1.) what is the prime factorization of 57

2.) what is the prime factorization of 54

1.

57 = 3*19

Because 3 and 19 are both prime, that is the prime factorization.

Final answer: 3*19

2.

54 = 2*27

2 is prime but 27 can still be factored.

54=2*3*9

Again, 9 can still be factored.

54=2*3*3*3

2 and 3 cannot be further factored so that is the prime factorization.

Final answer: 2*3*3*3