Nerdle #44 Answer
Friday, March 4, 2022
42*7=294
- Structure
- AB*C=DEF
- Type
- Mixed-Length Multiplication
- Result
- 294
How the clues would have read
- Today's equation begins with a two-digit number in the 40s.
- This puzzle uses multiplication only.
- The result is a 3-digit even number.
The numbers behind it
- Divisibility: 42 is divisible by 2, 3, 6, 7, 14, and 21, 7 is prime, and 294 is divisible by 2, 3, 6, 7, 14, 21, 42, 49, 98, and 147
- Digital roots: 42 → 4+2 = 6, 7 → 7, 294 → 2+9+4 = 15 → 6
- Prime factorization: 42 = 2×3×7, 7 = 7, 294 = 2×3×7²
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, 294, factors as 2×3×7² — those factors are exactly the operations that could have produced it.
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