Number theory · Digit sums · Digits of an integer · Extremal argument · Powers
The digits of a five-digit number add up to \(44\). What is the product of the digits of that number?
- A \(2^{3} \cdot 3^{8}\)
- B \(2^{3} \cdot 9^{3}\)
- C \(8 \cdot 4^{9}\)
- D \(8 \cdot 3^{4}\)
- E None of the above.
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2021, 1. letnik, category A, problem A2. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source