Correct Answer - Option 3 : 13
Concept used:
Any number (xn - 1) is divisible by (x + 1), when n is even.
Calculation:
Here, n = 16, which is even
(5116 - 1) is divisible by (51 + 1) = 52
And, 52 is divisible by 13.
If any number is divisible by 52 then that number is always divisible by 13
∴ The given number (5116 - 1) is divisible by 13.