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, 2023

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

How many of the numbers $6, 7, 8, 9, 10$ are factors of the sum $2^{2024} + 2^{2023} + 2^{2022}$ ?

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $5$

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