What are the numbers divisible by 715?

715, 1430, 2145, 2860, 3575, 4290, 5005, 5720, 6435, 7150, 7865, 8580, 9295, 10010, 10725, 11440, 12155, 12870, 13585, 14300, 15015, 15730, 16445, 17160, 17875, 18590, 19305, 20020, 20735, 21450, 22165, 22880, 23595, 24310, 25025, 25740, 26455, 27170, 27885, 28600, 29315, 30030, 30745, 31460, 32175, 32890, 33605, 34320, 35035, 35750, 36465, 37180, 37895, 38610, 39325, 40040, 40755, 41470, 42185, 42900, 43615, 44330, 45045, 45760, 46475, 47190, 47905, 48620, 49335, 50050, 50765, 51480, 52195, 52910, 53625, 54340, 55055, 55770, 56485, 57200, 57915, 58630, 59345, 60060, 60775, 61490, 62205, 62920, 63635, 64350, 65065, 65780, 66495, 67210, 67925, 68640, 69355, 70070, 70785, 71500, 72215, 72930, 73645, 74360, 75075, 75790, 76505, 77220, 77935, 78650, 79365, 80080, 80795, 81510, 82225, 82940, 83655, 84370, 85085, 85800, 86515, 87230, 87945, 88660, 89375, 90090, 90805, 91520, 92235, 92950, 93665, 94380, 95095, 95810, 96525, 97240, 97955, 98670, 99385

There is a total of 139 numbers (up to 100000) that are divisible by 715.
The sum of these numbers is 6956950.
The arithmetic mean of these numbers is 50050.

How to find the numbers divisible by 715?

Finding all the numbers that can be divided by 715 is essentially the same as searching for the multiples of 715: if a number N is a multiple of 715, then 715 is a divisor of N.

Indeed, if we assume that N is a multiple of 715, this means there exists an integer k such that:

$k \times 715 = N$

Conversely, the result of N divided by 715 is this same integer k (without any remainder):

$k = \frac{N}{715}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 715 (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 715 less than 100000):

1 × 715 = 715
2 × 715 = 1430
3 × 715 = 2145
...
138 × 715 = 98670
139 × 715 = 99385