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consider the numbers 6n where n …

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consider the numbers 6n where n is a natural number check whether there is any value of n for which 6n ends with the digit 0.

Posted by Saumya Saini 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

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, 6ⁿwill not be divisible by 5.
Therefore, 6ⁿcannot end with the digit 0 for any natural number n.

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CBSE > Class 10 > Mathematics