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Home » Hence, no two-digit number satisfies $ x \equiv -3 \pmod504 $. - Tacotoon

Hence, no two-digit number satisfies $ x \equiv -3 \pmod504 $. - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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\times 15 = 105
Next, find the largest 3-digit number divisible by 7.
Divide 999 by 7:
\div 7 \approx 142.7143
The largest integer less than or equal to 142.7143 is 142.
So, the largest 3-digit multiple of 7 is:
\times 142 = 994
Now, the sequence of 3-digit multiples of 7 is:
105, 112, 119, \dots, 994
This is an arithmetic sequence with first term \(a = 105\), common dif...

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