What are the numbers divisible by 748?

748, 1496, 2244, 2992, 3740, 4488, 5236, 5984, 6732, 7480, 8228, 8976, 9724, 10472, 11220, 11968, 12716, 13464, 14212, 14960, 15708, 16456, 17204, 17952, 18700, 19448, 20196, 20944, 21692, 22440, 23188, 23936, 24684, 25432, 26180, 26928, 27676, 28424, 29172, 29920, 30668, 31416, 32164, 32912, 33660, 34408, 35156, 35904, 36652, 37400, 38148, 38896, 39644, 40392, 41140, 41888, 42636, 43384, 44132, 44880, 45628, 46376, 47124, 47872, 48620, 49368, 50116, 50864, 51612, 52360, 53108, 53856, 54604, 55352, 56100, 56848, 57596, 58344, 59092, 59840, 60588, 61336, 62084, 62832, 63580, 64328, 65076, 65824, 66572, 67320, 68068, 68816, 69564, 70312, 71060, 71808, 72556, 73304, 74052, 74800, 75548, 76296, 77044, 77792, 78540, 79288, 80036, 80784, 81532, 82280, 83028, 83776, 84524, 85272, 86020, 86768, 87516, 88264, 89012, 89760, 90508, 91256, 92004, 92752, 93500, 94248, 94996, 95744, 96492, 97240, 97988, 98736, 99484

There is a total of 133 numbers (up to 100000) that are divisible by 748.
The sum of these numbers is 6665428.
The arithmetic mean of these numbers is 50116.

How to find the numbers divisible by 748?

Finding all the numbers that can be divided by 748 is essentially the same as searching for the multiples of 748: if a number N is a multiple of 748, then 748 is a divisor of N.

Indeed, if we assume that N is a multiple of 748, this means there exists an integer k such that:

$k \times 748 = N$

Conversely, the result of N divided by 748 is this same integer k (without any remainder):

$k = \frac{N}{748}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 748 (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 748 less than 100000):

1 × 748 = 748
2 × 748 = 1496
3 × 748 = 2244
...
132 × 748 = 98736
133 × 748 = 99484