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Home » Now compute \( 6084 \mod 9 \). Use digit sum or direct division: - Get link 4share

Now compute \( 6084 \mod 9 \). Use digit sum or direct division: - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Thus, \( D \equiv 1, 4, \text{ or } 7 \pmod{9} \)
We exclude \( D \equiv 1 \pmod{9} \), so keep \( D \equiv 4 \) or \( 7...
Find the smallest three-digit number congruent to 4 or 7 modulo 9.
Smallest three-digit number: 100
\( 100 \div 9 = 11 \times 9 = 99 \), remainder 1 → \( 100 \equiv 1 \pm...
\( 101 \equiv 2 \)
\( 102 \equiv 3 \)
\( 103 \equiv 4 \) → valid
So \( D = 103 \)
Check: \( 103 \equiv 4 \pmod{9} \), and \( 4^3 = 64 \equiv 1 \pmod{9}...

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