4^8+26^3 is not divisible by __?___ Modular arithmetic, Reddit r/askmath

We have to figure out the number 4^8+26^3 is NOT divisible by which of the following?
(A) 3 (B) 4 (C) 5 (D) 6 We cannot use a calculator for this so how can we solve this number theory problem without doing much calculation? I will demonstrate a solution by using modular arithmetic, i.e. "work with the remainder".
This question is from Reddit r/askmath.
Original post   / sh9elafz9x  

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