(e) at least one of (14) How many distinct positive divisors does a number N have in each case? (a) N = p², where p is a prime. (b) N=p, where p is a prime and e EN. (c) N = pq, where p and q are distinct primes. n and are distinct primes and k, lEN.
(e) at least one of (14) How many distinct positive divisors does a number N have in each case? (a) N = p², where p is a prime. (b) N=p, where p is a prime and e EN. (c) N = pq, where p and q are distinct primes. n and are distinct primes and k, lEN.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(e) at least one of
(14) How many distinct positive divisors does a number N have in each case?
(a) N = p. where p is a prime.
(b) N=p, where p is a prime and e EN.
(c) N = pq, where p and q are distinct primes.
(d) N = p q', where p and q are distinct primes and k, 1 EN.
(e) N = P₁ pp, where all p, are distinct primes and all e, are positive inte
gers.
(1) Use the above results to find the number of positive divisors of the integer
1,188.
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