Question

Check whether 5n can end with the digit 0 for any natural number n.

Answer 1

Answer:

Step-by-step explanation:

if the number 5n,for any n were to end with the digit zero then it would be dividable by 2 and 5 that is the prime factorization of 5n would contain the prime 2 this is not possible because 5n so only primes in the factorization of 5n is 5 only .

therefore there is no natural number n for which 5n ends with digit zero.

Answer 2

Explaination :-

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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