Final answer:
The Pilgrims aboard the Mayflower traveled to North America in search of religious freedom, aiming to practice their religion without restrictions and establish a community aligned with their faith.
Step-by-step explanation:
One of the reasons that some of the people aboard the Mayflower wanted to travel to North America was because they sought religious freedom and desired to practice their religion without interference. This group of people, known as Pilgrims or Separatists, were distinct from the Puritans and insisted on complete separation from the Church of England. The Mayflower's historic journey in 1620 was the result of the Pilgrims' yearning for a new life where they could follow their faith freely and lay the foundations for their beliefs in the New World.