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Question:

Consider the number 5n where n is a natural number. Check whether there is any value of n for which 5n ends with the digit zero.

Answer:

If any number ends with the digit 0, it should be divisible by 10 or in other words,

it will also be divisible by 2 and 5 as 10 = 2 * 5

It can be observed that 2 is not in the prime factorisation of 5n

Hence, for any value of n, 5n will not be divisible by 2.

Therefore, 5n cannot end with the digit 0 for any natural number n.

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