Nerdle #1075 Answer
Sunday, December 29, 2024
3*2*3=18
- Structure
- A*B*C=DE
- Type
- Single-Digit Multiplication
- Result
- 18
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses multiplication only.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 3 is prime, 2 is prime, 3 is prime, and 18 is divisible by 2, 3, 6, and 9
- Digital roots: 3 → 3, 2 → 2, 3 → 3, 18 → 1+8 = 9
- Prime factorization: 3 = 3, 2 = 2, 3 = 3, 18 = 2×3²
Why the structure matters
This puzzle's shape is A*B*C=DE — a single-digit 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 single-digit multiplication, most of the search space is gone before you have spent a single guess.
The result, 18, factors as 2×3² — those factors are exactly the operations that could have produced it.
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