1069 Views

How many zeroes are there at the end of 34!^6!


Meenu Agrawal 28th Feb, 2019
Answer (1)
Aaditya 28th Feb, 2019

Hello Aspirant,

  there will be 18 zeros in the result. You can easily caculate it as there are three three zeros in 34!. Using the mathematical identity of powers that is (x^a)^b = x^(a*b). It will make that three zeros to 3*6 = 18 zeros.

  Hence, in the final result we will have total of 18 zeros. For this you do not have to calculate the 34! and then observe the result. A bit of common mathematics can do its trick.

 Good Luck !!!

3 Comments
Comments (3)
28th Feb, 2019
The answer is incorrect....correct answer is 5040
Reply
28th Feb, 2019
Yes, you are correct. Correct answer is 5040 that is 7 * 6!. As there is 7 pairs of 5 and 2.
Reply
28th Feb, 2019
Thanq sir
Reply

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
Amity University-Noida M.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
Amity University-Noida MBA Ad...
Apply
Ranked among top 10 B-Schools in India by multiple publications | Top Recruiters-Google, MicKinsey, Amazon, BCG & many more.
Great Lakes Institute of Mana...
Apply
Globally Recognized by AACSB (US) & AMBA (UK) | 17.8 LPA Avg. CTC for PGPM 2025
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
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