Problem:
The largest divisor of 2,014,000,000 is itself. What is its fifth largest divisor?
Answer Choices:
A. 125,875,000
B. 503,500,000
C. 201,400,000
D. 251,750,000
E. 402,800,000
Solution:
By inspection, the five smallest positive divisors of 2,014,000,000 are 1,2,4,5, and 8. Therefore the fifth largest divisor is 82,014,000,000​=(C)251,750,000​.
The problems on this page are the property of the MAA's American Mathematics Competitions