Answer:
p + q + r is 12.
Step-by-step explanation:
Prime factors of a number is the expression of the number in terms of the product of its factors that are prime numbers only.
The prime factor of 686 = 2 x 7 x 7 x 7. Which can be expressed in the form;
p × [tex]q^{r}[/tex] as 2 × [tex]7^{3}[/tex].
So that, p = 2, q = 7 and r = 3.
p + q + r = 2 + 7 + 3
= 12
Therefore, the sum of p, q, and r is 12.