Nerdle #1647 Answer
Friday, July 24, 2026
608/76=8
- Structure
- ABC/DE=F
- Type
- Mixed-Length Division
- Result
- 8
How the clues would have read
- Today's equation begins with a two-digit number in the 600s.
- This puzzle uses division only.
- The result is a single-digit even number.
The numbers behind it
- Divisibility: 608 is divisible by 2, 4, 8, 16, 19, 32, 38, 76, 152, and 304, 76 is divisible by 2, 4, 19, and 38, and 8 is divisible by 2 and 4
- Digital roots: 608 → 6+0+8 = 14 → 5, 76 → 7+6 = 13 → 4, 8 → 8
- Prime factorization: 608 = 2⁵×19, 76 = 2²×19, 8 = 2³
Why the structure matters
This puzzle's shape is ABC/DE=F — 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, 8, factors as 2³ — those factors are exactly the operations that could have produced it.
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