Can anyone please check my work of this proof? (Number Theory)

In summary, a proof in number theory is a rigorous way to demonstrate the validity of a mathematical statement or theorem. The best way to check the correctness of a proof is to have someone else review it, and examples can be useful in understanding but should not be relied upon solely. Common mistakes to avoid include circular reasoning, incorrect assumptions, and unclear explanations. To improve proof-writing skills, practice, studying other proofs, seeking feedback, and continuous revisions are recommended.
  • #1
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Homework Statement
If c divides ab and (c, a)=d, then c divides db.
Relevant Equations
None.
This is my work.
 

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  • Proof (3).pdf
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  • #2
I'm not clear on your "it follows that..." in the 2nd sentence. Better to say "then c = ud, a = vd and (u,v)=1." and work from there.
 
  • #3
Math100 said:
Homework Statement:: If c divides ab and (c, a)=d, then c divides db.
Relevant Equations:: None.

This is my work.
@Math100, in future threads, please post your work as text, rather than as a photo in a pdf file.
 
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