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Difference between revisions of "2007 iTest Problems/Problem 20"

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What is 1+1?
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==Problem==
  
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No answer for the next few years, try again later! Thanks for your patience.
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Find the largest integer <math>n</math> such that <math>2007^{1024}-1</math> is divisible by <math>2^n</math>
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<math>\text{(A) } 1\qquad
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\text{(B) } 2\qquad
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\text{(C) } 3\qquad
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\text{(D) } 4\qquad
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\text{(E) } 5\qquad
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\text{(F) } 6\qquad
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\text{(G) } 7\qquad
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\text{(H) } 8\qquad</math>
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<math>\text{(I) } 9\qquad
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\text{(J) } 10\qquad
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\text{(K) } 11\qquad
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\text{(L) } 12\qquad
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\text{(M) } 13\qquad
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\text{(N) } 14\qquad
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\text{(O) } 15\qquad
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\text{(P) } 16\qquad</math>
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<math>\text{(Q) } 55\qquad
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\text{(R) } 63\qquad
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\text{(S) } 64\qquad
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\text{(T) } 2007\qquad</math>
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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!
  
 
==See Also==
 
==See Also==

Revision as of 16:51, 17 June 2025

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!

See Also

2007 iTest (Problems, Answer Key)
Preceded by:
Problem 19 		Followed by:
Problem 21
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 • 51 • 52 • 53 • 54 • 55 • 56 • 57 • 58 • 59 • 60 • TB1 • TB2 • TB3 • TB4
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