Multiple choice general knowledge math & puzzles

The highest power of 3 which exactly divides 10! is:

  1. 3

  2. 2

  3. 5

  4. 4
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the highest power of 3 dividing 10!, we count the total factors of 3 in the prime factorization. Count multiples of 3 (3, 6, 9 contribute one each, but 9=3² contributes an extra factor). Total: floor(10/3)+floor(10/9)=3+1=4, so 3^4=81 divides 10! but 3^5=243 does not.

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