Is New Mexico part of the Unied States?
Yes, New Mexico is one of the 50 states. It is bordered by Arizona, Utah, Colorado, Oklahoma and Texas. It was once part of Mexico (the country), hence the confusion.
New Mexico is a state which belongs to the United States since 1848. It was part of the country of Mexico, and was acquired after the Mexican-American War (1846-1848). Mexico, the country from which New Mexico was acquired, is an independent country south of the United States. Its capital is Mexico City.