Difference between revisions of "1994 AIME Problems/Problem 5"
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== Problem == | == Problem == | ||
| + | Given a positive integer <math>n\,</math>, let <math>p(n)\,</math> be the product of the non-zero digits of <math>n\,</math>. (If <math>n\,</math> has only one digits, then <math>p(n)\,</math> is equal to that digit.) Let | ||
| + | <center><math>S=p(1)+p(2)+p(3)+\cdots+p(999)</math></center>. | ||
| + | What is the largest prime factor of <math>S\,</math>? | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=1994|num-b=4|num-a=6}} | |
Revision as of 23:26, 28 March 2007
Problem
Given a positive integer 
, let 
be the product of the non-zero digits of . (If has only one digits, then is equal to that digit.) Let
.
What is the largest prime factor of 
?
Solution
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See also
| 1994 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
