Art of Problem Solving

2016 AMC 8 Problems/Problem 15: Difference between revisions

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15. What is the largest power of <math>2</math> that is a divisor of <math>13^4 - 11^4</math>?
What is the largest power of <math>2</math> that is a divisor of <math>13^4 - 11^4</math>?
<math>(A)\mbox{ }8\mbox{          }(B)\mbox{ }16\mbox{          }(C)\mbox{ }32\mbox{          }(D)\mbox{ }64\mbox{          }(E)\mbox{ }128\mbox{          }</math>
<math>(A)\mbox{ }8\qqad(B)\mbox{ }16\qqad(C)\mbox{ }32\qqad(D)\mbox{ }64\qqad(E)\mbox{ }128</math>

Revision as of 10:52, 23 November 2016

What is the largest power of $2$ that is a divisor of $13^4 - 11^4$? $(A)\mbox{ }8\qqad(B)\mbox{ }16\qqad(C)\mbox{ }32\qqad(D)\mbox{ }64\qqad(E)\mbox{ }128$ (Error compiling LaTeX. Unknown error_msg)