Multiple choice general knowledge

If 12! is divisible by 2 raised to N, then what is the value of N which makes the result an odd number?

  1. 3

  2. 5

  3. 10

  4. 12

  5. 15
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using Legendre's formula for exponent of 2 in 12!: floor(12/2)=6, floor(12/4)=3, floor(12/8)=1, floor(12/16)=0. Sum = 10. So 2¹⁰ divides 12! completely, leaving an odd quotient (all 2s removed).

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