the.com/factorial

multiplication that snowballs until your calculator quietly gives up and weeps

means A mathematical operation, written with an exclamation mark (n!), that multiplies a whole number by every positive whole number below it — so 5! means 5×4×3×2×1.

from From the noun 'factor' (a number you multiply by), itself from the Latin 'factor,' meaning 'maker' or 'doer,' from 'facere,' 'to make or do' — the same root that gives us 'factory' and 'manufacture.' The mathematical sense, with the tidy exclamation mark, was introduced in the early 19th century by the French mathematician Christian Kramp, who wanted a compact way to write these runaway products — and the punctuation feels apt for how fast the numbers explode.

zero rule
0! equals 1, by stubborn mathematical decree
growth
outpaces exponentials, humbles every power function
shuffle math
52! orderings of cards likely never repeated, ever
notation
the exclamation mark was coined in 1808
non-integers
the gamma function extends factorials to fractions
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