identify which and which is not the prime factorization of a whole number

3^4 divided by 5^2

2^2:5:18

3:7^2:9

2:5^3:13^2

1 answer

3^4 divided by 5^2: This is not a prime factorization because it's a division, not a factorization.

2^2:5:18: This is not a prime factorization because 18 has prime factors of 2 and 3 but they are not shown as individual factors.

3:7^2:9: This is not a prime factorization because 9 has prime factors of 3 but it is not shown as individual factors (it should be 3^3:7^2).

2:5^3:13^2: This is a prime factorization, as all the factors listed are prime and raised to a power.