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Home » 2002 year of the chinese zodiac - Parker Core Knowledge

2002 year of the chinese zodiac - Parker Core Knowledge

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 + 144 = 1224, \quad 1224 + 18 = 1242, \quad 1242 + 2 = 1244

📌 So, the base-ten equivalent is:

📌 oxed{1244}

📌 Question:** Find the smallest positive integer \(n\) such that \(n^3\) ends in the digits \(888\).

📌 We seek the smallest \(n > 0\) such that:

📌 n^3 \equiv 888 \pmod{1000}

📌 This means \(n^3 \equiv 888 \pmod{8}\) and \(n^3 \equiv 888 \pmod{125}\), since \(1000 = 8 imes 125\) and \(\gcd(8,125)=1\).

📌 Step 1: Solve modulo 8

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