Nerdle #246 Answer
Thursday, September 22, 2022
1+9*9=82
- Structure
- A+B*C=DE
- Type
- Mixed Addition and Multiplication
- Result
- 82
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: 1 is prime, 9 is divisible by 3, 9 is divisible by 3, and 82 is divisible by 2 and 41
- Digital roots: 1 → 1, 9 → 9, 9 → 9, 82 → 8+2 = 10 → 1
- Prime factorization: 1 has no prime factors, 9 = 3², 9 = 3², 82 = 2×41
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, 82, factors as 2×41 — those factors are exactly the operations that could have produced it.
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