Question: A patent attorney is reviewing a dataset of 3-digit patent codes. If each code is a multiple of both 6 and 8, how many such valid codes exist?

Sat, 02 May 2026 01:07:35 +0000

**A patent attorney is reviewing a dataset of 3-digit patent codes. If each code is a multiple of both 6 and 8, how many such valid codes exist?** In the world of innovation, precise data categorization drives efficiency—especially when handling structured identifiers like patent codes. For professionals managing digital records, understanding how many 3-digit numbers meet specific mathematical criteria becomes essential. When a patent attorney evaluates a dataset of three-digit codes requiring divisibility by both 6 and 8, the question naturally arises: how many such valid codes exist? This isn’t just a technical query—it reflects growing attention to data governance and compliance in rapidly evolving industries. **Why This Question Is Gaining Attention in the US**
Recent efforts to standardize and audit intellectual property datasets have highlighted the importance of filtering numerical identifiers through rigorous mathematical filters. With increased focus on patent integrity, transparency, and data accuracy, tracking how numbers—such as patent identifiers—align with key divisibility rules reflects broader trends in compliance and operational rigor. Patent attorneys and legal teams across the United States now routinely analyze structured data for consistency, precision, and regulatory alignment, making queries about multiple divisibility a practical and relevant problem. **How Many 3-Digit Codes Are Multiples of Both 6 and 8?**
To determine valid codes, start by analyzing the least common multiple (LCM) of 6 and 8. Since 6 = 2 × 3 and 8 = 2³, the LCM is 2³ × 3 = 24. A number divisible by both 6 and 8 must therefore be divisible by 24.