#### Answer

a) 3⋅13
b) $3^4$
c) prime
d) 11⋅13
e) 17⋅7
f) 29⋅31

#### Work Step by Step

To find the prime factorization of these integers, we proceed methodically through the integers using divisibility tests to inform which numbers we check as factors.
a) 39=3⋅13
b) $81=9^2=3^4$
c) 101 is prime
d) 143=11⋅13
e) 289=17⋅7
f) 899=29⋅13