Nerdle #276 Answer
Saturday, October 22, 2022
4*6−8=16
- Structure
- A*B-C=DE
- Type
- Mixed Multiplication and Subtraction
- Result
- 16
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses multiplication and subtraction operations.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 4 is divisible by 2, 6 is divisible by 2 and 3, 8 is divisible by 2 and 4, and 16 is divisible by 2, 4, and 8
- Digital roots: 4 → 4, 6 → 6, 8 → 8, 16 → 1+6 = 7
- Prime factorization: 4 = 2², 6 = 2×3, 8 = 2³, 16 = 2⁴
Why the structure matters
This puzzle's shape is A*B-C=DE — a mixed multiplication and subtraction, 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 multiplication and subtraction, most of the search space is gone before you have spent a single guess.
The result, 16, factors as 2⁴ — those factors are exactly the operations that could have produced it.
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