The expression to factor is:
[tex]z^2-16^2[/tex]This matches with the general expression of:
[tex]a^2-b^2[/tex]Which can be factored as:
[tex]a^2-b^2=(a+b)(a-b)[/tex]Now, we can factor our expression as:
[tex]z^2-16^2=(z-16)(z+16)[/tex]These 2 factors multiplied together, gives us the expression.
So, one of the factors would be:
[tex](z-16)[/tex]