What are the numbers divisible by 988?

988, 1976, 2964, 3952, 4940, 5928, 6916, 7904, 8892, 9880, 10868, 11856, 12844, 13832, 14820, 15808, 16796, 17784, 18772, 19760, 20748, 21736, 22724, 23712, 24700, 25688, 26676, 27664, 28652, 29640, 30628, 31616, 32604, 33592, 34580, 35568, 36556, 37544, 38532, 39520, 40508, 41496, 42484, 43472, 44460, 45448, 46436, 47424, 48412, 49400, 50388, 51376, 52364, 53352, 54340, 55328, 56316, 57304, 58292, 59280, 60268, 61256, 62244, 63232, 64220, 65208, 66196, 67184, 68172, 69160, 70148, 71136, 72124, 73112, 74100, 75088, 76076, 77064, 78052, 79040, 80028, 81016, 82004, 82992, 83980, 84968, 85956, 86944, 87932, 88920, 89908, 90896, 91884, 92872, 93860, 94848, 95836, 96824, 97812, 98800, 99788

There is a total of 101 numbers (up to 100000) that are divisible by 988.
The sum of these numbers is 5089188.
The arithmetic mean of these numbers is 50388.

How to find the numbers divisible by 988?

Finding all the numbers that can be divided by 988 is essentially the same as searching for the multiples of 988: if a number N is a multiple of 988, then 988 is a divisor of N.

Indeed, if we assume that N is a multiple of 988, this means there exists an integer k such that:

$k \times 988 = N$

Conversely, the result of N divided by 988 is this same integer k (without any remainder):

$k = \frac{N}{988}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 988 (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 988 less than 100000):

1 × 988 = 988
2 × 988 = 1976
3 × 988 = 2964
...
100 × 988 = 98800
101 × 988 = 99788