A Prime number has only 2 factors which are itself and one
The 1st ten prime numbers are: 2 3 5 7 11 13 17 19 23 and 29
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Square numbers can't be prime. They have too many factors.
2 and 3 are the prime factors of 36. Of the factors of 36, 2 and 3 are the only prime numbers.
The new number has four factors: 1, the two prime numbers and the new product.
The number 1 is neither composite nor prime.
Just the number two.