Nerdle #178 Answer
Saturday, July 16, 2022
96/6/4=4
- Structure
- AB/C/D=E
- Type
- Mixed-Length Division
- Result
- 4
How the clues would have read
- Today's equation begins with a two-digit number in the 90s.
- This puzzle uses division only.
- The result is a single-digit even number.
The numbers behind it
- Divisibility: 96 is divisible by 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48, 6 is divisible by 2 and 3, 4 is divisible by 2, and 4 is divisible by 2
- Digital roots: 96 → 9+6 = 15 → 6, 6 → 6, 4 → 4, 4 → 4
- Prime factorization: 96 = 2⁵×3, 6 = 2×3, 4 = 2², 4 = 2²
Why the structure matters
This puzzle's shape is AB/C/D=E — a mixed-length division, where each letter stands for one digit. Recognising the shape before the arithmetic is what separates a three-guess solve from a six-guess struggle: once you know the equation is a mixed-length division, most of the search space is gone before you have spent a single guess.
The result, 4, factors as 2² — those factors are exactly the operations that could have produced it.
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