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MathNet 2026 — Part 06 Question 76

Math Olympiad Vault · MathNet 2026 — Part 06

Question 76

The equation $AB \times CD = EFGH$, where each of the letters $A$, $B$, $C$, $D$, $E$, $F$, $G$, $H$ represents a different digit and the values of $A$, $C$ and $E$ are all non-zero, has many solutions, e.g., $46 \times 85 = 3910$. Find the smallest value of the four-digit number $EFGH$ for which there is a solution.