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IMAS 2016 — Upper Primary Grades 5–6 — Round 2 Question 3

IMAS · IMAS 2016 — Upper Primary Grades 5–6 — Round 2

Question 3

How many factors of $3^4\times5^6\times7^{10}$ are relatively prime to 15?
  1. 10
  2. 11
  3. 20
  4. 21
  5. 44