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Question:

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

Solution:

If any digit has the last digit 0, that means it is divisible by 10. The factors of 10 are 2 × 5. So the value of 6n should be divisible by both 2 and 5. 6n is divisible by 2 but not divisible by 5. So, it cannot end with 0.