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The number that has exactly 15 factors is 28. To determine the number of factors a number has, you can prime factorize the number and then add 1 to each exponent in the prime factorization and multiply these numbers together. In the case of 28, the prime factorization is 2^2 * 7^1, so the number of factors is (2+1) * (1+1) = 3 * 2 = 6. To have exactly 15 factors, the number needs to be a square of a Prime number, so 28 = 2^2 * 7^1 fits this criteria.

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it is 400 the numbers that go in it are 1,2,4,5,8,10,20,40,50,80,100,200,400

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14y ago
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Q: Which number has exactly 15 factors?
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