A Factorial Product Problem

Описание к видео A Factorial Product Problem

We show that the product 1! x 2! x ... x 1000! can be written in the form (a!)^2 b^3 c^4, where a, b, and c are positive integers.

00:00 Rewriting the product
01:59 Powers of 3
02:52 Powers of 4
05:05 Remaining terms

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