Find the odd number out: 3, 5, 7, 12, 13, 17, 19.

Difficulty: Easy

Correct Answer: 12

Explanation:


Introduction / Context:
This set is dominated by primes; a single composite number appears among them. Recognizing small primes (up to about 20) quickly isolates the outlier.


Given Data / Assumptions:

  • Primes present: 3, 5, 7, 13, 17, 19
  • Composite present: 12 (divisible by 2, 3, 4, 6)


Concept / Approach:
Classify each as prime or composite. The composite entry among mostly primes is the odd one out.


Step-by-Step Solution:
Check: 12 is composite; all the others listed are prime numbersTherefore, 12 is the odd term


Verification / Alternative check:
Trial division confirms primality of 13, 17, 19 and composite nature of 12; 12 = 3*4 = 2*6.


Why Other Options Are Wrong:
19/17/13 are prime and belong with the majority of the set.


Common Pitfalls:
Mislabeling 1 as prime (not applicable here) or overlooking small composite checks.


Final Answer:
12

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