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IKMC 2023 - Grades 11-12 - Set 2 - Self-study Question 20

IKMC · IKMC 2023 - Grades 11-12 - Set 2 - Self-study

Question 20

How many integers are factors of $2^{20}3^{23}$ but are not factors of $2^{10}3^{20}$?

Editorial convention: the supplied answer key uses positive factors, the usual contest convention; scoring here follows that convention. The signed-integer interpretation is discussed in the solution.
  1. 13
  2. 30
  3. 273
  4. 460
  5. None of the previous choices