Yes.
Prime factorization: 189 = 33*7.
This means:
a) The above equation is true.
b) Only prime numbers are used (except in exponents).
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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 is: 22 x 7
To find the largest perfect cube factor of 189, we first need to factor it into its prime components. The prime factorization of 189 is (3^3 \times 7^1). The largest perfect cube that can be formed from these factors is (3^3), which equals 27. Therefore, the largest perfect cube factor of 189 is 27.
The prime factorization of the number 9600 would be 2 to the 7th power times 3 times 5 to the 2nd power.