nerdle

Nerdle #1336 Answer

Tuesday, September 16, 2025

50*6=300
Structure
AB*C=DEF
Type
Mixed-Length Multiplication
Result
300

How the clues would have read

  • Today's equation begins with a two-digit number in the 50s.
  • This puzzle uses multiplication only.
  • The result is a 3-digit even number.

The numbers behind it

  • Divisibility: 50 is divisible by 2, 5, 10, and 25, 6 is divisible by 2 and 3, and 300 is divisible by 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, and 150
  • Digital roots: 50 → 5+0 = 5, 6 → 6, 300 → 3+0+0 = 3
  • Prime factorization: 50 = 2×5², 6 = 2×3, 300 = 2²×3×5²

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, 300, factors as 2²×3×5² — those factors are exactly the operations that could have produced it.

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