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  "body": "\n## Example\n\nLet $n \\ge 1$. Define $\\varphi : \\mathbb{Z} \\to \\mathbb{Z}/n\\mathbb{Z}$ by $\\varphi(u) = u \\bmod n$.\nThen $\\varphi(u + v) = \\varphi(u) + \\varphi(v)$, so $\\varphi$ is a group homomorphism.\nThe map is onto, and its [[kernel|0Z424HK8CQ]] is $n\\mathbb{Z}$, the integers that $n$ divides.\nBy the [[first isomorphism theorem|0CXXJNG5B6]], $\\mathbb{Z}/n\\mathbb{Z}$ as a quotient of $\\mathbb{Z}$ is isomorphic to the image, the [[integers modulo $n$|03VFZ2WETT]].\n",
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