Last visit was: 14 Sep 2024, 08:19 It is currently 14 Sep 2024, 08:19
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# The value of 12! is closest to:

SORT BY:
Tags:
Show Tags
Hide Tags
Intern
Joined: 19 Jul 2016
Posts: 40
Own Kudos [?]: 97 [58]
Given Kudos: 15
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6803
Own Kudos [?]: 31311 [24]
Given Kudos: 799
General Discussion
Retired Moderator
Joined: 19 Oct 2018
Posts: 1868
Own Kudos [?]: 6849 [1]
Given Kudos: 705
Location: India
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19460
Own Kudos [?]: 23239 [2]
Given Kudos: 286
Location: United States (CA)
Re: The value of 12! is closest to: [#permalink]
1
Kudos
1
Bookmarks
gupta87
The value of 12! is closest to:

A. (10^6)
B. 3(10^7)
C. 5(10^8)
D. 7(10^9)
E. 9(10^11)

12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

We have:

10 x 5 x 2 x 1 = 100 = 10^2

12 x 8 = 96 ≈ 100 = 10^2

11 x 9 = 99 ≈ 100 = 10^2

So we are left with 7 x 6 x 4 x 3, which is 42 x 12 ≈ 500 = 5 x 10^2.

Therefore, 12! ≈ 10^2 x 10^2 x 10^2 x 5 x 10^2 = 5 x 10^8.

LBS Moderator
Joined: 30 Oct 2019
Posts: 827
Own Kudos [?]: 794 [0]
Given Kudos: 1576
Re: The value of 12! is closest to: [#permalink]
The amount of time you will spend to think how you might solve this, might as well just multiply!

Start from 7! = 5040 (that is the one i remember)
8! = 40320
9! = 362880
10! = 3628800 (this one is easy!)
11! = 39916800
12! = 478001600 = 4.7*10^8

Job done.
Non-Human User
Joined: 09 Sep 2013
Posts: 34832
Own Kudos [?]: 878 [0]
Given Kudos: 0
Re: The value of 12! is closest to: [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: The value of 12! is closest to: [#permalink]
Moderator:
Math Expert
95503 posts