Nerdle #1462 Answer
Tuesday, January 20, 2026
609/87=7
- Structure
- ABC/DE=F
- Type
- Mixed-Length Division
- Result
- 7
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 odd number.
The numbers behind it
- Divisibility: 609 is divisible by 3, 7, 21, 29, 87, and 203, 87 is divisible by 3 and 29, and 7 is prime
- Digital roots: 609 → 6+0+9 = 15 → 6, 87 → 8+7 = 15 → 6, 7 → 7
- Prime factorization: 609 = 3×7×29, 87 = 3×29, 7 = 7
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, 7, 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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