Nerdle #446 Answer
Monday, April 10, 2023
19−6*3=1
- Structure
- AB-C*D=E
- Type
- Mixed Subtraction and Multiplication
- Result
- 1
How the clues would have read
- Today's equation begins with a two-digit number in the 10s.
- This puzzle uses multiplication and subtraction operations.
- The result is a single-digit odd number.
The numbers behind it
- Divisibility: 19 is prime, 6 is divisible by 2 and 3, 3 is prime, and 1 is prime
- Digital roots: 19 → 1+9 = 10 → 1, 6 → 6, 3 → 3, 1 → 1
- Prime factorization: 19 = 19, 6 = 2×3, 3 = 3, 1 has no prime factors
Why the structure matters
This puzzle's shape is AB-C*D=E — a mixed subtraction 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 subtraction and multiplication, most of the search space is gone before you have spent a single guess.
The result, 1, factors as 1 — those factors are exactly the operations that could have produced it.
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