anonymous
  • anonymous
Is it possible for a composite number to have more than one prime factorization?
Mathematics
katieb
  • katieb
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xapproachesinfinity
  • xapproachesinfinity
nn every composite number has a unique prime factorization
xapproachesinfinity
  • xapproachesinfinity
that is to say 6=2x3 is the same as 6=3x2 this is a unique factorization
xapproachesinfinity
  • xapproachesinfinity
that is the fundamental theorem of arithmetics any number if it is not prime can be written uniquely as prime factorization

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xapproachesinfinity
  • xapproachesinfinity
for that reason we say the primes are the building blocks of mathematics
xapproachesinfinity
  • xapproachesinfinity
i forgot to say the answer is no! what is said means there no more that one way
xapproachesinfinity
  • xapproachesinfinity
taking into account that if N is composite and a and b are primes such that N=axb is the same as N=bxa so that is one way only

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