Thread: Power of 5

What is the power of 5 in

(1!*2!......10!)*(1!*2!.....100!)*(1!*2!.....1000! )

Originally Posted by itsmaximhere

What is the power of 5 in

(1!*2!......10!)*(1!*2!.....100!)*(1!*2!.....1000! )

Analyze the number of factor 5 in the brackets:

(1!*2!......10!) contains

(1!*2!.....100!) contains

(1!*2!.....1000!) contains

Not sure about the last line so check my arithmetic, please!