1. state the fundamental theorem of arithmetic:

Question

2. True or False:
a. if p and q are prime number, then p+q is odd
b. if a number is divisible by both 3 and 7 then it is divisible by 21
c. if a number is divisible by 21 then it is divisible by both 3 and 7.

Answer 1

The FTA is that a number N has a unique prime factorization.

#2
(a) 3+5=8
(b) N = 3*7*k = 21k
(c) N = 21k = 3*7*k