American Samoa is about 1,403 times smaller than New Mexico.

New Mexico is approximately 314,310 sq km, while American Samoa is approximately 224 sq km, making American Samoa 0.07% the size of New Mexico. Meanwhile, the population of New Mexico is ~2.1 million people (2.0 million fewer people live in American Samoa).
Tip: This to-scale comparison of New Mexico vs. American Samoa uses the Mercator projection, which distorts the size of regions near the poles.