Difference between revisions of "2024 AMC 10A Problems/Problem 5"
Aggarw.vyom (talk | contribs) (→Video Solution by Central Valley Math Circle) |
Khizarrouf (talk | contribs) |
||
| (2 intermediate revisions by the same user not shown) | |||
| Line 64: | Line 64: | ||
https://youtu.be/uhpWASWW2ns | https://youtu.be/uhpWASWW2ns | ||
| − | == | + | ==Video solution by TheNeuralMathAcademy== |
| − | + | https://www.youtube.com/watch?v=4b_YLnyegtw&t=782s | |
| − | {{ | + | |
| + | ==See Also== | ||
| + | {{AMC10 box|year=2024|ab=A|before=[[2023 AMC 10B Problems]]|after=[[2024 AMC 10B Problems]]}} | ||
| + | * [[AMC 10]] | ||
| + | * [[AMC 10 Problems and Solutions]] | ||
| + | * [[Mathematics competitions]] | ||
| + | * [[Mathematics competition resources]] | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Latest revision as of 17:15, 18 August 2025
- The following problem is from both the 2024 AMC 10A #5 and 2024 AMC 12A #4, so both problems redirect to this page.
Contents
- 1 Problem
- 2 Solution
- 3 Video Solution by Central Valley Math Circle
- 4 Video Solution
- 5 Video Solution by Math from my desk
- 6 Video Solution (⚡️ 1 min solve ⚡️)
- 7 Video Solution by Pi Academy
- 8 Video Solution by Daily Dose of Math
- 9 Video Solution 1 by Power Solve
- 10 Video Solution by SpreadTheMathLove
- 11 Video Solution by TheBeautyofMath
- 12 Video Solution by Dr. David
- 13 Video solution by TheNeuralMathAcademy
- 14 See Also
Problem
What is the least value of 
such that 
is a multiple of 
?
Solution
Note that 
in the prime factorization. Since 
is a multiple of 
and 
we conclude that is a multiple of 
Therefore, we have 
Remark
Memorizing the prime factorization of the current year is useful for the AMC 8/10/12 Exams.
~MRENTHUSIASM
Remark
Note that is 
, which is 
.
~WISETIGERJ2
Video Solution by Central Valley Math Circle
~mr_mathman
Video Solution
Video Solution by Math from my desk
https://www.youtube.com/watch?v=fAitluI5SoY&t=3s
Video Solution (⚡️ 1 min solve ⚡️)
~Education, the Study of Everything
Video Solution by Pi Academy
https://youtu.be/GPoTfGAf8bc?si=JYDhLVzfHUbXa3DW
Video Solution by Daily Dose of Math
~Thesmartgreekmathdude
Video Solution 1 by Power Solve
https://youtu.be/j-37jvqzhrg?si=qwyiAvKLbySyDR7D&t=529
Video Solution by SpreadTheMathLove
https://www.youtube.com/watch?v=6SQ74nt3ynw
Video Solution by TheBeautyofMath
For AMC 10: https://youtu.be/uKXSZyrIOeU?t=1168
For AMC 12: https://youtu.be/zaswZfIEibA?t=984
~IceMatrix
Video Solution by Dr. David
Video solution by TheNeuralMathAcademy
https://www.youtube.com/watch?v=4b_YLnyegtw&t=782s
See Also
| 2024 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by 2023 AMC 10B Problems |
Followed by 2024 AMC 10B Problems | |
| 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 | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
