How many even different factors does the integer P have?

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How many even different factors does the integer P have?

(1) P = (x^2)(y^2)(z^3)(2^4), where x, y, and z are different odd prime numbers.
(2) The total number of different factors in P are 180 and P is a multiple of 16 but not a multiple of 32. Also only other prime numbers that are factors of P are 3, 5 and 7.

The OA is the option D.

Experts, how can I get an answer with each statement alone? Can you give me some help? Thanks.
Source: — Data Sufficiency |