Last visit was: 21 Jun 2024, 07:25 It is currently 21 Jun 2024, 07:25
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.

# How many zeros are the end of ?

SORT BY:
Tags:
Show Tags
Hide Tags
Senior Manager
Joined: 03 Sep 2012
Posts: 356
Own Kudos [?]: 961 [52]
Given Kudos: 47
Location: United States
Concentration: Healthcare, Strategy
GMAT 1: 730 Q48 V42
GPA: 3.88
WE:Medicine and Health (Health Care)
Math Expert
Joined: 02 Sep 2009
Posts: 93944
Own Kudos [?]: 633617 [16]
Given Kudos: 82411
General Discussion
Manager
Joined: 21 Jul 2017
Posts: 152
Own Kudos [?]: 118 [2]
Given Kudos: 143
Location: India
GMAT 1: 660 Q47 V34
GPA: 4
WE:Project Management (Education)
Intern
Joined: 26 Dec 2016
Posts: 26
Own Kudos [?]: 15 [0]
Given Kudos: 84
Re: How many zeros are the end of ? [#permalink]
Math Expert
Joined: 02 Sep 2009
Posts: 93944
Own Kudos [?]: 633617 [2]
Given Kudos: 82411
Re: How many zeros are the end of ? [#permalink]
1
Kudos
1
Bookmarks
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6050
Own Kudos [?]: 4749 [0]
Given Kudos: 463
Location: India
GPA: 3.5
Re: How many zeros are the end of ? [#permalink]
vomhorizon wrote:
How many zeros are at the end of 380! ?

(A) 90
(B) 91
(C) 94
(D) None
(E) 95

In order to find the number of zeros we have to find out the number of 5's and 2's , because no. of 5's will be less then the number of 2's ..

$$\frac{380}{5} = 76$$
$$\frac{76}{5} = 15$$
$$\frac{15}{5} = 3$$

So, the total number of 0's in the end of 380! is 76+15+ 3 = 94 , answer will be (C)
VP
Joined: 29 Oct 2019
Posts: 1362
Own Kudos [?]: 1493 [0]
Given Kudos: 582
Re: How many zeros are the end of ? [#permalink]
Bunuel wrote:
vomhorizon wrote:
How many zeros are the end of 380! ?

(A) 90
(B) 91
(C) 94
(D) None
(E) 95

380! has $$\frac{380}{5}+\frac{380}{5^2}+\frac{380}{5^3}=76+15+3=94$$ trailing zeros ( take only the quotient into account).

Hope it helps.

Is there any good tip to have the result of the division (380/5^2=15) in an easier way?

Thanks for any response.
Director
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 966
Own Kudos [?]: 4993 [0]
Given Kudos: 690
Concentration: Accounting
Re: How many zeros are the end of ? [#permalink]
Top Contributor
vomhorizon wrote:
How many zeros are at the end of 380! ?

(A) 90
(B) 91
(C) 94
(D) None
(E) 95

In order to find the number of zeros we have to find out the number of 5's and 2's , because no. of 5's will be less then the number of 2's ..

The basic formula for that is: $$\frac{380}{5}+\frac{380}{5^2}+\frac{380}{5^3}; 5^4$$is larger than 380.

$$=76+15+3=94$$

Another way, considering the basic formula:
380/5=76
76/5=15
15/5=3

76+15+3=94
LBS Moderator
Joined: 30 Oct 2019
Posts: 831
Own Kudos [?]: 783 [0]
Given Kudos: 1576
Re: How many zeros are the end of ? [#permalink]
$$\frac{380}{5}+\frac{380}{25}+\frac{380}{125}$$
=76+15+3 (not considering the remainders)
=94
Non-Human User
Joined: 09 Sep 2013
Posts: 33645
Own Kudos [?]: 839 [0]
Given Kudos: 0
Re: How many zeros are the end of ? [#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: How many zeros are the end of ? [#permalink]
Moderator:
Math Expert
93944 posts