May 24 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. May 25 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. May 27 01:00 AM PDT  11:59 PM PDT All GMAT Club Tests are free and open on May 27th for Memorial Day! May 27 10:00 PM PDT  11:00 PM PDT Special savings are here for Magoosh GMAT Prep! Even better  save 20% on the plan of your choice, now through midnight on Tuesday, 5/27 May 30 10:00 PM PDT  11:00 PM PDT Application deadlines are just around the corner, so now’s the time to start studying for the GMAT! Start today and save 25% on your GMAT prep. Valid until May 30th.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 15 Apr 2010
Posts: 149

Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
03 Nov 2010, 06:45
I just got a question on a practice test wrong because I didn't consider 0 (zero) to be a multiple of 5 (or any integer for that matter). So, what's the rule on the GMAT? Do we consider 0 to be a multiple of every number?
_________________
Give [highlight]KUDOS [/highlight] if you like my post.
Always do things which make you feel ALIVE!!!



Math Expert
Joined: 02 Sep 2009
Posts: 55272

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
03 Nov 2010, 07:15
siyer wrote: I just got a question on a practice test wrong because I didn't consider 0 (zero) to be a multiple of 5 (or any integer for that matter). So, what's the rule on the GMAT?
Do we consider 0 to be a multiple of every number? An integer \(a\) is a multiple of an integer \(b\) means that \(\frac{a}{b}=integer\): so, as 0 divided by any integer (except zero itself) yields an integer then yes, zero is a multiple of every integer (except zero itself). Also on GMAT when we are told that \(a\) is divisible by \(b\) (or which is the same: "\(a\) is multiple of \(b\)", or "\(b\) is a factor of \(a\)"), we can say that:1. \(a\) is an integer; 2. \(b\) is an integer; 3. \(\frac{a}{b}=integer\). Hope it helps.
_________________



Senior Manager
Joined: 25 May 2010
Posts: 295
Location: United States
Concentration: Strategy, Finance
GMAT 1: 590 Q47 V25 GMAT 2: 560 Q47 V20 GMAT 3: 600 Q47 V25 GMAT 4: 680 Q49 V34

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
03 Nov 2010, 07:21
Here is very similar information and broad answer. http://www.manhattangmat.com/forums/num ... t4998.html
_________________
"Whether You Think You Can or Can't, You're Right"Henry Ford 680 Debrief600 Debrief590 DebriefMy GMAT Journey



Manager
Joined: 15 Apr 2010
Posts: 149

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
03 Nov 2010, 07:21
Wow!! Thanks guys!
_________________
Give [highlight]KUDOS [/highlight] if you like my post.
Always do things which make you feel ALIVE!!!



Senior Manager
Joined: 25 May 2010
Posts: 295
Location: United States
Concentration: Strategy, Finance
GMAT 1: 590 Q47 V25 GMAT 2: 560 Q47 V20 GMAT 3: 600 Q47 V25 GMAT 4: 680 Q49 V34

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
03 Nov 2010, 07:56
WOW. I got my first KUDOS!!!! Need many to get free tests.
_________________
"Whether You Think You Can or Can't, You're Right"Henry Ford 680 Debrief600 Debrief590 DebriefMy GMAT Journey



Manager
Joined: 09 Nov 2013
Posts: 67

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
13 Mar 2014, 02:54
Bunuel wrote: siyer wrote: I just got a question on a practice test wrong because I didn't consider 0 (zero) to be a multiple of 5 (or any integer for that matter). So, what's the rule on the GMAT?
Do we consider 0 to be a multiple of every number? An integer \(a\) is a multiple of an integer \(b\) means that \(\frac{a}{b}=integer\): so, as 0 divided by any integer (except zero itself) yields an integer then yes, zero is a multiple of every integer (except zero itself). Also on GMAT when we are told that \(a\) is divisible by \(b\) (or which is the same: "\(a\) is multiple of \(b\)", or "\(b\) is a factor of \(a\)"), we can say that:1. \(a\) is an integer; 2. \(b\) is an integer; 3. \(\frac{a}{b}=integer\). Hope it helps. Dear Bunuel, And the first factor of any number(>=0) is 1. am I right? thanks Sid



Math Expert
Joined: 02 Sep 2009
Posts: 55272

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
13 Mar 2014, 03:17
sidpopy wrote: Bunuel wrote: siyer wrote: I just got a question on a practice test wrong because I didn't consider 0 (zero) to be a multiple of 5 (or any integer for that matter). So, what's the rule on the GMAT?
Do we consider 0 to be a multiple of every number? An integer \(a\) is a multiple of an integer \(b\) means that \(\frac{a}{b}=integer\): so, as 0 divided by any integer (except zero itself) yields an integer then yes, zero is a multiple of every integer (except zero itself). Also on GMAT when we are told that \(a\) is divisible by \(b\) (or which is the same: "\(a\) is multiple of \(b\)", or "\(b\) is a factor of \(a\)"), we can say that:1. \(a\) is an integer; 2. \(b\) is an integer; 3. \(\frac{a}{b}=integer\). Hope it helps. Dear Bunuel, And the first factor of any number(>=0) is 1. am I right? thanks Sid Yes, the smallest factor, the smallest positive divisor of any positive integer is 1.
_________________



Intern
Joined: 17 Mar 2014
Posts: 34
Location: India
Concentration: Strategy, Marketing
WE: Medicine and Health (Health Care)

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
05 Sep 2014, 04:16
Bunuel wrote: siyer wrote: I just got a question on a practice test wrong because I didn't consider 0 (zero) to be a multiple of 5 (or any integer for that matter). So, what's the rule on the GMAT?
Do we consider 0 to be a multiple of every number? An integer \(a\) is a multiple of an integer \(b\) means that \(\frac{a}{b}=integer\): so, as 0 divided by any integer (except zero itself) yields an integer then yes, zero is a multiple of every integer (except zero itself). Also on GMAT when we are told that \(a\) is divisible by \(b\) (or which is the same: "\(a\) is multiple of \(b\)", or "\(b\) is a factor of \(a\)"), we can say that:1. \(a\) is an integer; 2. \(b\) is an integer; 3. \(\frac{a}{b}=integer\). Hope it helps. Hi, Then why LCM of two numbers not zero?



Math Expert
Joined: 02 Sep 2009
Posts: 55272

Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
05 Sep 2014, 04:47
tushain wrote: Bunuel wrote: siyer wrote: I just got a question on a practice test wrong because I didn't consider 0 (zero) to be a multiple of 5 (or any integer for that matter). So, what's the rule on the GMAT?
Do we consider 0 to be a multiple of every number? An integer \(a\) is a multiple of an integer \(b\) means that \(\frac{a}{b}=integer\): so, as 0 divided by any integer (except zero itself) yields an integer then yes, zero is a multiple of every integer (except zero itself). Also on GMAT when we are told that \(a\) is divisible by \(b\) (or which is the same: "\(a\) is multiple of \(b\)", or "\(b\) is a factor of \(a\)"), we can say that:1. \(a\) is an integer; 2. \(b\) is an integer; 3. \(\frac{a}{b}=integer\). Hope it helps. Hi, Then why LCM of two numbers not zero? By definition the lowest common multiple of two integers a and b is the smallest positive integer that is a multiple both of a and of b.
_________________



Intern
Joined: 17 Mar 2014
Posts: 34
Location: India
Concentration: Strategy, Marketing
WE: Medicine and Health (Health Care)

Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
05 Sep 2014, 07:16
Quote: By definition the lowest common multiple of two integers a and b is the smallest positive integer that is a multiple both of a and of b. Thanks Bunuel One more doubt: Can LCM, HCF be stated for ve numbers: for eg. what is the LCM of 36,12 or HCF of 12,+36 ?



Senior SC Moderator
Joined: 14 Nov 2016
Posts: 1334
Location: Malaysia

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
14 Feb 2017, 23:54
Bunuel wrote: siyer wrote: I just got a question on a practice test wrong because I didn't consider 0 (zero) to be a multiple of 5 (or any integer for that matter). So, what's the rule on the GMAT?
Do we consider 0 to be a multiple of every number? An integer \(a\) is a multiple of an integer \(b\) means that \(\frac{a}{b}=integer\): so, as 0 divided by any integer (except zero itself) yields an integer then yes, zero is a multiple of every integer (except zero itself). Also on GMAT when we are told that \(a\) is divisible by \(b\) (or which is the same: "\(a\) is multiple of \(b\)", or "\(b\) is a factor of \(a\)"), we can say that:1. \(a\) is an integer; 2. \(b\) is an integer; 3. \(\frac{a}{b}=integer\). Hope it helps. Dear Bunuel, Does zero (0) consider as consecutive even integers? (0)(2)(4)(6)(8)
_________________
"Be challenged at EVERY MOMENT."“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”"Each stage of the journey is crucial to attaining new heights of knowledge."Rules for posting in verbal forum  Please DO NOT post short answer in your post! Advanced Search : https://gmatclub.com/forum/advancedsearch/



Math Expert
Joined: 02 Sep 2009
Posts: 55272

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
15 Feb 2017, 00:33
ziyuenlau wrote: Bunuel wrote: siyer wrote: I just got a question on a practice test wrong because I didn't consider 0 (zero) to be a multiple of 5 (or any integer for that matter). So, what's the rule on the GMAT?
Do we consider 0 to be a multiple of every number? An integer \(a\) is a multiple of an integer \(b\) means that \(\frac{a}{b}=integer\): so, as 0 divided by any integer (except zero itself) yields an integer then yes, zero is a multiple of every integer (except zero itself). Also on GMAT when we are told that \(a\) is divisible by \(b\) (or which is the same: "\(a\) is multiple of \(b\)", or "\(b\) is a factor of \(a\)"), we can say that:1. \(a\) is an integer; 2. \(b\) is an integer; 3. \(\frac{a}{b}=integer\). Hope it helps. Dear Bunuel, Does zero (0) consider as consecutive even integers? (0)(2)(4)(6)(8) 0 is an even integer, so it can be a part of the sequence of even numbers.
_________________



Intern
Joined: 11 Apr 2017
Posts: 7

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
31 Jul 2018, 19:48
Hi Bunuel , A quick one. Suppose a=4.5, b=1.5; a/b would still be an integer. So unless mentioned in the question about the nature of "a" and "b", shouldn't we consider fractions as well for Data Sufficiency questions? Really appreciate your time! Cheers, Sushil



Math Expert
Joined: 02 Sep 2009
Posts: 55272

Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
Show Tags
31 Jul 2018, 20:47
Sushil_Sali15 wrote: Hi Bunuel , A quick one. Suppose a=4.5, b=1.5; a/b would still be an integer. So unless mentioned in the question about the nature of "a" and "b", shouldn't we consider fractions as well for Data Sufficiency questions? Really appreciate your time! Cheers, Sushil Every GMAT divisibility question will tell you in advance that any unknowns represent positive integers (ALL GMAT divisibility questions are limited to positive integers only). So, a proper GMAT question won't tell you that a is divisible by b without saying that a and b are positive integers.
_________________




Re: Is 0 (zero) to be considered as a multiple of every number?
[#permalink]
31 Jul 2018, 20:47






