What is 1 * 2 * 3 * 4 * 5 all the way to 100
Multiplying every integer from 1 through 100 sequentially produces 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000—this operation is precisely what defines 100 factorial (100!). The calculation involves 99 multiplication operations, with the result growing exponentially larger with each step rather than following simple linear growth.
If you were to perform this multiplication manually, the number would remain manageable through the first 10-20 steps but would quickly become unwieldy. For instance, 10! equals 3,628,800, while 20! already exceeds 2 quintillion. By the time you reach 100, you're working with a value containing 158 digits and 24 trailing zeros. This sequential multiplication pattern appears throughout combinatorics, where it calculates permutations—the number of unique ways to order a set of items. Understanding this fundamental operation is crucial for probability theory, statistical analysis, and algorithm complexity calculations.
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