an infinite amount because it multiplies with everything
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There are 19 numbers between zero and 365 that have an odd number of factors.
4
The limit is infinity if the factors do not have to be whole numbers. If you stipulate that the factors have to be whole numbers, then, yes, for each number, there is a limit to how many factors it has. For example, the number 4 has only 3 whole-number factors: 1, 2, and 4.
No. It is a prime number, so its only factors are 1 and 3.
The factors of 78794 are 6, 7, 9, 248948, 6, and 0 and their positives. The prime factors are 389167428, 8945, and 6