What is the last digit of 3^2013

Question

This number is very very big, but if you have a way to find the last digit, that's all i need. PLEASE HELP

Answer 1

3^2013...

last fyu digits=033,714,323

Answer 2

3^2013 = 3^1000 x 3^1000 x 3^13

            =(3^10)^100 x (3^10)^100 x 3^13

           =(....049)^100 x (.....049)^100 x (........323)

           =(.....049)^200 x (.....323)

           =(.....401)^100 x (.....323)

          =(.....801)^50 x (......323)

         =(.....601)^25 x (.....323)

        =(....601) x (.....323) x (....601)^24

        =(.....123) x (.....801)^8

        =(.....123) x (......601)^4

        =(......123) x (......201)^2

       =(.....123) x (.......401)

       =(............323)