Add `factorial` and more #259

Job	Run time
build (ubuntu-latest, Release, clang, 3.10)	4m 38s
build (ubuntu-latest, Release, clang, 3.11)	4m 53s
build (ubuntu-latest, Release, clang, 3.12)	4m 40s
build (windows-latest, Release, cl, 3.10)	5m 19s
build (windows-latest, Release, cl, 3.11)	4m 55s
build (windows-latest, Release, cl, 3.12)	5m 16s
build (macos-12, Release, clang, 3.10)	3m 27s
build (macos-12, Release, clang, 3.11)	2m 42s
build (macos-12, Release, clang, 3.12)	4m 9s
build (macos-13, Release, clang, 3.10)	4m 22s
build (macos-13, Release, clang, 3.11)	3m 17s
build (macos-13, Release, clang, 3.12)	7m 8s
build (macos-14, Release, clang, 3.10)	1m 59s
build (macos-14, Release, clang, 3.11)	2m 9s
build (macos-14, Release, clang, 3.12)	1m 47s
	1h 0m 41s

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