Difference between revisions of "2023 AMC 12A Problems/Problem 3"
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==Problem== | ==Problem== | ||
Revision as of 10:54, 10 November 2023
- The following problem is from both the 2022 AMC 10A #3 and 2022 AMC 12A #3, so both problems redirect to this page.
Problem
How many positive perfect squares less than 
are divisible by 
?
Solution 1
Note that 
but 
(which is over our limit of ) so the list is 
. There are 
elements, so the answer is 
.
~zhenghua
(Minor edits for clarity by Technodoggo)
Solution 2 (slightly refined)
Since 
, there are 
perfect squares less than 2023.
~not_slay
See Also
| 2023 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 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 | ||
| 2023 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 2 |
Followed by Problem 4 |
| 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 12 Problems and Solutions | |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
