Nerdle #890 Answer
Thursday, June 27, 2024
1*3*8=24
- Structure
- A*B*C=DE
- Type
- Single-Digit Multiplication
- Result
- 24
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses multiplication only.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 1 is prime, 3 is prime, 8 is divisible by 2 and 4, and 24 is divisible by 2, 3, 4, 6, 8, and 12
- Digital roots: 1 → 1, 3 → 3, 8 → 8, 24 → 2+4 = 6
- Prime factorization: 1 has no prime factors, 3 = 3, 8 = 2³, 24 = 2³×3
Why the structure matters
This puzzle's shape is A*B*C=DE — a single-digit 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 single-digit multiplication, most of the search space is gone before you have spent a single guess.
The result, 24, factors as 2³×3 — those factors are exactly the operations that could have produced it.
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