Nerdle #1470 Answer
Wednesday, January 28, 2026
36/4−6=3
- Structure
- AB/C-D=E
- Type
- Mixed Division and Subtraction
- Result
- 3
How the clues would have read
- Today's equation begins with a two-digit number in the 30s.
- This puzzle uses division and subtraction operations.
- The result is a single-digit odd number.
The numbers behind it
- Divisibility: 36 is divisible by 2, 3, 4, 6, 9, 12, and 18, 4 is divisible by 2, 6 is divisible by 2 and 3, and 3 is prime
- Digital roots: 36 → 3+6 = 9, 4 → 4, 6 → 6, 3 → 3
- Prime factorization: 36 = 2²×3², 4 = 2², 6 = 2×3, 3 = 3
Why the structure matters
This puzzle's shape is AB/C-D=E — a mixed division 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 division and subtraction, most of the search space is gone before you have spent a single guess.
The result, 3, is prime — so it cannot be reached by multiplying two smaller whole numbers, which rules out a whole family of candidate equations immediately.
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