document.write( "Question 1111525: What is the smallest positive integer that only comprises of the digits 0 and 1, and is a multiple of 42? \n" ); document.write( "

Algebra.Com's Answer #726532 by ikleyn(52776) $\"\"$ $\"About$

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\n" ); document.write( "Answer. 101010.\r
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\n" ); document.write( "\n" ); document.write( "Check. $\"101010%2F42\"$ = 2405.\r
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document.write( "It must be multiple of 3 ====> so it must contain at least three \"1\" digits.\r\n" );
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document.write( "It must be multiple of 2  ====>  so it ends on \"0\".\r\n" );
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document.write( "Try this:\r\n" );
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document.write( "    1110  :      is not an integer.\r\n" );
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document.write( "    11010 :     is not an integer.\r\n" );
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document.write( "    10110 :     is not an integer.\r\n" );
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document.write( "Next to try is 101010,  and it works.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Logic and knowledge of the divisibility rules help you to organize the search by a rational way.\r
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