Nerdle #1442 Answer
Wednesday, December 31, 2025
3*72=216
- Structure
- A*BC=DEF
- Type
- Mixed-Length Multiplication
- Result
- 216
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses multiplication only.
- The result is a 3-digit even number.
The numbers behind it
- Divisibility: 3 is prime, 72 is divisible by 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36, and 216 is divisible by 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, and 108
- Digital roots: 3 → 3, 72 → 7+2 = 9, 216 → 2+1+6 = 9
- Prime factorization: 3 = 3, 72 = 2³×3², 216 = 2³×3³
Why the structure matters
This puzzle's shape is A*BC=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, 216, factors as 2³×3³ — those factors are exactly the operations that could have produced it.
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