Help

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 18
Joined: Wed Dec 22, 2010 11:31 pm

Help

by fr743 » Wed Jun 08, 2011 2:24 am
If z is an integer and z! is divisible by 340, what is the smallest possible value for z?

User avatar
Legendary Member
Posts: 1309
Joined: Mon Apr 04, 2011 5:34 am
Location: India
Thanked: 310 times
Followed by:123 members
GMAT Score:750

by cans » Wed Jun 08, 2011 2:26 am
340=17*2*10
thus for z! to be divisible by 340, z! must have 17
z=17
If my post helped you- let me know by pushing the thanks button ;)

Contact me about long distance tutoring!
[email protected]

Cans!!

Junior | Next Rank: 30 Posts
Posts: 18
Joined: Wed Dec 22, 2010 11:31 pm

by fr743 » Wed Jun 08, 2011 2:34 am
Excause me, but 17 can not be divisible by 340. I think vice versa.

Newbie | Next Rank: 10 Posts
Posts: 7
Joined: Tue Apr 05, 2011 8:12 am

by Sergio. » Wed Jun 08, 2011 2:59 am
I guess z=17!
correct me if I'm wrong pls.

User avatar
Legendary Member
Posts: 1309
Joined: Mon Apr 04, 2011 5:34 am
Location: India
Thanked: 310 times
Followed by:123 members
GMAT Score:750

by cans » Wed Jun 08, 2011 3:21 am
fr743 wrote:Excause me, but 17 can not be divisible by 340. I think vice versa.
17 is not divisible by 340
if z! is to be divisible by 340 (=17*2*10) z! must contain 17.
Thus z must be atleast 17. Because if z<17, z! won't be divisible by 340
If my post helped you- let me know by pushing the thanks button ;)

Contact me about long distance tutoring!
[email protected]

Cans!!

Master | Next Rank: 500 Posts
Posts: 226
Joined: Thu Nov 25, 2010 12:19 am
Thanked: 3 times
Followed by:2 members

by nafiul9090 » Thu Jun 09, 2011 1:29 am
agreed with cans