Question

Find the prime factors of 21¹⁰⁹- 21¹⁰⁸

Answer 1

Answer:
Prime factors of 21¹⁰⁹ - 21¹⁰⁸

$\Rightarrow$21¹⁰⁸ ( 21¹ - 1 )

$\Rightarrow$ 21¹⁰⁸ ( 21 - 1 )

$\Rightarrow$ 21¹⁰⁸ ( 20)

$\Rightarrow$ 21¹⁰⁸ ( 2 $\times$ 2 $\times$ 5)

$\Rightarrow$ (3 $\times$ 7 )¹⁰⁸ $\times$ 2 $\times$ 2 $\times$ 5

$\Rightarrow$ 3¹⁰⁸ $\times$ 7¹⁰⁸ $\times$ 2 $\times$ 2 $\times$ 5 ( Ans )