8 = 2 x 2 x 2 (the x's are as multiplication signs) or 23 which is 2 to the 3rd power
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(3x - 8)(8x + 5)
No number has that prime factorization since 4 isn't prime.
No prime power exists since there are no duplicate prime numbers in the prime factorization.
The prime factorization of the number 9600 would be 2 to the 7th power times 3 times 5 to the 2nd power.
2x2x2x5 or 2 to the third power x5