Nerdle #1108 Answer
Friday, January 31, 2025
100/5=20
- Structure
- ABC/D=EF
- Type
- Mixed-Length Division
- Result
- 20
How the clues would have read
- Today's equation begins with a two-digit number in the 100s.
- This puzzle uses division only.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 100 is divisible by 2, 4, 5, 10, 20, 25, and 50, 5 is prime, and 20 is divisible by 2, 4, 5, and 10
- Digital roots: 100 → 1+0+0 = 1, 5 → 5, 20 → 2+0 = 2
- Prime factorization: 100 = 2²×5², 5 = 5, 20 = 2²×5
Why the structure matters
This puzzle's shape is ABC/D=EF — a mixed-length division, 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 division, 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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