Nerdle #1645 Answer
Wednesday, July 22, 2026
4+10/5=6
- Structure
- A+BC/D=E
- Type
- Mixed Addition and Division
- Result
- 6
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses addition and division operations.
- The result is a single-digit even number.
The numbers behind it
- Divisibility: 4 is divisible by 2, 10 is divisible by 2 and 5, 5 is prime, and 6 is divisible by 2 and 3
- Digital roots: 4 → 4, 10 → 1+0 = 1, 5 → 5, 6 → 6
- Prime factorization: 4 = 2², 10 = 2×5, 5 = 5, 6 = 2×3
Why the structure matters
This puzzle's shape is A+BC/D=E — a mixed addition 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 addition and division, most of the search space is gone before you have spent a single guess.
The result, 6, factors as 2×3 — those factors are exactly the operations that could have produced it.
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