Nerdle #1320 Answer
Sunday, August 31, 2025
472/8=59
- Structure
- ABC/D=EF
- Type
- Mixed-Length Division
- Result
- 59
How the clues would have read
- Today's equation begins with a two-digit number in the 470s.
- This puzzle uses division only.
- The result is a 2-digit odd number.
The numbers behind it
- Divisibility: 472 is divisible by 2, 4, 8, 59, 118, and 236, 8 is divisible by 2 and 4, and 59 is prime
- Digital roots: 472 → 4+7+2 = 13 → 4, 8 → 8, 59 → 5+9 = 14 → 5
- Prime factorization: 472 = 2³×59, 8 = 2³, 59 = 59
Why the structure matters
This puzzle's shape is ABC/D=EF — a mixed-length 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-length division, most of the search space is gone before you have spent a single guess.
The result, 59, 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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