document.write( "Question 943702: 20!= 20x19x18x17x...x3x2x1. If 20! is written in its prime factorization form, what is the power of 5? \n" ); document.write( "

Algebra.Com's Answer #575377 by jim_thompson5910(35256) $\"\"$ $\"About$

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Write out $\"20%21\"$ fully to get\r
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\n" ); document.write( "\n" ); document.write( "20!= 20x19x18x17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1\r
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\n" ); document.write( "\n" ); document.write( "Now I'm going to highlight in red the factors that are multiples of 5\r
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\n" ); document.write( "\n" ); document.write( "20!= 20x19x18x17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1\r
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\n" ); document.write( "\n" ); document.write( "So we have 20, 15, 10, 5\r
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\n" ); document.write( "\n" ); document.write( "20 = 5*4
\n" ); document.write( "15 = 5*3
\n" ); document.write( "10 = 5*2
\n" ); document.write( "5 = 5*1\r
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\n" ); document.write( "\n" ); document.write( "We have four copies of '5' being multiplied here. So we have $\"5%5E4\"$ as a factor of $\"20%21\"$ \n" ); document.write( "

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