Identify the odd number: Among 26, 34, 72, and 46, three are not divisible by 3, while one is divisible by 3. Pick the number that is a multiple of 3.

Introduction / Context:This item separates numbers based on divisibility by 3. The single multiple of 3 is the odd one out against three non-multiples.

Given Data / Assumptions:

• Options: 26, 34, 72, 46.
• Digit-sum rule for 3: sum of digits multiple of 3 → number divisible by 3.

Concept / Approach:Compute digit sums quickly and apply the rule.

Step-by-Step Solution:

Verification / Alternative check:Direct division confirms 72/3 = 24 (integer). The others do not yield integers when divided by 3.

Why Other Options Are Wrong:They are not divisible by 3, matching the majority characteristic.

Common Pitfalls:Seeing “even” and assuming divisibility by 3; parity is irrelevant to divisibility by 3.

Final Answer:72 is the only multiple of 3 and thus the odd number.