(c) If p is a prime, then p¹3 will always have exactly fourteen positive divi- sors, namely: {1,p, p², p³,p4, p5, p6, p²,ps,pº, p¹0, p¹¹, p¹2, p¹³}. 10 11 12 Give an example of a number that is not a perfect thirteenth power of a prime but still has exactly fourteen positive divisors.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
13
(c) If p is a prime, then pl3 will always have exactly fourteen positive divi-
sors, namely:
{1,p.p², p³, p², p5, po, p²,ps,pº, p¹0, pl¹, p¹2, p¹³}.
12
,plo
Give an example of a number that is not a perfect thirteenth power of a prime
but still has exactly fourteen positive divisors.
6
Transcribed Image Text:13 (c) If p is a prime, then pl3 will always have exactly fourteen positive divi- sors, namely: {1,p.p², p³, p², p5, po, p²,ps,pº, p¹0, pl¹, p¹2, p¹³}. 12 ,plo Give an example of a number that is not a perfect thirteenth power of a prime but still has exactly fourteen positive divisors. 6
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,