I have sat for about 8 hours doing trial and error and I have tried all combinations of different prime numbers but I am totally stuck..
I know that prime power decomposition is suppose to be prime number to the power of integers and their product gives you the original number... but I am asked to break this number down into its prime power decomposition.
412023436986659543855531365332575948179811699844327982845455626433876445565248426198098870423161841879261420247188869492560931776375033421130982397485150944909106910269861031862704114880866970564902903653658867433731720813104105190864254793282601391257624033946373269391
i have tried trial division which miserably failed after 1000, and now I am trying to divide the number into the largest prime number I can find and take the quotient I get and try to factor that into the largest prime number it can fit and so on until i have it all factored....is this even possible?
There is some browser problem I am having where comment button on stack isnt working.
This is one of the 8 assignment questions I have been assigned. I have finished all others and this I cant do from past 8 hours...
Should I write down all the prime numbers that are smaller than this number /2? and then try to break this up into those?