4^{61}+4^{62}+4^{63}+4^{64} is divisible by

Explanation

Factor out 4^{61} to get 4^{61}(1 + 4^1 + 4^2 + 4^3) = 4^{61}(1 + 4 + 16 + 64) = 4^{61} \times 85. Since 85 = 5 \times 17, the entire expression is a multiple of 17.

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