Number System · Question 22 · Medium
What is the highest power of 3 that exactly divides 50! (50 factorial)?
- 16
- 21
- 22
- 17
Answer and explanation
Answer: C. 22
Explanation: Count factors of 3: ⌊50/3⌋ + ⌊50/9⌋ + ⌊50/27⌋ = 16 + 5 + 1 = 22. So 3^22 is the highest power.
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