Problem
NT-B1-M09-P010 Smallest with \(8\) Divisors
#10
★★☆☆☆ Level 2 of 5
Find the smallest positive integer with exactly \(8\) positive divisors.
Factorisations of \(8\): \(8\), \(4\cdot2\), \(2\cdot2\cdot2\).
Candidates: \(2^7=128\), \(2^3\cdot3=24\), \(2\cdot3\cdot5=30\). The smallest is \(24\). Answer: \(24\).
Shows the exponent-pattern method.