document.write( "Question 106924: The question is:\r
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document.write( "What is the greatest positive integer n such that 2^n is a factor of 12^10? I guessed and got the answer correct: 20. But I don't know how to work this problem. \n" );
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Algebra.Com's Answer #77842 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! 12^10=(2^10)(2^10)(3^10)=(2^20)(3^10)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3^10 is odd and has no even factors (no 2's) ... so 2^20 is largest power of 2 in 12^10 \n" ); document.write( " |