Find-prime-factor-of-4-8-3-8-

Question Number 77915 by naka3546 last updated on 12/Jan/20

F i n d p r i m e f a c t o r o f 4^{8} - 3^{8}

Answered by jagoll last updated on 12/Jan/20

4^{8} - 3^{8} = (4^{4} - 3^{4}) (4^{4} + 3^{4})

= (4^{2} - 3^{2}) (4^{2} + 3^{2}) (337)

= (4 - 3) (4 + 3) (25) (337)

= 1 \times 7 \times 5^{2} \times 337

p r i m e f a c t o r : 5, 7, 337

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