(2^2013)when divided by 17, the remainder is?

Asked by Last Modified  

9 Answers

Follow 2
Answer

Please enter your answer

Ashok Kumar Sarvepalli

16-Year Experienced Software Architect | Expert in Mentoring & Training Students and Professionals

First find the number of cyles for each number. That is 2^1 is 2 , 2^2 is 4 2^3 is 8 2^4 is 16 (6 is the unit digit) 2^5 is 32 ( 2 is the unit digit). So the cycle for the last digitis is ( 2, 4, 8, 6) so for 2^2013 can be written as 2^2012 * 2 = 2^4^504 = 16^504 so it is (16^504 * 2) /17 so (16*16*16*....504...
read more
First find the number of cyles for each number. That is 2^1 is 2 , 2^2 is 4 2^3 is 8 2^4 is 16 (6 is the unit digit) 2^5 is 32 ( 2 is the unit digit). So the cycle for the last digitis is ( 2, 4, 8, 6) so for 2^2013 can be written as 2^2012 * 2 = 2^4^504 = 16^504 so it is (16^504 * 2) /17 so (16*16*16*....504 times) * 2/17 = 16 divided by 17 is -1 so -1 * -1 * -1...504 times gives 1 so 1 * 2 = 2 read less
Comments
Dislike Bookmark

Tutor

Remainder is 15.
Comments
Dislike Bookmark

Home Tutor

The required remainder will be 15.
Comments
Dislike Bookmark

B.Tech, Spoken English, EEC, MATLAB, CET Coaching Tutor with 20 years of experience

13
Comments
Dislike Bookmark

engineer

2
Comments
Dislike Bookmark

Teaching is my passion!!!!

15
Comments
Dislike Bookmark

Maths wizard

wrongly explain...when a term is like this ( 16*16*16......504 time)/17 .how can all sixteen's can be divided by only one seventeen..............though the answer is write but it could be better expressed by exponential theorem.
Comments
Dislike Bookmark

Teaching is my passion!!!!

2
Comments
Dislike Bookmark

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

2
Comments
Dislike Bookmark

View 7 more Answers

Related Questions

hi all...which sites gives you good scope in online tutoring jobs
urbanpro.com
Anitha S.
Dear friends I want to start online teaching. Any one can help me, right now I am fresher in online teaching.
See videos on youtube.
RAKESH MISHRA
2 0
8
Differentiate between homogeneous and heterogeneous mixtures with examples.
The terms heterogeneous and homogeneous refer to mixtures of materials in chemistry. The difference between heterogeneous and homogeneous mixtures is the degree at which the materials are mixed together...
Divya
0 0
5
Is human resource an artificial resource?
Man made resources are things made by man from natural resources and human resources are those created by man from natural resources
Sumit
Why there is standardisation mark on every products whether it is electronics, jewellery and food products?
It refers to the quality of product. It is helpful in identifying the best one by customers Eg 916 hallmark in gold.
Jitendra
0 0
6

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Common Repeating Decimals and Their Equivalent Fractions
RepeatingDecimal EquivalentFraction 0.3333... 1/3 0.6666... 2/3 0.1666... 1/6 0.8333... 5/6 0.1111... 1/9 0.2222... 2/9 0.4444... 4/9 0.5555... 5/9 0.7777... 7/9 0.8...
A

Amrtha S.

0 0
0
For 9th std and 10th std CBSE students
Tips For Maths: 1. Prepare well from NCERT text book fully and workout more sums both examples and exercise sums from R.D Sharma. 2. Before the exam work out atleast 5 sample papers to know your time...

Roslin R.

1 0
0
Language Acquisition Is No Puberty.
Language acquisition is no puberty. Chomsky introduced the distinction between competence and performance.Chomsky’s model primarily centered around the existence...

Readmyscript Outreach Program

0 0
0
Important Of Co-ordinate Geometry
1. We require two perpendicular axes to locate a point in the plane. One of them is horizontal and other is Vertical. 2. The plane is called Cartesian plane and axis are called the coordinates axis. 3....

Rahul G.

0 0
0
Degree Of A Polynomial
look at the polynomial p(x) = 3x7 – 4x6 + x + 9. What is the term with the highest power of x ? It is 3x7. The exponent of x in this term is 7. Similarly, in the polynomial q(y) = 5y6 – 4y2...

Vijaya Kumar Jayanthi

1 0
0

Recommended Articles

Quest Academy - Institute of the month

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Find Grade 10 Tuition near you
Grade 10 Tuition in Delhi
Grade 10 Tuition in Bangalore
Grade 10 Tuition in Hyderabad
Grade 10 Tuition in Kolkata
Grade 10 Tuition in Chennai
Grade 10 Tuition in Mumbai
Grade 10 Tuition in Pune
Grade 10 Tuition in Noida
Grade 10 Tuition in Lucknow
Grade 10 Tuition in Gurgaon
Online Tuition Class 10

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you