Primary decomposition for an ideal

Question

I can find primary decomposition of ideal generated by two elements . For example ideal $\langle xy, y^2\rangle=\langle x, y^2\rangle \cap \langle y\rangle $ But I face problem when I tried to find primary decomposition of the ideal $\langle x^3, x^2y, yz, xz^2\rangle $ in $K[x, y, z]$ . Can someone help me how can I find primary decomposition of ideal which is generated by 4 elements?

Thanks.