Nerdle #80 Answer
Saturday, April 9, 2022
268/4=67
- Structure
- ABC/D=EF
- Type
- Mixed-Length Division
- Result
- 67
How the clues would have read
- Today's equation begins with a two-digit number in the 260s.
- This puzzle uses division only.
- The result is a 2-digit odd number.
The numbers behind it
- Divisibility: 268 is divisible by 2, 4, 67, and 134, 4 is divisible by 2, and 67 is prime
- Digital roots: 268 → 2+6+8 = 16 → 7, 4 → 4, 67 → 6+7 = 13 → 4
- Prime factorization: 268 = 2²×67, 4 = 2², 67 = 67
Why the structure matters
This puzzle's shape is ABC/D=EF — 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, 67, is prime — so it cannot be reached by multiplying two smaller whole numbers, which rules out a whole family of candidate equations immediately.
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