0

Guest

Courses New

Find the remainder when 2 2013 is divided by 17.

Find the remainder when 22013  is divided by 17. 

Grade:12

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
9 years ago
Hi,

Wirte 22013 as 2(17-1)503
Now write the binomial expansion of this term, you will see that the last term containing 170 is the suspicious term. Rest all will be divisible as they have powers of 17.
But if this term is negetive, look at the second last term.

Combine thoes two terms numerically and divide by 17 and then analyze the remainder.
Dont forget to take the 2 written outside the expanison.

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More