document.write( "Question 243417: Let a and b be digits of a three –digit number “6ab” that is greater than 600. if “6ab” is divisible by 4 , how many possibilities are there for the two- digit number “ab” ? \n" ); document.write( "
Algebra.Com's Answer #178354 by Edwin McCravy(20056)\"\" \"About 
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document.write( "Since 600 is divisible by 4, 600 plus any two digit number \"ab\",\r\n" );
document.write( "producing \"6ab\", will be divisible by 4 if and only if \"ab\" is \r\n" );
document.write( "divisible by 4.  So the problem amounts only to finding all \r\n" );
document.write( "two-digit numbers divisible by 4.\r\n" );
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document.write( "The smallest two-digit number \"ab\" divisible by 4 is 12, \r\n" );
document.write( "and of course 612 is also divisible by 4.\r\n" );
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document.write( "The largest two-digit number \"ab\" divisible by 4 is 96, \r\n" );
document.write( "and of course 696 is also divisible by 4.\r\n" );
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document.write( "12 is 4x3 and 96 is 4x24, and from 3 to 24, inclusive, there are 22\r\n" );
document.write( "integers.  So there are 22.  Here are all 22:\r\n" );
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document.write( "   \"ab\"       \"6ab\"\r\n" );
document.write( "--------------------------\r\n" );
document.write( "1.  12 because 612 = 4x153\r\n" );
document.write( "2.  16 because 616 = 4x154\r\n" );
document.write( "3.  20 because 620 = 4x155\r\n" );
document.write( "4.  24 because 624 = 4x156\r\n" );
document.write( "5.  28 because 628 = 4x157\r\n" );
document.write( "6.  32 because 632 = 4x158\r\n" );
document.write( "7.  36 because 636 = 4x159\r\n" );
document.write( "8.  40 because 640 = 4x160\r\n" );
document.write( "9.  44 because 644 = 4x161\r\n" );
document.write( "10. 48 because 648 = 4x162\r\n" );
document.write( "11. 52 because 652 = 4x163\r\n" );
document.write( "12. 56 because 656 = 4x164\r\n" );
document.write( "13. 60 because 660 = 4x165\r\n" );
document.write( "14. 64 because 664 = 4x166\r\n" );
document.write( "15. 68 because 668 = 4x167\r\n" );
document.write( "16. 72 because 672 = 4x168\r\n" );
document.write( "17. 76 because 676 = 4x169\r\n" );
document.write( "18. 80 because 680 = 4x170\r\n" );
document.write( "19. 84 because 684 = 4x171\r\n" );
document.write( "20. 88 because 688 = 4x172\r\n" );
document.write( "21. 92 because 692 = 4x173\r\n" );
document.write( "22. 96 because 696 = 4x174\r\n" );
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document.write( "Edwin
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