Singapore is about 437 times smaller than New Mexico.

New Mexico is approximately 314,310 sq km, while Singapore is approximately 719 sq km, making Singapore 0.23% the size of New Mexico. Meanwhile, the population of New Mexico is ~2.1 million people (3.9 million more people live in Singapore).
Tip: This to-scale comparison of New Mexico vs. Singapore uses the Mercator projection, which distorts the size of regions near the poles.