Identify the odd number: Among 31, 39, 47, and 41, three are prime; one is composite. Choose the composite number.

Difficulty: Easy

Correct Answer: 39

Explanation:


Introduction / Context:
Prime recognition is central to numeric classification. Only one selection is composite.


Given Data / Assumptions:

  • Set: 31, 39, 47, 41.
  • Definition: prime has exactly two positive divisors.


Concept / Approach:
Apply small-prime divisibility tests, especially 3 and 5 for quick screening.


Step-by-Step Solution:

31 → not divisible by 2, 3, 5 → prime.39 → 3 + 9 = 12 → divisible by 3 → composite.47 → not divisible by 2, 3, 5 → prime.41 → not divisible by 2, 3, 5 → prime.


Verification / Alternative check:
Direct factorization: 39 = 3 * 13 confirms compositeness.


Why Other Options Are Wrong:
31, 47, 41 are primes.


Common Pitfalls:
Confusing proximity to a multiple of 3 with actual divisibility.


Final Answer:
39 is the composite number and the odd one out.

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