1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Multiplying any integer with any prime

  1. Aug 9, 2013 #1


    User Avatar

    PS. I dont speak or write english very well. I´m doing my best. Is it still ok to post questions?

    a = any integer
    b = any prime number

    a * b = c

    Is there a proof that "c" isnt made up by any other prime factors than the prime factors that make up "a" (except for "b")?
  2. jcsd
  3. Aug 9, 2013 #2
    It's a result of the fundamental theorem of arithmetic. :wink:
  4. Aug 10, 2013 #3
    Sinse a prime number can only be divided by 1 and itself, no two numbers can ever equal a prime number. I don't know what the proof is called though. I think the OP wants to know the name of the actual law/proof.
  5. Aug 10, 2013 #4
    As Mandelbroth said, the proof is the fundamental theorem of arithmetic, from which the OP's desired result follows immediately.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook