What are the numbers divisible by 888?

888, 1776, 2664, 3552, 4440, 5328, 6216, 7104, 7992, 8880, 9768, 10656, 11544, 12432, 13320, 14208, 15096, 15984, 16872, 17760, 18648, 19536, 20424, 21312, 22200, 23088, 23976, 24864, 25752, 26640, 27528, 28416, 29304, 30192, 31080, 31968, 32856, 33744, 34632, 35520, 36408, 37296, 38184, 39072, 39960, 40848, 41736, 42624, 43512, 44400, 45288, 46176, 47064, 47952, 48840, 49728, 50616, 51504, 52392, 53280, 54168, 55056, 55944, 56832, 57720, 58608, 59496, 60384, 61272, 62160, 63048, 63936, 64824, 65712, 66600, 67488, 68376, 69264, 70152, 71040, 71928, 72816, 73704, 74592, 75480, 76368, 77256, 78144, 79032, 79920, 80808, 81696, 82584, 83472, 84360, 85248, 86136, 87024, 87912, 88800, 89688, 90576, 91464, 92352, 93240, 94128, 95016, 95904, 96792, 97680, 98568, 99456

There is a total of 112 numbers (up to 100000) that are divisible by 888.
The sum of these numbers is 5619264.
The arithmetic mean of these numbers is 50172.

How to find the numbers divisible by 888?

Finding all the numbers that can be divided by 888 is essentially the same as searching for the multiples of 888: if a number N is a multiple of 888, then 888 is a divisor of N.

Indeed, if we assume that N is a multiple of 888, this means there exists an integer k such that:

$k \times 888 = N$

Conversely, the result of N divided by 888 is this same integer k (without any remainder):

$k = \frac{N}{888}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 888 (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 888 less than 100000):

1 × 888 = 888
2 × 888 = 1776
3 × 888 = 2664
...
111 × 888 = 98568
112 × 888 = 99456