Question

select the correct choice below and, if necessary, fill in the (use the operation symbols in the math palette as needed.) a. the prime factorization is 47 = . b. the number is prime.

Explanation:

Step1: Recall prime number definition

A prime number has only two distinct positive divisors: 1 and itself.

Step2: Check divisibility of 47

Test numbers from 2 to $\lfloor\sqrt{47}
floor\approx 6$. 47 is not divisible by 2, 3, 4, 5, 6. So 47 is prime and its prime - factorization is just 47 itself.

Answer:

B. The number is prime.