707 Views

"How many integers exist such that not only are they multiples of 904 to the Power 2008 but also are factors of 904 to the power 2015 ?"


Nitesh 15th Dec, 2017
Answer (1)
Ayush Vij 12th Mar, 2018

Hi!

lets understand with first term. 904^2015 is a factor of itself and you need to multiply 904^2008 by 904^7  to achieve that. Similarly you can do it for the second term and hence you'll be able to get it for the nth term. Then you can finally solve it considering it as an infinite series and get 'n' in the end

B.Tech/B.Arch Admissions OPEN

Apply to Amity University-Noida B.Tech Admissions 2026

JEE Main 2026: Preparation Tips & Study Plan

Download the JEE Main 2026 Preparation Tips PDF to boost your exam strategy. Get expert insights on managing study material, focusing on key topics and high-weightage chapters.

Download EBook

Know More About

Related Questions

Amity University-Noida B.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
VIT - VITEEE 2026
Apply
National level exam conducted by VIT University, Vellore | Ranked #16 by NIRF for Engg. | NAAC A++ Accredited
Amrita University B.Tech 2026
Apply
Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships | Application Deadline: 15th Jan
RV University, Bangalore | B....
Apply
World-class and highly qualified engineering faculty. High-quality global education at an affordable cost
UPES B.Tech Admissions 2026
Apply
Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements
Jain University B.Tech Admiss...
Apply
100% Placement Record | Highest CTC 54 LPA | NAAC A++ Accredited | Ranked #62 in India by NIRF Ranking 2025 | JEE & JET Scores Accepted
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books