A teacher divides 360 students into lab groups such that each group has the same number of students and each group size is a prime number greater than 5. What is the maximum number of students per group?

Mon, 04 May 2026 22:26:25 +0000

**How 360 Students Can Be Grouped Into Prime-Sized Lab Teams—And What It Reveals About Problem-Solving Methods** Curiosity spikes when breaks in group consistency spark questions: What happens when a classroom of 360 students is divided into lab groups with prime-sized teams, all larger than 5? This scenario isn’t just a classroom math puzzle—it reflects a growing interest in efficient resource allocation, group dynamics, and structured collaboration. Educators increasingly seek ways to balance scalability, fairness, and learning effectiveness, especially as schools adapt to hybrid models and personalized instruction. The prime number condition introduces complexity, amplifying interest in practical number theory applications. This query reveals a deeper conversation around systematic planning in educational environments. Why A Teacher Divides 360 Students Into Prime-Sized Lab Groups—Is This Trending? In US schools navigating hybrid schedules, shared learning spaces, and small-group instruction, grouping strategies matter more than ever. The question stirs attention because it combines everyday classroom logistics with a mathematical challenge that resonates across teachers, instructional coaches, and curriculum planners. Though simple in concept, the constraint of prime group sizes over 5—specifically within the factors of 360—highlights real-world problem-solving that balances equity, scalability, and educational theory. Trend data shows rising engagement in peer collaboration models, where group formatting directly affects performance and engagement. The search intent signals users actively seeking clarity on feasible group configurations that meet both logistical and pedagogical standards. **Breaking It Down: What Does Prime Mean Here?** Dividing 360 into equal-sized labs requires identifying divisors that are prime numbers greater than 5. Prime numbers include 2, 3, 5, 7, 11, 13... The task limits solutions to those >5, so viable candidates are 7, 11, 13 (since 13 > 360/6 ≈ 60, but 13×27=351, not