What are the numbers divisible by 756?

756, 1512, 2268, 3024, 3780, 4536, 5292, 6048, 6804, 7560, 8316, 9072, 9828, 10584, 11340, 12096, 12852, 13608, 14364, 15120, 15876, 16632, 17388, 18144, 18900, 19656, 20412, 21168, 21924, 22680, 23436, 24192, 24948, 25704, 26460, 27216, 27972, 28728, 29484, 30240, 30996, 31752, 32508, 33264, 34020, 34776, 35532, 36288, 37044, 37800, 38556, 39312, 40068, 40824, 41580, 42336, 43092, 43848, 44604, 45360, 46116, 46872, 47628, 48384, 49140, 49896, 50652, 51408, 52164, 52920, 53676, 54432, 55188, 55944, 56700, 57456, 58212, 58968, 59724, 60480, 61236, 61992, 62748, 63504, 64260, 65016, 65772, 66528, 67284, 68040, 68796, 69552, 70308, 71064, 71820, 72576, 73332, 74088, 74844, 75600, 76356, 77112, 77868, 78624, 79380, 80136, 80892, 81648, 82404, 83160, 83916, 84672, 85428, 86184, 86940, 87696, 88452, 89208, 89964, 90720, 91476, 92232, 92988, 93744, 94500, 95256, 96012, 96768, 97524, 98280, 99036, 99792

There is a total of 132 numbers (up to 100000) that are divisible by 756.
The sum of these numbers is 6636168.
The arithmetic mean of these numbers is 50274.

How to find the numbers divisible by 756?

Finding all the numbers that can be divided by 756 is essentially the same as searching for the multiples of 756: if a number N is a multiple of 756, then 756 is a divisor of N.

Indeed, if we assume that N is a multiple of 756, this means there exists an integer k such that:

$k \times 756 = N$

Conversely, the result of N divided by 756 is this same integer k (without any remainder):

$k = \frac{N}{756}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 756 (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 756 less than 100000):

1 × 756 = 756
2 × 756 = 1512
3 × 756 = 2268
...
131 × 756 = 99036
132 × 756 = 99792