2024 AMC 12A Problem 4
Attempt Problem 4 of the 2024 AMC 12A below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2024 AMC 12A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
What is the least value of such that is a multiple of
Answer: D
Small hint:
Factor
Big hint:
must contain the prime so
Solution:
Factoring, The factorial contains the prime only when At the product already includes and plenty of factors of so is a multiple of Thus, the correct answer is D.
Problem 4 in other years
- 1950 AMC 12
- 1951 AMC 12
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