Use a factor tree.
8
4,2
2,2,2
2 x 2 x 2 = 8
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103 is already prime, no need for a factorization.
The prime factorization of 122 is: 2 x 61
120 has the prime factorization 8 x 3 x 5
The prime factorization of 64 is 2x2x2x2x2x2 or 26. The prime factorization of 8 is 2x2x2 or 23.
8 is not a prime factor of 30. The prime factorization of 30 is 2x3x5.