Difference between revisions of "2006 Cyprus MO/Lyceum/Problem 24"
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==Problem== | ==Problem== | ||
− | The number of [[divisors]] of the number <math>2006</math> is | + | The number of [[divisor|divisors]] of the number <math>2006</math> is |
A. <math>3</math> | A. <math>3</math> |
Revision as of 16:18, 2 March 2008
Problem
The number of divisors of the number is
A.
B.
C.
D.
E.
Solution
. A divisor of is therefore in the form , where , , and . There are 2 choices for , 2 choices for , and two choices for , therefore there are divisors of .
See also
2006 Cyprus MO, Lyceum (Problems) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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 |