Nerdle #241 Answer
Saturday, September 17, 2022
2+4*6=26
- Structure
- A+B*C=DE
- Type
- Mixed Addition and Multiplication
- Result
- 26
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses addition and multiplication operations.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 2 is prime, 4 is divisible by 2, 6 is divisible by 2 and 3, and 26 is divisible by 2 and 13
- Digital roots: 2 → 2, 4 → 4, 6 → 6, 26 → 2+6 = 8
- Prime factorization: 2 = 2, 4 = 2², 6 = 2×3, 26 = 2×13
Why the structure matters
This puzzle's shape is A+B*C=DE — a mixed addition and multiplication, 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 addition and multiplication, most of the search space is gone before you have spent a single guess.
The result, 26, factors as 2×13 — those factors are exactly the operations that could have produced it.
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