Determine whether each of the following integers is prime or

Determine whether each of the following integers is prime or composite. If composite, find its prime factorization and keep track of the factorization steps with a factor tree:

a. 1,274

b. 7,921

c. 6,561

d. 3,229

e. 11,111

f. 65,537

Solution

a. 1,274 = 2x637

             = 2x3²x7

b. 7,921=

c. 6,561=3x2187

            =3x3x729

            =3x3x3x243

           = 3⁸

d. 3,229=

e. 11,111=

f. 65,537=