nerdle

Nerdle #1650 Answer

Monday, July 27, 2026

4*93=372
Structure
A*BC=DEF
Type
Mixed-Length Multiplication
Result
372

How the clues would have read

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

The numbers behind it

  • Divisibility: 4 is divisible by 2, 93 is divisible by 3 and 31, and 372 is divisible by 2, 3, 4, 6, 12, 31, 62, 93, 124, and 186
  • Digital roots: 4 → 4, 93 → 9+3 = 12 → 3, 372 → 3+7+2 = 12 → 3
  • Prime factorization: 4 = 2², 93 = 3×31, 372 = 2²×3×31

Why the structure matters

This puzzle's shape is A*BC=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, 372, factors as 2²×3×31 — those factors are exactly the operations that could have produced it.

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