Nerdle #648 Answer
Sunday, October 29, 2023
6+6*5=36
- Structure
- A+B*C=DE
- Type
- Mixed Addition and Multiplication
- Result
- 36
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses addition and multiplication operations.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 6 is divisible by 2 and 3, 6 is divisible by 2 and 3, 5 is prime, and 36 is divisible by 2, 3, 4, 6, 9, 12, and 18
- Digital roots: 6 → 6, 6 → 6, 5 → 5, 36 → 3+6 = 9
- Prime factorization: 6 = 2×3, 6 = 2×3, 5 = 5, 36 = 2²×3²
Why the structure matters
This puzzle's shape is A+B*C=DE — a mixed addition and multiplication, 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 multiplication, most of the search space is gone before you have spent a single guess.
The result, 36, factors as 2²×3² — those factors are exactly the operations that could have produced it.
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