Question

Factor 105^2-8^2 into two prime factors. List your answer in descending numerical order. 105^2-8^2= ( ) ( )

Answer 1

the two prime factors is (113) (97)

Explanation:

The computation of the two prime factors is is shown below:

The given expression is

105^2 - 8^2

Here we used the formula i.e.

a^2 - b^2 = (a + b) (a - b)

where,

a = 105

b = 8

Now

= (105 + 8) (105 - 8)

= (113) (97)

Hence, the two prime factors in descending order is (113) (97)