MultiplicationPrinciple NumberTheoryBasic AMC10/12 Intermediate
2020


Problem - 4746

How many positive integers $n$ are there such that $n$ is a multiple of $5$, and the least common multiple of $5!$ and $n$ equals $5$ times the greatest common divisor of $10!$ and $n$?


The solution for this problem is available for $0.99. You can also purchase a pass for all available solutions for $99.

report an error