Nerdle #896 Answer
Wednesday, July 3, 2024
372/62=6
- Structure
- ABC/DE=F
- Type
- Mixed-Length Division
- Result
- 6
How the clues would have read
- Today's equation begins with a two-digit number in the 370s.
- This puzzle uses division only.
- The result is a single-digit even number.
The numbers behind it
- Divisibility: 372 is divisible by 2, 3, 4, 6, 12, 31, 62, 93, 124, and 186, 62 is divisible by 2 and 31, and 6 is divisible by 2 and 3
- Digital roots: 372 → 3+7+2 = 12 → 3, 62 → 6+2 = 8, 6 → 6
- Prime factorization: 372 = 2²×3×31, 62 = 2×31, 6 = 2×3
Why the structure matters
This puzzle's shape is ABC/DE=F — 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, 6, factors as 2×3 — those factors are exactly the operations that could have produced it.
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