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Math Help - Number Theory

  1. #1
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    Number Theory

    Prove that if a,p are in Z with p a prime and p divides a^2, then p divides a
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    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by teramaries View Post
    Prove that if a,p are in Z with p a prime and p divides a^2, then p divides a
    http://www.mathhelpforum.com/math-he...tml#post529066
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    To prove it you can use a proof by contradiction. Assume the antecedent is true but p does not divide a. Show that this means p does not divide a^2...contradiction. Hint: Fundamental theorem of arithmetic
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