Number System

We are given that the product of two integers is 289. Hence, let

x

and

y

be the two integers such that:

x%20%5Ccdot%20y%20%3D%20289

Since

289%20%3D%2017%5E2

, the possible pairs of factors are:

(1%2C%20289)%2C%20(17%2C%2017)

Now, compute the sum for each pair:
- For

(1%2C%20289)

, the sum is

1%20%2B%20289%20%3D%20290

.
- For

(17%2C%2017)

, the sum is

17%20%2B%2017%20%3D%2034

.
Thus, the pair

(17%2C%2017)

has the least sum.

Chapter Questions
1 MCQs