Respuesta :

A: 5 and 3

B: 7 and 3

C: 19 and 2

D: 2 and 3 and 7

Answer with explanation:

We know that the prime factorization of a number "n" is given by:

[tex]n=p_1\cdot p_2\cdot p_3\cdot p_4[/tex]

where [tex]p_i's[/tex] are distinct prime.

(a)

[tex]15[/tex]

It could be written as:

[tex]15=3\times 5[/tex]

Hence, the prime factors of this number are:

3 and 5.

(b)

21

It could be written as:

[tex]21=3\times 7[/tex]

Hence, the prime factors of this number are:

3 and 7.

(c)

38

It could be written as:

[tex]38=2\times 19[/tex]

Hence, the prime factors of this number are:

2 and 19.

(d)

42

It could be written as:

[tex]42=2\times 3\times 7[/tex]

Hence, the prime factors of this number are:

2 , 3 and 7.