Question

The number 686 can be expressed as a product of prime factors in the form p x qr. The value of p+q+r is _________. Work must be shown.

Answer 1

p + q + r is 12.

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 ×
`q^(r)` as 2 ×
`7^(3)`.

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.