Choose the odd number: Among the following natural numbers, three are prime (not divisible by any integer greater than 1 except themselves), while one is composite. Identify the composite number that makes the set inconsistent.

Introduction / Context:Number-classification problems often ask you to separate prime numbers from composite numbers. Primes have exactly two positive divisors (1 and the number itself). A composite number has additional divisors beyond 1 and itself. Here, three options are prime; one is composite. Your job is to spot the composite number.

Given Data / Assumptions:

• Candidates: 17, 44, 29, 13.
• Definition: prime = exactly two distinct positive divisors; composite = more than two divisors.
• We only consider standard integer divisibility.

Concept / Approach:Test each number for small prime divisors (2, 3, 5, 7, 11). Even numbers greater than 2 are immediately composite. Odd numbers not divisible by small primes are likely prime (and can be confirmed by checking up to their square roots).

Step-by-Step Solution:

Verification / Alternative check:The parity shortcut flags 44 instantly as composite because all even integers above 2 are composite. Cross-check by factorization: 44 = 2 * 2 * 11, confirming more than two divisors.

Why Other Options Are Wrong:

Common Pitfalls:Confusing “odd” with “prime” is a common error; many odd numbers are composite. Always apply divisibility tests rather than relying on parity alone.

Final Answer:44 is the composite number and hence the odd one out.