jannkrisitne26 jannkrisitne26
  • 08-07-2020
  • Mathematics
contestada

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.

Respuesta :

olayemiolakunle65
olayemiolakunle65 olayemiolakunle65
  • 13-07-2020

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.

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