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Question

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

A
Yes
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B
No
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C
Ambiguous
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D
Data insufficient
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Solution

## The correct option is B NoFor 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.But it is not possible because 4n=(2)2n so 2 is the only prime in the factorisation of 4n. Since 5 is not present in the prime factorization, so there is no natural number n for which 4n ends with the digit zero.

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