Question

Prove that the value of the expression: 165+164 is divisible by 17

Answer 1

Answer:

329 divided by 17 is 19.3529411765 so round it 19.3529 turns in to 19.353

so take that and mutiply it by 17 then you will get 329

Step-by-step explanation:

Answer 2

Answer:

$16^{2} (272)$ is divisible by 17

Proof:

In order to solve this question we will have to factor  $16^{5} + 16^{4}$. We will have to do that as follows.

$16^{5} + 16^{4} = 16^{3} (16^{2} + 16) = 16^{2} (272)$

From here we know the the resulting number will be equal to $16^{2} (272)$ now we will need to know the following property. If "b" is divisible by "c" then "ab" (where a is any integer) will also be divisible by c. In our case one of the factors is 272, and it is divisible by 17, so that means that $16^{2} (272)$ will also be divisible by 17.