nerdle

Nerdle #1295 Answer

Wednesday, August 6, 2025

8*3/24=1
Structure
A*B/CD=E
Type
Mixed Multiplication and Division
Result
1

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 single-digit odd number.

The numbers behind it

  • Divisibility: 8 is divisible by 2 and 4, 3 is prime, 24 is divisible by 2, 3, 4, 6, 8, and 12, and 1 is prime
  • Digital roots: 8 → 8, 3 → 3, 24 → 2+4 = 6, 1 → 1
  • Prime factorization: 8 = 2³, 3 = 3, 24 = 2³×3, 1 has no prime factors

Why the structure matters

This puzzle's shape is A*B/CD=E — a mixed multiplication and 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 multiplication and division, most of the search space is gone before you have spent a single guess.

The result, 1, factors as 1 — those factors are exactly the operations that could have produced it.

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