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SASMO 2020 Grade 9 Question 6

SASMO · SASMO 2020 Grade 9

Question 6

What is the smallest positive integer that can be expressed as a product of six positive integers such that any two of them are not coprime?

Interpretation: Repeated factors are allowed; “any two” refers to two different positions in the list.
  1. 60
  2. 64
  3. 360
  4. 5040
  5. None of the above