Choose the odd number: In 17, 44, 29, and 13, three are prime while one is composite. Identify the composite number.

Difficulty: Easy

Correct Answer: 44

Explanation:

Introduction / Context:The task is to separate a composite number from a set otherwise consisting of primes.

Given Data / Assumptions:

  • Numbers: 17, 44, 29, 13.
  • Primes have exactly two divisors.

Concept / Approach:Check quick divisibility: even > 2 implies composite; then confirm that the others lack small prime divisors.

Step-by-Step Solution:

44 → even and > 2 → composite (2 * 22 = 4 * 11).17 → prime.29 → prime.13 → prime.

Verification / Alternative check:Prime checks up to sqrt(n) for 17, 29, 13 show no non-trivial factors.

Why Other Options Are Wrong:They are prime and consistent with the majority property.

Common Pitfalls:Assuming a larger value is more likely composite; size alone is not decisive.

Final Answer:44 is composite and thus the odd number.

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