Nerdle #290 Answer
Saturday, November 5, 2022
42/7+2=8
- Structure
- AB/C+D=E
- Type
- Mixed Division and Addition
- Result
- 8
How the clues would have read
- Today's equation begins with a two-digit number in the 40s.
- This puzzle uses addition and division operations.
- The result is a single-digit even number.
The numbers behind it
- Divisibility: 42 is divisible by 2, 3, 6, 7, 14, and 21, 7 is prime, 2 is prime, and 8 is divisible by 2 and 4
- Digital roots: 42 → 4+2 = 6, 7 → 7, 2 → 2, 8 → 8
- Prime factorization: 42 = 2×3×7, 7 = 7, 2 = 2, 8 = 2³
Why the structure matters
This puzzle's shape is AB/C+D=E — a mixed division and addition, 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 division and addition, 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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