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Consider the number 4n , where n is a natural number. Check whether there is any value of e N for which 4n ends with the digit zero

Respuesta :

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For the number 4n to end with digit zero for any natural number n, it should be divisible by 5. This means that the prime factorisation of 4n should contain the prime number 5
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ANSWER:

No, [tex] {4}^{n} [/tex] for any value of n cannot end in 0.

STEP-BY-STEP EXPLANATION:

Prime factorisation of 4:

4 = 2 × 2

As seen,

5 is not a prime factor of 4.

Therefore, [tex] {4}^{n} [/tex] for any value of n cannot end in 0.

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