Question

select the correct choice below and, if necessary, use the operation symbols in the math palette as n. a. the prime factorization is 78 =. b. the number is prime.

Explanation:

Step1: Prime - factorize 78

We start by dividing 78 by the smallest prime number 2. $78\div2 = 39$. Then we divide 39 by 3 (the next - smallest prime number), $39\div3=13$. And 13 is a prime number. So, $78 = 2\times3\times13$.

Step2: Determine if a number is prime

A prime number has only two distinct positive divisors: 1 and itself. 78 is not a prime number since it has factors other than 1 and 78 (e.g., 2, 3, 13).

Answer:

A. The prime factorization is $78 = 2\times3\times13$