What are the numbers divisible by 758?

758, 1516, 2274, 3032, 3790, 4548, 5306, 6064, 6822, 7580, 8338, 9096, 9854, 10612, 11370, 12128, 12886, 13644, 14402, 15160, 15918, 16676, 17434, 18192, 18950, 19708, 20466, 21224, 21982, 22740, 23498, 24256, 25014, 25772, 26530, 27288, 28046, 28804, 29562, 30320, 31078, 31836, 32594, 33352, 34110, 34868, 35626, 36384, 37142, 37900, 38658, 39416, 40174, 40932, 41690, 42448, 43206, 43964, 44722, 45480, 46238, 46996, 47754, 48512, 49270, 50028, 50786, 51544, 52302, 53060, 53818, 54576, 55334, 56092, 56850, 57608, 58366, 59124, 59882, 60640, 61398, 62156, 62914, 63672, 64430, 65188, 65946, 66704, 67462, 68220, 68978, 69736, 70494, 71252, 72010, 72768, 73526, 74284, 75042, 75800, 76558, 77316, 78074, 78832, 79590, 80348, 81106, 81864, 82622, 83380, 84138, 84896, 85654, 86412, 87170, 87928, 88686, 89444, 90202, 90960, 91718, 92476, 93234, 93992, 94750, 95508, 96266, 97024, 97782, 98540, 99298

There is a total of 131 numbers (up to 100000) that are divisible by 758.
The sum of these numbers is 6553668.
The arithmetic mean of these numbers is 50028.

How to find the numbers divisible by 758?

Finding all the numbers that can be divided by 758 is essentially the same as searching for the multiples of 758: if a number N is a multiple of 758, then 758 is a divisor of N.

Indeed, if we assume that N is a multiple of 758, this means there exists an integer k such that:

$k \times 758 = N$

Conversely, the result of N divided by 758 is this same integer k (without any remainder):

$k = \frac{N}{758}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 758 (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 758 less than 100000):

1 × 758 = 758
2 × 758 = 1516
3 × 758 = 2274
...
130 × 758 = 98540
131 × 758 = 99298