linear algebra - Eigenvalues without any calculations

Question is from Intro to Linear Algebra (5th Ed) by Gilbert Strang, Chapter 6-39.

Without writing down any calculations, can you find the eigenvalues of this matrix? Also find $A^{2017}$.

$$A = \begin{Bmatrix} 110 & 55 & -164\\ 42 & 21 & -62\\ 88 & 44 & -131 \end{Bmatrix}$$

Obviously one of the eigenvalues is $0$. Not sure how to find the rest without calculation.