Problem
NT-B1-M09-P011 Smallest with \(10\) Divisors
#11
★★☆☆☆ Level 2 of 5
Find the smallest positive integer with exactly \(10\) positive divisors.
Possibilities: \(10\) or \(5\cdot2\).
Candidates: \(2^9=512\) and \(2^4\cdot3=48\). The smallest number is \(48\).
A single large exponent is usually not minimal.