- What is the last digit of 2^2015 ?
FathimafarhaniBegginer ( Level 6 )
Sign Up to our MetaHub questions and Answers Engine to ask questions, answer members' questions, and connect with other teachers & members.
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
If you check the powers of 2 such as 2,4,8,16,32,64,128,256,…, you can find the pattern of the last digit 2,4,8,6,2,4,8,6,… which has a repeated sequence of period of 4 . Now you can divide the power by 4 and if it gives remainder as 1 last digit is 2 , if the remainder is 2 last digit is 4 , if the remainder is 3 last digit is 8 and if the remainder is 0 last digit is 6.
In your case the power 2015 divided by 4 gives remainder 3 . Therefore last digit should be 8. Hope this way may be helpful to solve your problem.