document.write( "Question 37267: A board game for 2 to 6 players has a deck of cards that can always be divided evenly among all the players. What is the smallest numbers of cards that are possible? \n" ); document.write( "
Algebra.Com's Answer #22952 by AnlytcPhil(1810)\"\" \"About 
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A board game for 2 to 6 players has a deck of cards that can always \r\n" );
document.write( "be divided evenly among all the players. What is the smallest numbers \r\n" );
document.write( "of cards that are possible?\r\n" );
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document.write( "It's the LCM of 2,3,4,5,and 6\r\n" );
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document.write( "Start by listing them in a row with a vertical line on the left\r\n" );
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document.write( "          |   2  3  4  5  6\r\n" );
document.write( "          |\r\n" );
document.write( "          |\r\n" );
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document.write( "Think of a prime number that will divide evenly into 2 or more of these.\r\n" );
document.write( "Pick prime number 2, write it to the left of the vertical line:\r\n" );
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document.write( "       2  |   2  3  4  5  6\r\n" );
document.write( "          |\r\n" );
document.write( "          |\r\n" );
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document.write( "Divide 2 into each number that 2 will divide evenly into and put what\r\n" );
document.write( "you get underneath.  Bring the other numbers down:\r\n" );
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document.write( "       2  |   2  3  4  5  6\r\n" );
document.write( "          |   1  3  2  5  3\r\n" );
document.write( "          |\r\n" );
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document.write( "Think of a prime number that will divide evenly into 2 or more of these\r\n" );
document.write( "on the bottom line. Pick prime number 3, write it to the left of the \r\n" );
document.write( "vertical line:\r\n" );
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document.write( "       2  |   2  3  4  5  6\r\n" );
document.write( "       3  |   1  3  2  5  3\r\n" );
document.write( "          |\r\n" );
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document.write( "Divide 3 into each number that 3 will divide evenly into and put what\r\n" );
document.write( "you get underneath.  Bring the other numbers down:\r\n" );
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document.write( "       2  |   2  3  4  5  6\r\n" );
document.write( "       3  |   1  3  2  5  3\r\n" );
document.write( "          |   1  1  2  5  1\r\n" );
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document.write( "There is no prime that will divide evenly into two of the numbers\r\n" );
document.write( "on the bottom line. So we multiply down the left side and across the\r\n" );
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document.write( "2󫢩󪻒󬊁 = 60\r\n" );
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document.write( "We would need 60 cards\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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