Nerdle #772 Answer
Friday, March 1, 2024
250/5=50
- Structure
- ABC/D=EF
- Type
- Mixed-Length Division
- Result
- 50
How the clues would have read
- Today's equation begins with a two-digit number in the 250s.
- This puzzle uses division only.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 250 is divisible by 2, 5, 10, 25, 50, and 125, 5 is prime, and 50 is divisible by 2, 5, 10, and 25
- Digital roots: 250 → 2+5+0 = 7, 5 → 5, 50 → 5+0 = 5
- Prime factorization: 250 = 2×5³, 5 = 5, 50 = 2×5²
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, 50, factors as 2×5² — those factors are exactly the operations that could have produced it.
Nerdle is made by Nerdle Limited. nerdle.vip is an independent fan site and is not affiliated with or endorsed by them. Puzzle numbers and answers on this page refer to the official game at nerdlegame.com.