perplexus.info :: Just Math : Unknown Power Ponder

Unknown Power Ponder (Posted on 2014-08-11)

Each of x, y and z are positive integers such that x+y+z=2006 and, x!*y!*z! = p*10^q, where each of p and q is a positive integer and p is not divisible by 10.

What is the smallest value of q?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required smallest value of q is 492.
For an explanation, refer to the solution submitted by Steve Herman in this location and the rejoinder by broll in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(3): Paper and pencil solution (spoiler?)	Ady TZIDON	2014-08-12 09:49:12
re(2): Paper and pencil solution (spoiler?)	broll	2014-08-12 08:17:35
re: Paper and pencil solution (spoiler?)	Ady TZIDON	2014-08-12 02:21:07
Paper and pencil solution (spoiler?)	Steve Herman	2014-08-11 21:01:22

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