2 x 2 x 2 x 2 x 3 x 3 = 144
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144 = 24 x 32
In exponents: 24*32 = 144
24 x 33 = 144 This equals 432 not 144. It should be 3 squared, not 3 cubed.
The product of the prime factors of any number is equal to the number itself. Therefore, the product of the prime factors of 350 is 350.
As a product of its prime factors: 225*5 = 100