25. How many positive integersns 20000 have the properties that 2n has 64 positive divisors including 1 and 2n, and 5n has 60 positive divisors including 1 and 5n? (A) 4 (B) 5 (C) 3 (D) 2 (E) 6

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.1: Polynomials Over A Ring
Problem 13E
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25. How many positive integersn< 20000 have the properties that 2n has 64 positive
divisors including 1 and 2n, and 5n has 60 positive divisors including 1 and 5n?
(A) 4
(B) 5
(C) 3
(D) 2
(E) 6
Transcribed Image Text:25. How many positive integersn< 20000 have the properties that 2n has 64 positive divisors including 1 and 2n, and 5n has 60 positive divisors including 1 and 5n? (A) 4 (B) 5 (C) 3 (D) 2 (E) 6
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