[scatters]

"military might" is a noun phrase (adjective + noun), "factor in" is a verb phrase (verb + preposition). Hopefully this helps your parse.

[jobigoud]

Not a native speaker but shouln't it be "how might the military factor in"?

[netsharc]

Here "might" is a noun meaning "strength", not the verb https://en.wiktionary.org/wiki/might

It can even be replaced 1:1 with strength, so "How does military strength factor in?"