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IKMC 2023 - Grades 9-10 - Self-study Question 18

IKMC · IKMC 2023 - Grades 9-10 - Self-study

Question 18

A two-digit number is power-less if neither digit can be written as an integer raised to a power greater than 1. For example 53 qualifies, but 54 does not because 4=2². Which is a common divisor of the smallest and largest power-less numbers?
  1. 3
  2. 5
  3. 7
  4. 11
  5. 13