Difference between revisions of "1997 AJHSME Problems/Problem 11"
Talkinaway (talk | contribs) (Created page with "==Problem== Let <math>\boxed{N}</math> mean the number of whole number divisors of <math>N</math>. For example, <math>\boxed{3}=2</math> because 3 has two divisors, 1 and 3. F...") |
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<math>\boxed{\boxed{11}\times\boxed{20}}</math> | <math>\boxed{\boxed{11}\times\boxed{20}}</math> | ||
− | <math>11</math> has <math>2</math> factors, and <math>20</math> has <math>\{1, 2, 4, 5, 10, 20\}</math> as factors, for a total of <math>6</math> factors. Plugging | + | <math>11</math> has <math>2</math> factors, and <math>20</math> has <math>\{1, 2, 4, 5, 10, 20\}</math> as factors, for a total of <math>6</math> factors. Plugging <math>\boxed{11} = 2</math> and <math>\boxed {20}= 6</math>: |
<math>\boxed{2 \times 6}</math> | <math>\boxed{2 \times 6}</math> | ||
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* [[AJHSME Problems and Solutions]] | * [[AJHSME Problems and Solutions]] | ||
* [[Mathematics competition resources]] | * [[Mathematics competition resources]] | ||
+ | {{MAA Notice}} |
Latest revision as of 23:26, 4 July 2013
Problem
Let mean the number of whole number divisors of . For example, because 3 has two divisors, 1 and 3. Find the value of
Solution
has factors, and has as factors, for a total of factors. Plugging and :
has factors of , so , and the answer is
See also
1997 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
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 AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.