Home » Which of the following is NOT a factor of 12(^{4}) – 5(^{4})?

Which of the following is NOT a factor of 12(^{4}) – 5(^{4})?

Which of the following is NOT a factor of 12(^{4}) – 5(^{4})?

  • A.
    7
  • B.
    13
  • C.
    17
  • D.
    49
  • E.
    169
Correct Answer: Option D
Explanation

124 – 54 = (122)2 – (52)2
= (122 + 52) x (122 – 52)
(144 + 25)(144 – 25)
= (169)(119)
Factors of above 169, 17, 13, 7