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Algebra

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Prime Factorization and Divisors

ALGEBR-YT8GKF

A certain integer has exactly 40 distinct positive divisors.

Which one of the following could be the prime factorization of that number?

A

$2^{3}\cdot5$

B

$2^{3}\cdot3^{4}\cdot5$

C

$3^{8}\cdot7^{5}$

D

$5^{2}\cdot11^{4}\cdot13^{5}$