How do you factorise 3x + 33?

Well both of those numbers are divisible by 3. if you divide 3x by 3 you gst x and 33 by 3 you get 11

So 3x + 33 divided by 3 is x + 11. But we can't just throw the three away it has to go somewhere. so we do this:

3 (x + 11)

notice if you distribute the 3 you get 3x + 11

si that is how you factor

Factor out the number 3 (3 (x+11))