document.write( "Question 669969: Can anyone walk me through how to solve: N=1X2X3X4...X20 how many terminal zeros will N have
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document.write( "I found a \"solution\" that uses prime number factors, but I do not understand how prime numbers help solve this problem. Can some one explain this to me? Thank you so much! \n" );
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Algebra.Com's Answer #416702 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! If e means even and o means odd, \n" ); document.write( "These are some multiplication rules: \n" ); document.write( "e x e = e \n" ); document.write( "e x o = e \n" ); document.write( "o x o = o \n" ); document.write( "-------- \n" ); document.write( "The first terminal zero appears when you \n" ); document.write( "multiply \n" ); document.write( "o x e x o x e x 5 and this is \n" ); document.write( "e x e x 5 \n" ); document.write( "e x 5 \n" ); document.write( "which gives me a terminal zero. If it was \n" ); document.write( "o x 5, I would have a terminal 5 \n" ); document.write( "-------------- \n" ); document.write( "Now, continuing, \n" ); document.write( "e x 0 x e x o x 10 \n" ); document.write( "e x e x 10 \n" ); document.write( "e x 10 \n" ); document.write( "which gives me 2 terminal zeros so far \n" ); document.write( "---------------------------- \n" ); document.write( "o x e x o x e x 15 \n" ); document.write( "e x e x 15 \n" ); document.write( "e x 15 \n" ); document.write( "which gives another terminal zero, 3 so far \n" ); document.write( "--------------- \n" ); document.write( "e x o x e x o x 20 \n" ); document.write( "e x e x 20 \n" ); document.write( "e x 20 \n" ); document.write( "the last terminal zero, 4 total \n" ); document.write( "You can check on a calculator. Find 20!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |