I don't think that's accurate, with one special exception: When the Republic of Texas was admitted as a state, it was given the right to subdivide into up to 5

I don't think that's accurate, with one special exception: When the Republic of Texas was admitted as a state, it was given the right to subdivide into up to 5 total states, should it choose to. Otherwise, it's up to Congress to decide whether or not to accept new states to the Union.