Nerdle #1117 Answer
Sunday, February 9, 2025
39*7=273
- Structure
- AB*C=DEF
- Type
- Mixed-Length Multiplication
- Result
- 273
How the clues would have read
- Today's equation begins with a two-digit number in the 30s.
- This puzzle uses multiplication only.
- The result is a 3-digit odd number.
The numbers behind it
- Divisibility: 39 is divisible by 3 and 13, 7 is prime, and 273 is divisible by 3, 7, 13, 21, 39, and 91
- Digital roots: 39 → 3+9 = 12 → 3, 7 → 7, 273 → 2+7+3 = 12 → 3
- Prime factorization: 39 = 3×13, 7 = 7, 273 = 3×7×13
Why the structure matters
This puzzle's shape is AB*C=DEF — a mixed-length 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-length multiplication, most of the search space is gone before you have spent a single guess.
The result, 273, factors as 3×7×13 — those factors are exactly the operations that could have produced it.
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