially the same as searching for the multiples of 7001: if a number N is a multiple of 7001, then 7001 is a divisor of N.

Indeed, if we assume that N is a multiple of 7001, this means there exists an integer k such that:

$k\times 7001=N$

Conversely, the result of N divided by 7001 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{7001}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 7001 (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 7001 less than 100000):

• 1 × 7001 = 7001
• 2 × 7001 = 14002
• 3 × 7001 = 21003
• ...
• 13 × 7001 = 91013
• 14 × 7001 = 98014