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how do you pronounce p e c a n - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question: What is the smallest prime factor of $ 1211 $?

📌 Solution: To find the smallest prime factor of 1211, we test divisibility by small primes. First, 1211 is odd, so not divisible by 2. The sum of the digits is $ 1 + 2 + 1 + 1 = 5 $, not divisible by 3. It doesn't end in 0 or 5, so not divisible by 5. Next, test divisibility by 7:

📌 \div 7 \approx 173 \quad \text{(not an integer)}

📌 Test divisibility by 11:

📌 Try dividing directly:

📌 \div 1211 = 1 \quad \text{and 1211 is prime?}

📌 Check divisibility by primes up to $ \sqrt{1211} \approx 34.8 $. Continue testing:

📌 Not divisible by 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, or 31.

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