Nerdle #1206 Answer
Friday, May 9, 2025
72*1/9=8
- Structure
- AB*C/D=E
- Type
- Mixed Multiplication and Division
- Result
- 8
How the clues would have read
- Today's equation begins with a two-digit number in the 70s.
- This puzzle uses division and multiplication operations.
- The result is a single-digit even number.
The numbers behind it
- Divisibility: 72 is divisible by 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36, 1 is prime, 9 is divisible by 3, and 8 is divisible by 2 and 4
- Digital roots: 72 → 7+2 = 9, 1 → 1, 9 → 9, 8 → 8
- Prime factorization: 72 = 2³×3², 1 has no prime factors, 9 = 3², 8 = 2³
Why the structure matters
This puzzle's shape is AB*C/D=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, 8, factors as 2³ — those factors are exactly the operations that could have produced it.
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