How l can draw Hasse diagram

Question

How can l draw a Hasse diagram of the divisibility relation, when $$B=\{2,4,5,6,7,10,18,20,24,25\}$$

Would any help, thank you.

Answer 1

$2,5$ and $7$ are not divisible by any other numbers in the set, so they are on the lowest level. $4,6$ and $10$ have other numbers ($18,20$ and $24$) that are multiples of them, so they are intermediate, while $18,20$ and $24$ are highest. That leaves $25$, which is above $5$, but not below anything else; it's easiest to draw it on the middle level. After rearranging things on each level to avoid crossing lines, it comes out like this:

$$ \begin{array}{ccccccc} 18&&24&&20\\ \huge|&\huge\diagup&\huge|&\huge\diagup&\huge|\\ 6&&4&&10&&25\\ &\huge\diagdown&\huge|&\huge\diagup&\huge|&\huge\diagup\\ 7&&2&&5 \end{array} $$