perplexus.info :: Just Math : Eleven Exponent Divides Evenly

Eleven Exponent Divides Evenly (Posted on 2009-08-01)

M is a 2003-digit positive decimal integer having the form: 12.....21
where, the first digit is 1, followed by the digit 2 repeated precisely 2001 times, and the last digit is 1.

Determine the highest power of 11 that evenly divides M.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required highest power of 11 that evenly divides M is 3.

For an explanation, refer to the analytical solution located here and, its computer program aided verification located here, each of which has been submitted by Charlie.

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

Subject	Author	Date
re(2): Solution verification by computer	Charlie	2009-08-01 16:30:59
re: Solution	Charlie	2009-08-01 16:25:37
Solution	Dej Mar	2009-08-01 15:00:11

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