Question

Prove that if a is a factor of b and b is a factor of c, then a is a factor of c

Answer 1

The set of numbers a = 3, b = 6, and c = 9 proves the hypothesis because 3 is a factor of 6 and 3 is a factor of 9. Property 1 states that therefore 3 is a factor of 9 + 3 =12, which we know is true because 3 × 4=12. You can prove that this property is true for all integers if you know what the term factor means.