If you want to increase the Page Rank of your website then their are several factors that should be in mind. Google also see the backlinks of your website if they are from the high PR website and also relevant to your website then this would be a plus point for your website pagerank. Also your website is much more familer to social media. This is also a another factor for the Page rank.
So their are several factors that play role in Page rank of the website.
If you would like to improve the page positioning of your website then there are definitely working ways and there are several aspects that should be in kept mind. Search engines also see the back-links of your website if they are from the high PR website and also appropriate to your website then this would be a plus point for your website page rank.
Page Rank is dead now. Domain Authority is the thing to look for. Higher domain authority means high trust, high trust means your site likely to show up in top 10 Serps against related keywords. High domain authority comes from placing links on high domain authority sites.