document.write( "Question 1042995: Prove that, if d is a factor of x,and d is also a factor of y
\n" ); document.write( "where d>=1,x>=1,y>=1 ∈ Z
\n" ); document.write( "then d^2 is a factor of x multiplied by y \n" ); document.write( "

Algebra.Com's Answer #658067 by ikleyn(52777) $\"\"$ $\"About$

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\n" ); document.write( "Prove that, if d is a factor of x,and d is also a factor of y
\n" ); document.write( "where d>=1,x>=1,y>=1 ∈ Z
\n" ); document.write( "then d^2 is a factor of x multiplied by y
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document.write( "From the condition, a = nd  and  b = md  with some integers  n  and  m.\r\n" );
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document.write( "Then ab = nd*md = nm*d^2.\r\n" );
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document.write( "Proved.\r\n" );
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\n" ); document.write( "\n" ); document.write( "And solved.\r
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