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Home » Next, find the largest 3-digit number divisible by 7. - DNSFLEX

Next, find the largest 3-digit number divisible by 7. - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Solution: To find the smallest prime factor of 77, we test divisibility by the smallest prime numbers:

📌 77 is odd, so it is not divisible by 2.

📌 Sum of digits of 77 is \( 7 + 7 = 14 \), which is not divisible by 3, so 77 is not divisible by 3.

📌 The last digit is not 0 or 5, so 77 is not divisible by 5.

📌 Check divisibility by 7: \( 77 \div 7 = 11 \), which is an integer.

📌 Thus, 77 is divisible by 7, and since 7 is a prime number, it is the smallest prime factor of 77.

📌 Therefore, the smallest prime factor is \(\boxed{7}\).

📌 Question: The average of \( 2v + 4 \), \( 5v + 1 \), and \( 3v + 7 \) is 24. What is the value of \( v \)?

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