AMC10 2014 10B, Problem 12

The largest divisor of $2,014,000,000$ is itself. What is its fifth-largest divisor?

Solution: Note that $2,014,000,000$ is divisible by $1,\ 2,\ 4,\ 5,\ 8$. Then, the fifth largest factor would come from divisibility by $8$, or $251,750,000$, or $\fbox{251,750,0}$.

Answer: 251,750,0