Maximal and minimal elements in divisibility order on {2,3,4,5,8,9,15,27,45}

[PeterWatson]

I'm stumbling on this basic question!

Let X = {2,3,4,5,8,9,15,27,45}.
Define a partial order | on X such that x|y <--> x divides y.

(a) Find the maximal and minimal elements
(b) Is there a greatest element, if so what is it?
(c) Is there a least element, if so what is it?
(d) Draw the Hasse diagram

Please help!

 

[tiny-tim]

Welcome to PF!

Hi Peter! Welcome to PF!

Show us what you've tried, and where you're stuck, and then we'll know how to help!