What are the factors of infinity?

(I'm using "oo" for infinity) the factors of infinity would be 1oo x 2oo x 3oo x 5oo x 7oo . . . "4" and "6" are skipped because 4 is just 2 x 2 and 6 is just 2 x 3 thus fitting into 2oo and 3oo. the pattern would be every positive Prime number to the power of infinity. this is because infinity x any positive number is still infinity which means you can factor out any positive number from infinity and still have infinity left.