SUMMARY
The smallest number with 28 positive divisors is determined by analyzing its prime factorization. The divisor count formula indicates that 28 can be expressed as 14*2 or 7*4. This leads to two potential forms: 2^13*3 or 2^6*3^3. The latter, 2^6*3^3, yields a smaller result than the former, confirming it as the correct solution.
PREREQUISITES
- Understanding of prime factorization
- Familiarity with divisor count formulas
- Basic knowledge of exponentiation
- Ability to compare numerical values
NEXT STEPS
- Study the divisor function in number theory
- Explore prime factorization techniques
- Learn about the properties of exponents
- Investigate other numbers with specific divisor counts
USEFUL FOR
Mathematics students, educators, and enthusiasts interested in number theory and divisor functions.