District of Columbia is about 115 times smaller than Massachusetts.

Massachusetts is approximately 20,306 sq km, while District of Columbia is approximately 177 sq km, making District of Columbia 0.87% the size of Massachusetts. Meanwhile, the population of Massachusetts is ~6.5 million people (5.9 million fewer people live in District of Columbia).
Tip: This to-scale comparison of Massachusetts vs. District of Columbia uses the Mercator projection, which distorts the size of regions near the poles.