Nerdle #1190 Answer
Wednesday, April 23, 2025
84*5=420
- Structure
- AB*C=DEF
- Type
- Mixed-Length Multiplication
- Result
- 420
How the clues would have read
- Today's equation begins with a two-digit number in the 80s.
- This puzzle uses multiplication only.
- The result is a 3-digit even number.
The numbers behind it
- Divisibility: 84 is divisible by 2, 3, 4, 6, 7, 12, 14, 21, 28, and 42, 5 is prime, and 420 is divisible by 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, and 210
- Digital roots: 84 → 8+4 = 12 → 3, 5 → 5, 420 → 4+2+0 = 6
- Prime factorization: 84 = 2²×3×7, 5 = 5, 420 = 2²×3×5×7
Why the structure matters
This puzzle's shape is AB*C=DEF — a mixed-length 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-length multiplication, most of the search space is gone before you have spent a single guess.
The result, 420, factors as 2²×3×5×7 — those factors are exactly the operations that could have produced it.
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