Question

State fundamental theorem of arithmetic using this check whether their is any value of n for which 5n end with digit zero

Answer 1

HeY!!!

In number theory, the fundamental theorem of arithmetic also called the unique factorization theorem or the unique-prime-factorization theorem states," every integer greater than 1 either is a prime number itself or can be represented as the product of prime numbers".

5n can only end with digit 0,
If the factorization of 5n is 2 or 5
But, as 5n doesn't have any factorization other than 5 or 5n,
therefore, there is no value on so that 5n will end with digit 0. 

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Answer 2

Step-by-step explanation:

This is the explanation of fundamental theorem of arithmetic