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## 'Fac-finding' printed from http://nrich.maths.org/

See the notes for information about why
Lyndon likes this problem. He has also added a further related
question (in green below).

If factorial $100$ ($100!$) was rewritten as the product of
its prime factors how many $2$s and how many $5$s would there
be?

Along the way confirm how many zeros are at
the end of this large number and what the first digit to precede
them is.