Correct option is B
Given:
Expression: 4⁷ - 4
Solution:
4⁷ - 4 can be written as 4⁷ - 4¹ = 4(4⁶ - 1)
4⁶ - 1 = (4³ + 1)(4³ - 1)
So, 4(4⁶ - 1) = 4(4³ + 1)(4³ - 1)
Factorize 4³ - 1 = (4 - 1)(4² + 4 + 1) = 3 21
And 4³ + 1 = (4 + 1)(4² - 4 + 1) = 5 13
So, 4(4⁶ - 1) = 4 3 5 13 21
From the above factors, we can see that 4⁷ - 4 is a multiple of 4, 3, 5, 13 and 21.
So, 4⁷ - 4 is NOT a multiple of 8. So the correct answer is B.