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consecutive zeros at the end of the 2001!

Source: Portugal OPM 2001 p3

May 19, 2024
Digitsnumber theory

Problem Statement

How many consecutive zeros are there at the end of the number 2001!=2001×2000×...×3×2×12001! = 2001 \times 2000 \times ... \times 3 \times 2 \times 1 ?
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