Find the odd number: In 121, 88, 97, and 132, three are composite while one is prime. Identify the prime number.

Introduction / Context:Among mixed-sized integers, quickly separating primes from composites is key. Here, three numbers are composite; one is prime.

Given Data / Assumptions:

• Options: 121, 88, 97, 132.
• 121 = 11^2; 88 and 132 are even.

Concept / Approach:Use parity and perfect-square recognition, then check the remaining candidate with small primes.

Step-by-Step Solution:

Verification / Alternative check:Upper bound for trial division is floor(sqrt(97)) = 9; primes to test: 2, 3, 5, 7. None divides 97, confirming primality.

Why Other Options Are Wrong:Each has an obvious factor: 121 is 11^2; 88 = 8 * 11; 132 = 12 * 11.

Common Pitfalls:Assuming “near 100” implies compositeness without checking.

Final Answer:97 is prime and therefore the odd number.