The European "discovery" and early exploration of North America involved multiple nations and motivations—trade routes, territorial claims, resource extraction, and religious conversion.
Christopher Columbus (1492–1504): Four Spanish-sponsored voyages reached Caribbean islands and Central/South American coasts, initiating sustained contact. Never reached North America proper.
John Cabot / Giovanni Caboto (1497–1498): Venetian navigator under English flag reached Newfoundland/Labrador, claiming "New Found Land" for Henry VII—England's first North American claim.
Jacques Cartier (1534–1542): Three French voyages explored the Gulf of St. Lawrence and St. Lawrence River to Hochelaga (Montreal), claiming "Canada" for France.
Samuel de Champlain (1603–1635): "Father of New France" founded Quebec (1608), mapped extensively, allied with Huron/Algonquin against Iroquois. Note: Primarily early 1600s, not 1500s.
Henry Hudson (1607–1611): English/Dutch explorer sought Northwest Passage; explored Hudson River (1609) and Hudson Bay (1610–11). Also early 1600s.
Juan Ponce de León (Florida, 1513), Lucas Vázquez de Ayllón (Carolinas, 1526), Hernando de Soto (Southeast US, 1539–1543), Francisco Vásquez de Coronado (Southwest US, 1540–1542), Giovanni da Verrazzano (East Coast, 1524).
These voyages began the displacement of indigenous nations occupying the continent for 15,000+ years. The 1494 Treaty of Tordesillas divided claims between Spain and Portugal; other powers ignored it.