New Mexico is about 226 times bigger than Faroe Islands.

Faroe Islands is approximately 1,393 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 22,464% larger than Faroe Islands. Meanwhile, the population of Faroe Islands is ~52,269 people (2.0 million more people live in New Mexico).
Tip: This to-scale comparison of Faroe Islands vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.