document.write( "Question 1208684: Find the number of 7-digit positive integers, where the sum of the digits is divisible by 3. \n" ); document.write( "

Algebra.Com's Answer #847077 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Find the number of 7-digit positive integers, where the sum of the digits is divisible by 3.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "First 7-digit positive integer number is 1,000,000 (one million).\r\n" );
document.write( "\r\n" );
document.write( "The last  7-digit positive integer number is 9,999,999.\r\n" );
document.write( "\r\n" );
document.write( "The number of all 7-digit positive integer number is 9,999,999 - 999,999 = 9,000,000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The 7-digit positive integer numbers, whose sum of digits is divisible by 3 \r\n" );
document.write( "are those and only whose of this set that are divisible by 3.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The number of such numbers is one third of 9,000,000, i.e. 3,000,000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.   The number of 7-digit positive integers, where the sum of the digits is divisible by 3 is 3,000,000.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );