Check wether 6^n can be end with 0 for any natural no. 'n'
Share
Check wether 6^n can be end with 0 for any natural no. 'n'
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
if any digit has the last digit 0 that means it will divisible by 10.
the factors of 10=2×5
so the value of 6^n should be divisible by 2 and 5.
both 6^n is divisible by 2 but not with 5.
so,it cannot be end with 0.
Step-by-step explanation:
It can be observed that 5 is not in the prime factorisation of 6n. Hence, for any value of n, 6n will not be divisible by 5. Therefore, 6n cannot end with the digit 0 for any natural number n.