x^2-11x+24 factor completely?

f(x) = x^2 -11x +24 =0. For factoring I'm looking for factors of 24 that add up
to 11. factor pairs are (1,24), (2,12), (3,8) STOP!!! f(x)=(x-3)(x-8). End of story.

(x-3)(x-8)