I don't think there are 3 numbers that can do this. 1, 2, 3, 5, 7, 11, 13, 17, 19, etc are the primes. 2x5 is 10, but then you need 4, which isn't prime. This is the same with any other combos i've tried.
3 and 19
293 is already prime. Those numbers don't exist.
2 3 3 7
They are: 2*3*5 = 30
3*19
39 is the product when the two prime numbers 3 and 13 are multiplied.
They are: 3*3 = 9
3 and 19
The prime numbers 2 and 3 have 6 as their product when multiplied.
293 is already prime. Those numbers don't exist.
2 3 3 7
1597 is a prime number. You cannot multiply prime numbers to create another prime number.
3*41 = 123.
They are: 2*3*5 = 30
3*19
3 and 13
3 x 3 x 3