lokaghna10 lokaghna10
  • 07-10-2017
  • Mathematics
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What is the smallest positive integer with exactly 14 positive divisors?

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zrh2sfo zrh2sfo
  • 07-10-2017
A number with exactly 14 divisors can be of one of the two following forms... 
p^6 * q 
OR 
p^13 
where p and q are prime. 
From here it should be obvious that the smallest such number is 2^6 * 3 = 192
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