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Last year, the Good Foods Cereal Company produced 445 636 boxes of cereal. The company produced the exact same number of boxes of each type of cereal. How many different types of cereal could the Good Foods Cereal Company make?

Question

Last year, the Good Foods Cereal Company produced 445 636 boxes of cereal. The company produced the exact same number of boxes of each type of cereal. How many different types of cereal could the Good Foods Cereal Company make?

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Solution

The number of different types of cereal the Good Foods Cereal Company could make depends on the factors of the total number of boxes produced. Factors are the numbers you can evenly divide into a number, leaving no remainder.

The factors of 445,636 are: 1, 2, 4, 13, 26, 52, 8573, 17146, 34292, 111409, 222818, and 445636.

So, the Good Foods Cereal Company could have made 1, 2, 4, 13, 26, 52, 8573, 17146, 34292, 111409, 222818, or 445636 different types of cereal.

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