What are the numbers divisible by 882?

882, 1764, 2646, 3528, 4410, 5292, 6174, 7056, 7938, 8820, 9702, 10584, 11466, 12348, 13230, 14112, 14994, 15876, 16758, 17640, 18522, 19404, 20286, 21168, 22050, 22932, 23814, 24696, 25578, 26460, 27342, 28224, 29106, 29988, 30870, 31752, 32634, 33516, 34398, 35280, 36162, 37044, 37926, 38808, 39690, 40572, 41454, 42336, 43218, 44100, 44982, 45864, 46746, 47628, 48510, 49392, 50274, 51156, 52038, 52920, 53802, 54684, 55566, 56448, 57330, 58212, 59094, 59976, 60858, 61740, 62622, 63504, 64386, 65268, 66150, 67032, 67914, 68796, 69678, 70560, 71442, 72324, 73206, 74088, 74970, 75852, 76734, 77616, 78498, 79380, 80262, 81144, 82026, 82908, 83790, 84672, 85554, 86436, 87318, 88200, 89082, 89964, 90846, 91728, 92610, 93492, 94374, 95256, 96138, 97020, 97902, 98784, 99666

There is a total of 113 numbers (up to 100000) that are divisible by 882.
The sum of these numbers is 5680962.
The arithmetic mean of these numbers is 50274.

How to find the numbers divisible by 882?

Finding all the numbers that can be divided by 882 is essentially the same as searching for the multiples of 882: if a number N is a multiple of 882, then 882 is a divisor of N.

Indeed, if we assume that N is a multiple of 882, this means there exists an integer k such that:

$k \times 882 = N$

Conversely, the result of N divided by 882 is this same integer k (without any remainder):

$k = \frac{N}{882}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 882 (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 882 less than 100000):

1 × 882 = 882
2 × 882 = 1764
3 × 882 = 2646
...
112 × 882 = 98784
113 × 882 = 99666