Last visit was: 15 Dec 2024, 03:11 It is currently 15 Dec 2024, 03:11
Close
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
Your Progress

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.
Close
Request Expert Reply
Confirm Cancel
User avatar
GMATinsight
User avatar
GMAT Club Legend
Joined: 08 Jul 2010
Last visit: 13 Dec 2024
Posts: 6,074
Own Kudos:
Given Kudos: 125
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,074
Kudos: 14,609
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
seevikrant
Joined: 18 Mar 2016
Last visit: 19 Aug 2017
Posts: 1
Posts: 1
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
pratykank
Joined: 06 Jan 2015
Last visit: 17 Jul 2018
Posts: 1
Own Kudos:
6
 []
Given Kudos: 30
Posts: 1
Kudos: 6
 []
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
BrentGMATPrepNow
User avatar
GMAT Club Legend
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,786
Own Kudos:
32,211
 []
Given Kudos: 799
Location: Canada
Expert reply
Posts: 6,786
Kudos: 32,211
 []
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
GMATinsight
What is the biggest number that always divides the product of any three consecutive Integers?

A) 2
B) 3
C) 6
D) 12
E) 24

There's a nice rule says: The product of k consecutive integers is divisible by k, k-1, k-2,...,2, and 1
So, for example, the product of any 5 consecutive integers will be divisible by 5, 4, 3, 2 and 1
Likewise, the product of any 11 consecutive integers will be divisible by 11, 10, 9, . . . 3, 2 and 1
NOTE: the product may be divisible by other numbers as well, but these divisors are guaranteed.

So, we can be certain that the product of any three consecutive integers will be divisible by 3 and by 2, which means any three consecutive integers will ALWAYS be divisible by 6

Answer:
Cheers,
Brent
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 3,023
Own Kudos:
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert reply
Posts: 3,023
Kudos: 7,216
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GMATinsight
What is the biggest number that always divides the product of any three consecutive Integers?

A) 2
B) 3
C) 6
D) 12
E) 24

We may recall the rule that the product of n consecutive integers is divisible by n!. Thus, the product of 3 consecutive integers is divisible by 3! = 6.

If you don’t recall the rule, consider the three consecutive integers 1, 2, 3: their product is 1 x 2 x 3 = 6. Now test the answer choices. The product 6 is divisible by 2, 3, and 6. The greatest of these is 6.

Answer: C
Moderator:
Math Expert
97879 posts