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23 is a prime and so its only factors are 1 and 23. The product will be smaller than 23 but it is not possible to be certain how the product will compare with 1.
The only factors of 15 are 3 and 5 so the product of 3 * 5 is 15.
The product will be greater than either of the factors.
As product of its prime factors: 3*3*5 = 45
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