Multiple choice

n is an integer and 2 < = n < = 50. If n is not divisible by any odd number (> 1), how many possible values can n be?

  1. 5

  2. 10

  3. 25

  4. 49
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A Correct answer
Explanation

n can always be divisible by itself, so n is not an odd number. n is not divisible by any odd number, so n's factors can only be 2 or 2m. Hence, n can only be 2, 2^2 = 4, 2^3 = 8, 2^4 = 1^6 and 2^5 = 32. There are 5 possible values.

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