Difference between revisions of "2014 AMC 10B Problems/Problem 17"
(Created page with "==Problem== ==Solution== ==See Also== {{AMC10 box|year=2014|ab=B|num-b=16|num-a=18}} {{MAA Notice}}") |
Royalreter1 (talk | contribs) (→Problem) |
||
| Line 1: | Line 1: | ||
| − | ==Problem== | + | ==Problem 17== |
| + | What is the greatest power of <math>2</math> that is a factor of <math>10^{1002} - 4^{501}</math>? | ||
| + | |||
| + | <math>\textbf{(A) } 2^{1002} \qquad\textbf{(B) } 2^{1003} \qquad\textbf{(C) } 2^{1004} \qquad\textbf{(D) } 2^{1005} \qquad\textbf{(E) }2^{1006}</math> | ||
| + | ==Problem 17== | ||
| + | What is the greatest power of <math>2</math> that is a factor of <math>10^{1002} - 4^{501}</math>? | ||
| + | |||
| + | <math>\textbf{(A) } 2^{1002} \qquad\textbf{(B) } 2^{1003} \qquad\textbf{(C) } 2^{1004} \qquad\textbf{(D) } 2^{1005} \qquad\textbf{(E) }2^{1006}</math> | ||
==Solution== | ==Solution== | ||
Revision as of 15:02, 20 February 2014
Contents
Problem 17
What is the greatest power of 
that is a factor of 
?
Problem 17
What is the greatest power of that is a factor of ?
Solution
See Also
| 2014 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 16 |
Followed by Problem 18 | |
| 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 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
