Find the average of all the factors of 2016.
As an explicit example, all the factors of 6 are 1, 2, 3 and 6. Thus the average of all the factors of 6 is .
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Firstly, 2 0 1 6 = 2 5 × 3 2 × 7
So the number of factors is just 6 × 3 × 2 = 3 6
And the sum of factors is 2 − 1 2 6 − 1 × 3 − 1 3 3 − 1 × 7 − 1 7 2 − 1 = 6 5 5 2
So the average is 6 5 5 2 ÷ 3 6 =