What are the numbers divisible by 4006?

4006, 8012, 12018, 16024, 20030, 24036, 28042, 32048, 36054, 40060, 44066, 48072, 52078, 56084, 60090, 64096, 68102, 72108, 76114, 80120, 84126, 88132, 92138, 96144

How to find the numbers divisible by 4006?

Finding all the numbers that can be divided by 4006 is essentially the same as searching for the multiples of 4006: if a number N is a multiple of 4006, then 4006 is a divisor of N.

Indeed, if we assume that N is a multiple of 4006, this means there exists an integer k such that:

k × 4006 = N

Conversely, the result of N divided by 4006 is this same integer k (without any remainder):

k = N 4006

From this we can see that, theoretically, there's an infinite quantity of multiples of 4006 (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 4006 less than 100000):

  • 1 × 4006 = 4006
  • 2 × 4006 = 8012
  • 3 × 4006 = 12018
  • ...
  • 23 × 4006 = 92138
  • 24 × 4006 = 96144