top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration Why to Join

    Get Free Puzzle Updates

Facebook Login
Site Registration

How many factors of 803661374160 are even numbers?

+1 vote
62 views
How many factors of 803661374160 are even numbers?
posted Feb 1, 2018 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

803661374160 = 73^2 *37^2* 17^1 * 5^1 * 3^4 * 2^4

Any factor of this number should be of the form 73^a * 37^b * 17^c * 5^d * 3^e * 2^f

For the factors of this number to be an even number f should be non 0

a can take values 0, 1, 2,
b can take values 0, 1, 2
c can take values 0, 1
d can take values 0, 1
e can take value 0, 1, 2, 3, 4
f can take value 1, 2, 3, 4

Total number of even factors = 3*3*2*2*5*4= 720

answer Feb 2, 2018 by Yasin Hossain Siinan
Contact Us
+91 9880187415
sales@queryhome.net
support@queryhome.net
#280, 3rd floor, 5th Main
6th Sector, HSR Layout
Bangalore-560102
Karnataka INDIA.
QUERY HOME
...