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valkas [14]
4 years ago
9

What is the smallest positive integer with exactly 14 positive divisors?

Mathematics
1 answer:
Pie4 years ago
3 0
A number with exactly 14 divisors can be of one of the two following forms... 
<span>p^6 * q </span>
<span>OR </span>
<span>p^13 </span>
<span>where p and q are prime. </span>
<span>From here it should be obvious that the smallest such number is 2^6 * 3 = 192</span>
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