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UKMT Senior Mathematical Challenge, 2024

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

The prime factorization of $2024$ is $2^3 \times 11 \times 23$ . How many two-digit numbers are factors of $2024$ ?

(A) $2$ (B) $4$ (C) $6$ (D) $7$ (E) $8$

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