Difference between revisions of "2016 AMC 8 Problems/Problem 15"

m
m
Line 1: Line 1:
 
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\qqad(B)\mbox{ }16\qqad(C)\mbox{ }32\qqad(D)\mbox{ }64\qqad(E)\mbox{ }128</math>
+
 
 +
<math>\textbf{(A)}\mbox{ }8\qquad \textbf{(B)}\mbox{ }16\qquad \textbf{(C)}\mbox{ }32\qquad \textbf{(D)}\mbox{ }64\qquad \textbf{(E)}\mbox{ }128</math>

Revision as of 11:55, 23 November 2016

What is the largest power of $2$ that is a divisor of $13^4 - 11^4$?

$\textbf{(A)}\mbox{ }8\qquad \textbf{(B)}\mbox{ }16\qquad \textbf{(C)}\mbox{ }32\qquad \textbf{(D)}\mbox{ }64\qquad \textbf{(E)}\mbox{ }128$

Invalid username
Login to AoPS