Nerdle #248 Answer
Saturday, September 24, 2022
98*2=196
- Structure
- AB*C=DEF
- Type
- Mixed-Length Multiplication
- Result
- 196
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: 98 is divisible by 2, 7, 14, and 49, 2 is prime, and 196 is divisible by 2, 4, 7, 14, 28, 49, and 98
- Digital roots: 98 → 9+8 = 17 → 8, 2 → 2, 196 → 1+9+6 = 16 → 7
- Prime factorization: 98 = 2×7², 2 = 2, 196 = 2²×7²
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, 196, factors as 2²×7² — those factors are exactly the operations that could have produced it.
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