Nerdle #1663 Answer
Sunday, August 9, 2026
252/6=42
- Structure
- ABC/D=EF
- Type
- Mixed-Length Division
- Result
- 42
How the clues would have read
- Today's equation begins with a two-digit number in the 250s.
- This puzzle uses division only.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 252 is divisible by 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, and 126, 6 is divisible by 2 and 3, and 42 is divisible by 2, 3, 6, 7, 14, and 21
- Digital roots: 252 → 2+5+2 = 9, 6 → 6, 42 → 4+2 = 6
- Prime factorization: 252 = 2²×3²×7, 6 = 2×3, 42 = 2×3×7
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, 42, factors as 2×3×7 — those factors are exactly the operations that could have produced it.
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