Give an example of a field where -1=1

Question

The question is to find a counterexample to the following:

In every field the element $-1$ is not equal to $1$.

My intuition leads me to integers modulo $1$.

Is this correct, are the integers modulo $1$ a field?

Answer 1

$\mathbb{Z}/2 \mathbb{Z}$ and every field of characteristic 2.