Computations in symmetric groups

Let Sn denote the symmetric group on n letters.

  1. Is the element (1234)(25346)(153247)S7 even or odd? Indicate your reasoning.
  2. Find the order of (134)(243)(134)S4. Show all work.
  3. Write (1523)(2134)(1523)1S5 in disjoint cycle form. Show all work.