Classification – Odd one out (prime vs composite and divisibility by 3) Three numbers are clearly composite (two are divisible by 3, one is even). Identify the sole prime number and mark it as the odd one out.

Introduction / Context:
Another frequent odd-one-out theme contrasts primality against compositeness. Rapid prime checks (divisibility by small primes) narrow candidates quickly.

Given Data / Assumptions:

• Options: 369, 462, 761, 862
• We will test divisibility by 2, 3, 5, 7, 11, 13, etc., as needed.

Concept / Approach:
First, eliminate obvious composites: even numbers are composite unless 2; numbers with digit sum divisible by 3 are multiples of 3 (composite if greater than 3). The residue can be tested further for primality.

Step-by-Step Solution:
369 → 3 + 6 + 9 = 18 → divisible by 3 → composite.462 → even → composite.862 → even → composite.761 → not divisible by 2, 3, 5. Further tests (7, 11, 13, 17, 19, 23) do not divide 761 evenly → prime.

Verification / Alternative check:
Trial division up to sqrt(761) ≈ 27.6 suffices. None of primes up to 27 divide 761, confirming primality.

Why Other Options Are Wrong:

• 369: Multiple of 3 → composite.
• 462: Even → composite.
• 862: Even → composite.
• None of these: A single prime (761) exists.

Common Pitfalls:
Stopping at “odd = prime.” Many odd numbers are composite; use proper divisibility checks.

Final Answer:
761