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35 can be a factor, but it is not prime.
The factor pairs of 2352 are 1 x 2352, 2 x 1176, 3 x 784, 4 x 588, 6 x 392, 7 x 336, 8 x 294, 12 x 196, 14 x 168, 16 x 147, 21 x 112, 24 x 98, 28 x 84, 42 x 56, and 48 x 49.
There is no factorization. 37 is a prime number.37 is already prime. Its only prime factor is itself.
81 is not prime. Its prime factorization is 3x3x3x3.
No, 51 isn't prime. 17 is the largest prime factor of 306.