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Is 0 (zero) to be considered as a multiple of every number? [#permalink]
03 Nov 2010, 05:45

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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.

Re: Is 0 (zero) to be considered as a multiple of every number? [#permalink]
03 Nov 2010, 06:15

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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.

Re: Is 0 (zero) to be considered as a multiple of every number? [#permalink]
13 Mar 2014, 01:54

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?

Re: Is 0 (zero) to be considered as a multiple of every number? [#permalink]
13 Mar 2014, 02:17

Expert's post

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. _________________

Re: Is 0 (zero) to be considered as a multiple of every number? [#permalink]
05 Sep 2014, 03:16

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.

Is 0 (zero) to be considered as a multiple of every number? [#permalink]
05 Sep 2014, 03:47

Expert's post

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. _________________