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anonymous

  • one year ago

Is it possible for a composite number to have more than one prime factorization?

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  1. xapproachesinfinity
    • one year ago
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    nn every composite number has a unique prime factorization

  2. xapproachesinfinity
    • one year ago
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    that is to say 6=2x3 is the same as 6=3x2 this is a unique factorization

  3. xapproachesinfinity
    • one year ago
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    that is the fundamental theorem of arithmetics any number if it is not prime can be written uniquely as prime factorization

  4. xapproachesinfinity
    • one year ago
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    for that reason we say the primes are the building blocks of mathematics

  5. xapproachesinfinity
    • one year ago
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    i forgot to say the answer is no! what is said means there no more that one way

  6. xapproachesinfinity
    • one year ago
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    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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