Difference between revisions of "2020 AIME II Problems/Problem 1"
Topnotchmath (talk | contribs) m |
|||
| Line 7: | Line 7: | ||
~superagh | ~superagh | ||
<br><br> | <br><br> | ||
| − | + | ||
| + | ==Video Solution== | ||
| + | https://www.youtube.com/watch?v=x0QznvXcwHY | ||
| + | |||
==See Also== | ==See Also== | ||
{{AIME box|year=2020|n=II|before=First Problem|num-a=2}} | {{AIME box|year=2020|n=II|before=First Problem|num-a=2}} | ||
| + | [[Category:Introductory Number Theory Problems]] | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 22:44, 7 June 2020
Contents
Problem
Find the number of ordered pairs of positive integers 
such that 
.
Solution
First, we find the prime factorization of 
, which is 
. The equation tells us that we want to select a perfect square factor of , 
. 
will be assigned by default. There are 
ways to select a perfect square factor of , thus our answer is 
.
~superagh
Video Solution
https://www.youtube.com/watch?v=x0QznvXcwHY
See Also
| 2020 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by First Problem |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
