2+3 vs 5 (1920 vs 2000) – smaller vs larger primes in screen resolution in user interface development

For a long time I wondered why screen resolutions are non-round, i.e. 1920x1080, not 2000x1000. Most displays are more like 1920x1080, only few newer ones have 3000x2000 (now aspect is another issue, say newer Thinkpad laptops have e.g. 3840x2400).

Now
2400 = 2 ^ 5 x 3 x 5 ^ 2 (5 of 2s, 3 and 2 of 5s)
2000 = 2 ^ 4 x 5 ^ 3 (4 of 2s and 3 of 5s)

The question came from me trying to think about different scaling of user interfaces, how one would make crisp lines at different resolutions.

Does it matter for scaling etc. if resolution has 3 in one of its primes? Many 2s?
I was not able to find about such thing via web search but maybe I have not used correct terminology.