Nerdle #1058 Answer
Thursday, December 12, 2024
4/1*5=20
- Structure
- A/B*C=DE
- Type
- Mixed Division and Multiplication
- Result
- 20
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses division and multiplication operations.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 4 is divisible by 2, 1 is prime, 5 is prime, and 20 is divisible by 2, 4, 5, and 10
- Digital roots: 4 → 4, 1 → 1, 5 → 5, 20 → 2+0 = 2
- Prime factorization: 4 = 2², 1 has no prime factors, 5 = 5, 20 = 2²×5
Why the structure matters
This puzzle's shape is A/B*C=DE — a mixed division 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 division and multiplication, most of the search space is gone before you have spent a single guess.
The result, 20, factors as 2²×5 — those factors are exactly the operations that could have produced it.
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