Increasing carbon #s increases MP and BP. Thats easy.
Branching effect on BP: Branching reduces the surface area, so there are less london forces, which lowers the BP.
Branching effect on MP: unbranched is has the highest MP because the molecules can stack and be stable. But as soon as you have branching, the MP lowers a lot. The amount the MP lowers depends on the amount/type of branching:
hexane mp=-95 bp=69
2-methylpentane mp=-154 bp=60
2,4-dimethylbutane mp=-135 bp=58
2,2-dimethylbutane mp=-98 bp=50
2,2-dimethylbutane is more compact and can create a crystal lattice easier than 2-methylpentane, so its MP is closer to the hexane value, but still not quite as high.