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NO IT CANNOT END WITH THE DIGIT 0 FOR ANY NATURAL NUMBER n
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.
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Answer:
LET IS CONSIDER 6n can end with 0 at unit digit. That means that the prime factorization of 6n must have 2 and 5. But the prime factors of 6n are (2*3)n, so there is no 5. So, 6n can't end with 0 at unit digit, for any natural number "n".
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