Hi Rebecca,

I don't know what the largest number of sunspots ever recorded is, but I do know that scientists have counted as many as 300 sunspots in just one day. Determining the sunspot number is actually a tricky process, since the number of sunspots an observer might see can depend upon the type of equipment available. You can read more about how scientists determine the sunspot number here:

http://science.nasa.gov/h...2000/ast05apr_1m.htm

http://www.ngdc.noaa.gov/...tpsunspotnumber.html

Kris