Number theory Week 2 Challenge question 10
Week 2 Challenge question 10
Suppose that the prime factors of an odd number only occur once in its prime factorization, so that n=p1xp2xp3xp4x...
for prime integers p1,p2,p3,...
What must be true about the average of all the positive integer factors of n?
Correct answer is : The average of the positive integer factors of n will be a whole number.
Couldn't understand the explanation provided. Could you explain for explicit?
For example n=5x7x11, the average sum should be (5+7+11)/3 isn't an integer?
@versatilewhale Thank you for writing! Since this is an exam question, I'll answer over email if that's okay. We don't want to "spill the beans."
@debbie Please do.
@versatilewhale Hi there, I just wrote to you over email. I just realized that I can private-message you on the forum as well. So I'll go and do that right now!
@debbie I just private-messaged you my reply! You can click on the speech-bubble icon in the top right next to your profile pic to view your messages.
@debbie Thx for explanation. I didn't get the question earlier, forgot it mentioned in Day 5.