Spain-South/Latin America
France- Canada
Britain- Virginia and New England
All 3 had territory in the Caribbean.Spain settled in S.A. to find gold to bring back to Spain.
France was mostly interested in fur trapping and trade with the natives.
Virginia was settled because the English thought they could find gold there as the Spanish had in South America. when they realized there was no gold to be found they turned to tobacco farming, which was also very lucrative.
New England was settled by people who wanted to escape from the religious oppression they had experienced in England, primarily the Pilgrims and the Puritans.