District of Columbia is about 1,165 times smaller than Minnesota.

Minnesota is approximately 206,189 sq km, while District of Columbia is approximately 177 sq km, making District of Columbia 0.09% the size of Minnesota. Meanwhile, the population of Minnesota is ~5.3 million people (4.7 million fewer people live in District of Columbia).
Tip: This to-scale comparison of Minnesota vs. District of Columbia uses the Mercator projection, which distorts the size of regions near the poles.