Nerdle #873 Answer
Monday, June 10, 2024
230/5=46
- Structure
- ABC/D=EF
- Type
- Mixed-Length Division
- Result
- 46
How the clues would have read
- Today's equation begins with a two-digit number in the 230s.
- This puzzle uses division only.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 230 is divisible by 2, 5, 10, 23, 46, and 115, 5 is prime, and 46 is divisible by 2 and 23
- Digital roots: 230 → 2+3+0 = 5, 5 → 5, 46 → 4+6 = 10 → 1
- Prime factorization: 230 = 2×5×23, 5 = 5, 46 = 2×23
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, 46, factors as 2×23 — those factors are exactly the operations that could have produced it.
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