Nerdle #894 Answer
Monday, July 1, 2024
744/93=8
- Structure
- ABC/DE=F
- Type
- Mixed-Length Division
- Result
- 8
How the clues would have read
- Today's equation begins with a two-digit number in the 740s.
- This puzzle uses division only.
- The result is a single-digit even number.
The numbers behind it
- Divisibility: 744 is divisible by 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, and 372, 93 is divisible by 3 and 31, and 8 is divisible by 2 and 4
- Digital roots: 744 → 7+4+4 = 15 → 6, 93 → 9+3 = 12 → 3, 8 → 8
- Prime factorization: 744 = 2³×3×31, 93 = 3×31, 8 = 2³
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, 8, factors as 2³ — those factors are exactly the operations that could have produced it.
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