Nerdle #187 Answer
Monday, July 25, 2022
92*7=644
- Structure
- AB*C=DEF
- Type
- Mixed-Length Multiplication
- Result
- 644
How the clues would have read
- Today's equation begins with a two-digit number in the 90s.
- This puzzle uses multiplication only.
- The result is a 3-digit even number.
The numbers behind it
- Divisibility: 92 is divisible by 2, 4, 23, and 46, 7 is prime, and 644 is divisible by 2, 4, 7, 14, 23, 28, 46, 92, 161, and 322
- Digital roots: 92 → 9+2 = 11 → 2, 7 → 7, 644 → 6+4+4 = 14 → 5
- Prime factorization: 92 = 2²×23, 7 = 7, 644 = 2²×7×23
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, 644, factors as 2²×7×23 — those factors are exactly the operations that could have produced it.
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