Kentucky is about 581 times bigger than District of Columbia.

District of Columbia is approximately 177 sq km, while Kentucky is approximately 102,896 sq km, making Kentucky 58,033% larger than District of Columbia. Meanwhile, the population of District of Columbia is ~601,723 people (3.7 million more people live in Kentucky).
Tip: This to-scale comparison of District of Columbia vs. Kentucky uses the Mercator projection, which distorts the size of regions near the poles.