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Home » \( 3^2 \equiv 9 \) - Coaching Toolbox

\( 3^2 \equiv 9 \) - Coaching Toolbox

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 But perhaps the problem meant: smallest three-digit number divisible by **7**, **by 11**, and **by 13**âsame thing.

📌 Unless the school year is 1001 days? Unlikely.

📌 But to resolve: perhaps the intended number is **the** least such, which is 1001, but since itâs four-digit, the problem may have a typo.

📌 But in olympiad style, perhaps we find the smallest three-digit number divisible by **at least one**, but thatâs not âandâ.

📌 Alternatively, suppose the problem meant: divisible by **the sum** or **difference**âbut not stated.

📌 Given the constraints, and the only multiple of 7,11,13 in a range is 1001, and itâs four digits, **no** such three-digit number exists.

📌 But this cannot be the intended answer.

📌 Waitâperhaps âdivisible by 7, 11, and 13â means the number is divisible by **each**, but we can scale down? No.

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