A number of the form 4 n cannot be divisible byA- 10B- 4C- 2D- All the above

The correct option is A 104n = (2 x 2)n = 22n, i.e the only prime factor of: 4n is 2. By Fundamental Theorem of Arithmetic , prime factorisation of a ...

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Standard X

Mathematics

Euclid's Division Lemma

A number of t...

Question

A number of the form 4ⁿ cannot be divisible by

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All the above

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Solution

The correct option is A
10

4ⁿ = (2 x 2)ⁿ = 2²ⁿ, i.e the only prime factor of: 4ⁿ is 2.

By Fundamental Theorem of Arithmetic , prime factorisation of a number is unique , so 5 is not a factor of 4ⁿ.

Therefore 4ⁿ is not divisible by 10

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A number of the form 4n cannot be divisible by

The correct option is A 104n = (2 x 2)n = 22n, i.e the only prime factor of: 4n is 2. By Fundamental Theorem of Arithmetic , prime factorisation of a number is unique , so 5 is not a factor of 4n. Therefore 4n is not divisible by 10

A number of the form 4ⁿ cannot be divisible by

The correct option is A
10

4ⁿ = (2 x 2)ⁿ = 2²ⁿ, i.e the only prime factor of: 4ⁿ is 2.

By Fundamental Theorem of Arithmetic , prime factorisation of a number is unique , so 5 is not a factor of 4ⁿ.

Therefore 4ⁿ is not divisible by 10