What is the greatest prime factor of 4^17 - 2^28? A) 2 B) 3 C) 5 D) 7
Answers
Answered by
0
Answer:
D) 7
Step-by-step explanation:
4¹⁷ - 2²⁸
= 4¹⁷ - (2²)¹⁴
= 4¹⁷ - 4¹⁴
= 4¹⁴ ( 4³ - 1)
= 4¹⁴ (64 - 1)
= 4¹⁴ * 63
= 4¹⁴ * 9 * 7.
Thus the greatest prime factor is 7.
Similar questions