New Mexico is about 14,967 times bigger than Nauru.

Nauru is approximately 21 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 1,496,614% larger than Nauru. Meanwhile, the population of Nauru is ~9,811 people (2.0 million more people live in New Mexico).
Tip: This to-scale comparison of Nauru vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.