Answer :
Answer:
[tex]\textsf{A.}\;\; 3 \times 7 \times 7[/tex]
Step-by-step explanation:
Prime factorization is the process of expressing a natural number as the product of its prime factors.
To find the prime factors of a number, we divide the number successively by prime numbers, starting from the smallest prime number, until we reach 1.
Prime factorization of 147
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, ...
We cannot divide 147 by the smallest prime number, 2, since 147 is not even. Therefore, we move on to dividing by the next prime number, 3:
[tex]147 \div 3 = 49[/tex]
Since 49 is not divisible by the prime numbers 3 or 5, we move on to dividing it by the next prime number which is 7:
[tex]49 \div 7 = 7[/tex]
Finally, we divide 7 by 7:
[tex]7 \div 7 = 1[/tex]
The number of times we divide by a prime number determines how many times it appears in the prime factorization. Since we divided by 3 once and by 7 twice, the prime factorization of 147 is:
[tex]147 = \boxed{3 \times 7 \times 7}[/tex]
