Explanation:
16⁴ - 2¹³ - 4⁵
= 2¹⁶ - 2¹³ - 2¹⁰
= 2¹⁰(2⁶ - 2³ - 1)
= 2¹⁰(64 - 8 - 1)
= 2¹⁰ * 55
= 2¹⁰ * 5 * 11.
Since it contains 11 in its prime factorization, it is divisible by 11. (Proven)
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