Question

a. the prime - factorization is 44 =. (use the operation symbols in the math palette as needed.) b. the number is prime.

Explanation:

Step1: Prime - factorize 44

We start by dividing 44 by the smallest prime number 2. $44\div2 = 22$, then $22\div2=11$. So, $44 = 2\times2\times11=2^{2}\times11$.

Step2: Check if 44 is prime

A prime number has only two distinct positive divisors: 1 and itself. Since $44=2\times22 = 4\times11$, 44 is not prime.

Answer:

A. The prime - factorization is $44 = 2^{2}\times11$