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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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