Question

What is prime factor of 4 raised power of2020+4 raised power of 2021+4 raised to the power of 2022+ 4 raised power of 2023 ?

Answer 1

Answer:

because 4 is The even number

Answer 2

Given : 4²⁰²⁰ + 4²⁰²¹ + 4²⁰²² + 4²⁰²³

To Find : Prime factors

Solution:

4²⁰²⁰ + 4²⁰²¹ + 4²⁰²² + 4²⁰²³

= 4²⁰²⁰(1 + 4 + 4² + 4³)

=  4²⁰²⁰(1 + 4 + 16 + 64)

=  4²⁰²⁰(85)

= 4²⁰²⁰(5 x 17 )

= (2²)²⁰²⁰(5 x 17 )

= 2⁴⁰⁴⁰(5 x 17 )

Prime factorization =  2⁴⁰⁴⁰ x 5 x 17

Prime factors are 2 , 5 & 17

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