Nerdle #1083 Answer
Monday, January 6, 2025
9*8/36=2
- Structure
- A*B/CD=E
- Type
- Mixed Multiplication and Division
- Result
- 2
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses division and multiplication operations.
- The result is a single-digit even number.
The numbers behind it
- Divisibility: 9 is divisible by 3, 8 is divisible by 2 and 4, 36 is divisible by 2, 3, 4, 6, 9, 12, and 18, and 2 is prime
- Digital roots: 9 → 9, 8 → 8, 36 → 3+6 = 9, 2 → 2
- Prime factorization: 9 = 3², 8 = 2³, 36 = 2²×3², 2 = 2
Why the structure matters
This puzzle's shape is A*B/CD=E — a mixed multiplication and division, 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 multiplication and division, most of the search space is gone before you have spent a single guess.
The result, 2, is prime — so it cannot be reached by multiplying two smaller whole numbers, which rules out a whole family of candidate equations immediately.
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