Add `factorial` and more #257

Job	Run time
build (ubuntu-latest, Release, clang, 3.10)	5m 22s
build (ubuntu-latest, Release, clang, 3.11)	5m 26s
build (ubuntu-latest, Release, clang, 3.12)	4m 44s
build (windows-latest, Release, cl, 3.10)	5m 34s
build (windows-latest, Release, cl, 3.11)	5m 0s
build (windows-latest, Release, cl, 3.12)	4m 56s
build (macos-12, Release, clang, 3.10)	2m 55s
build (macos-12, Release, clang, 3.11)	3m 7s
build (macos-12, Release, clang, 3.12)	3m 11s
build (macos-13, Release, clang, 3.10)	2m 47s
build (macos-13, Release, clang, 3.11)	2m 39s
build (macos-13, Release, clang, 3.12)	3m 50s
build (macos-14, Release, clang, 3.10)	1m 58s
build (macos-14, Release, clang, 3.11)	1m 44s
build (macos-14, Release, clang, 3.12)	2m 11s
	55m 24s

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