SOLUTION: If n = (p1 )^α1 .(p2)^α2.(p3)^α3 .(p4)^α4 .....(pr)^αr where p1 , p2,
p3 , ...., pr are distinct prime numbers then prove the following result:
d(n) = infinite product of
Algebra.Com
Question 1172317: If n = (p1 )^α1 .(p2)^α2.(p3)^α3 .(p4)^α4 .....(pr)^αr where p1 , p2,
p3 , ...., pr are distinct prime numbers then prove the following result:
d(n) = infinite product of (αi + 1) [Note: Here ^ means power]
Answer by ikleyn(52784) (Show Source): You can put this solution on YOUR website!
.
The post is written incorrectly.
Had the post be written correctly, d(n) would be a finite product, and d(n) would be called (be referred)
as the number of divisors of the number n, including 1 and the number n itself.
See the lesson
- Problems on divisors of a given number
in this site.
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