How many more favors to buy?

Sheila, buying favors for a party she was giving, was having difficulty deciding on how many more favors to buy. She started out by planning to give everyone three favors, but when she divided the favors she had by 3, she had one left over; when she divided by 4, she had two left over; by 5, she had three left over; and by 6, she had four left over. Since she was going to have ten guests, this wouldn’t work. She counted the favors and realized that, by adding two more, she could divide the favors evenly What is the smallest number of favors she could already have bought to meet those specifications?

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Sheila had fifty-eight favors and planned to buy two more.

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