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CBSE Class 10 Answered

can 5 raise to the power n can end with 0 for any natural number
Asked by vikramsingh | 27 May, 2013, 01:37: PM
answered-by-expert Expert Answer

If any number ends with the digit 0, it should be divisible by 10 or in other words its prime factorisation must include primes 2 and 5 both.

Prime factorisation of 5n = 5n , which does not include 2.


Also, by Fundamental Theorem of Arithmetic Prime factorisation of a number is unique. So 2 is not a prime factor of 5n.

Therefore, 5n cannot end with the digit 0 for any natural number n.
Answered by | 27 May, 2013, 03:48: PM
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