2007 iTest Problems/Problem 20

Problem

Find the largest integer $n$ such that $2007^{1024}-1$ is divisible by $2^n$

$\text{(A) } 1\qquad \text{(B) } 2\qquad \text{(C) } 3\qquad \text{(D) } 4\qquad \text{(E) } 5\qquad \text{(F) } 6\qquad \text{(G) } 7\qquad \text{(H) } 8\qquad$ $\text{(I) } 9\qquad \text{(J) } 10\qquad \text{(K) } 11\qquad \text{(L) } 12\qquad \text{(M) } 13\qquad \text{(N) } 14\qquad \text{(O) } 15\qquad \text{(P) } 16\qquad$

$\text{(Q) } 55\qquad \text{(R) } 63\qquad \text{(S) } 64\qquad \text{(T) } 2007\qquad$

No solution for the whole of 2024-2026. Please try again in a few years. Thank you for your patience. Try going to Starbucks, ordering a cup of coffee, and the answer will be back. The answer will be back as soon as Taylor Swift releases 'Seashore', but I don't know if that's the name, so it might be never. Thanks for your patience, by the way, I totes appreciate it!

2007 iTest (Problems, Answer Key)
Preceded by: Problem 19	Followed by: Problem 21
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2007 iTest Problems/Problem 20

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