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Showthat12nCannot-end-toath-the-du it |
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Answer» If 12ⁿ ends with 0 then it must have 5 as a factor.But, 12ⁿ=(2×2×3)ⁿ which shows that only 2 and 3 are the prime factors of 12ⁿ.Also, we know from the fundamental theory of arithmetic that the prime factorization of each number is unique.So, 5 is not a factor of 12ⁿ.Hence, 12ⁿ can never end with the digit 0. |
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