Question

Check whether 6” can end with the digit 0 for any natural number n.​

Answer 1

Step-by-step explanation:

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

Prime factorisation of 6n = (2 ×3)n

It can be observed that 5 is not in the prime factorisation of 6n.

Hence, for any value of n, 6n will not be divisible by 5.

Therefore, 6n cannot end with the digit 0 for any natural number n.

Answer 2

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If any digit has the last digit 10 that means it divisible by 10.

The factor of 10=2×5,

So value of 6^n should be divisible by 2 and 5.

Both 6^n is divisible by 2 but not divisible by 5.

So, it can not end with 0.