document.write( "Question 938772: the number 6952 is divided by a single digit number. the quotient is a four digit number. there is no remainder. all the digits from 1-9 are used exactly once. what is the divisor and quotient. \n" ); document.write( "

Algebra.Com's Answer #571942 by MathLover1(20850) $\"\"$ $\"About$

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let a single digit number $\"+x\"$ and a four digit quotient $\"+abcd\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6952%2Fx=abcd\"$ where $\"+abcd\"$ the digits from 1-9 are used exactly once\r
\n" ); document.write( "\n" ); document.write( " $\"6952\"$ -> factor it first\r
\n" ); document.write( "\n" ); document.write( " $\"6952=2%2A3476=2%2A2%2A1738=2%2A2%2A2%2A869\"$ -prime factors\r
\n" ); document.write( "\n" ); document.write( "so, since factor $\"869\"$ is three digit number and we need four digit number, $\"x\"$ can be $\"2\"$ or $\"4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6952%2F2=3476\"$ and the digits from $\"1-9+\"$ are used $\"exactly\"$ $\"+once\"$
\n" ); document.write( " $\"6952%2F4=1738+\"$ here also the digits from $\"1-9+\"$ are used $\"exactly\"$ $\"once\"$ \r
\n" ); document.write( "\n" ); document.write( "then the divisor can be $\"2+\"$ or $\"4\"$ and quotient can be $\"3476\"$ or $\"1738\"$ \r
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