Melody

Human moderators have not blocked these images, nor can we see them or unblock them.

They have been blocked automatically.  Maybe they are copyrighted?

I do thank you.  I will still have to think about it but I think your newest explanation will help a lot.

And I am glad that you are enjoying yourself.   

It is great to have people, like yourself, properly interacting here.

For others: 

You do not need advanced maths to interact properly here. 

A number of younger people, or less mathematically advanced people, are greatly valued members of this forum   

Thanks very much Bginner.

You have given me homework.

Fair enough, I will take a look a little later :)

oh, you should give yourself a point when you answer questions.  That is what I think anyway :)

No, this is a calculus question.  

I understand now why you appeared to ignore my initial answer.  You had no idea what I was talking about.    

There is 1 plus 3 prime factors of 110

1,2,5,11

so how many factors are there altogether     3C0+3C1+3C2+3C3 = 1+3+3+1 = 8

So how many factors are there for a number like  220?  where 2^2 is a factor ...

There must be a way to work this out easily.    I will think about it.

What I am getting at is that if we know that 110 has 8 divisors and we know 110n^3 has 110 divisors then we should be able to work out how many divisors n^3 has and how many of them are common with the 110 divisors.  

All the little triangles are the same size

so

Just count how many are coloured-in and then put that number over the total number of little triangles

Give your answer and I (or someone else here) will tell you if it is right.  

ok thanks Heureka,

 I think there should be a better way of doing it where n does not even have to be determined.

Or where it can be determined without trial and error....

Thanks Bginner,

I have worked 3/4 through your working but at that point my mind was boggling a bit.

Each step is fine, I am just having trouble seeing the big picture.

I am not asking you to explain more. I will just have to think about it myself.   

Thanks for your efforts  

Thanks Heureka,

Where did you get 40 from?

It is multiply, not add, catmg .....

I'd go for 12+15 = 27