New Mexico is about 8,731 times bigger than Norfolk Island.

Norfolk Island is approximately 36 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 872,983% larger than Norfolk Island. Meanwhile, the population of Norfolk Island is ~1,748 people (2.1 million more people live in New Mexico).
Tip: This to-scale comparison of Norfolk Island vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.