What are the numbers divisible by 708?

708, 1416, 2124, 2832, 3540, 4248, 4956, 5664, 6372, 7080, 7788, 8496, 9204, 9912, 10620, 11328, 12036, 12744, 13452, 14160, 14868, 15576, 16284, 16992, 17700, 18408, 19116, 19824, 20532, 21240, 21948, 22656, 23364, 24072, 24780, 25488, 26196, 26904, 27612, 28320, 29028, 29736, 30444, 31152, 31860, 32568, 33276, 33984, 34692, 35400, 36108, 36816, 37524, 38232, 38940, 39648, 40356, 41064, 41772, 42480, 43188, 43896, 44604, 45312, 46020, 46728, 47436, 48144, 48852, 49560, 50268, 50976, 51684, 52392, 53100, 53808, 54516, 55224, 55932, 56640, 57348, 58056, 58764, 59472, 60180, 60888, 61596, 62304, 63012, 63720, 64428, 65136, 65844, 66552, 67260, 67968, 68676, 69384, 70092, 70800, 71508, 72216, 72924, 73632, 74340, 75048, 75756, 76464, 77172, 77880, 78588, 79296, 80004, 80712, 81420, 82128, 82836, 83544, 84252, 84960, 85668, 86376, 87084, 87792, 88500, 89208, 89916, 90624, 91332, 92040, 92748, 93456, 94164, 94872, 95580, 96288, 96996, 97704, 98412, 99120, 99828

There is a total of 141 numbers (up to 100000) that are divisible by 708.
The sum of these numbers is 7087788.
The arithmetic mean of these numbers is 50268.

How to find the numbers divisible by 708?

Finding all the numbers that can be divided by 708 is essentially the same as searching for the multiples of 708: if a number N is a multiple of 708, then 708 is a divisor of N.

Indeed, if we assume that N is a multiple of 708, this means there exists an integer k such that:

$k \times 708 = N$

Conversely, the result of N divided by 708 is this same integer k (without any remainder):

$k = \frac{N}{708}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 708 (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 708 less than 100000):

1 × 708 = 708
2 × 708 = 1416
3 × 708 = 2124
...
140 × 708 = 99120
141 × 708 = 99828