Nerdle #1472 Answer
Friday, January 30, 2026
336/7=48
- Structure
- ABC/D=EF
- Type
- Mixed-Length Division
- Result
- 48
How the clues would have read
- Today's equation begins with a two-digit number in the 330s.
- This puzzle uses division only.
- The result is a 2-digit even number.
The numbers behind it
- Divisibility: 336 is divisible by 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, and 168, 7 is prime, and 48 is divisible by 2, 3, 4, 6, 8, 12, 16, and 24
- Digital roots: 336 → 3+3+6 = 12 → 3, 7 → 7, 48 → 4+8 = 12 → 3
- Prime factorization: 336 = 2⁴×3×7, 7 = 7, 48 = 2⁴×3
Why the structure matters
This puzzle's shape is ABC/D=EF — a mixed-length 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-length division, most of the search space is gone before you have spent a single guess.
The result, 48, factors as 2⁴×3 — those factors are exactly the operations that could have produced it.
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