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# The “length of integer x” refers to the number of prime

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Manager
Joined: 18 Oct 2010
Posts: 71
The “length of integer x” refers to the number of prime  [#permalink]

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15 May 2012, 10:33
1
17
00:00

Difficulty:

35% (medium)

Question Stats:

63% (01:12) correct 37% (01:54) wrong based on 301 sessions

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The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?

A. 13
B. 10
C. 9
D. 7
E. 6
Manager
Joined: 05 Dec 2011
Posts: 72
Concentration: Accounting, Finance
GMAT Date: 09-08-2012
GPA: 3
Re: Prime factors , length of an Integer  [#permalink]

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15 May 2012, 10:45
3
1
+B

I would just notice that 2^10 is 1024 and 2 is the smallest number so take it to the largest exponent.

Can also list out to verify took 15 seconds.
Math Expert
Joined: 02 Sep 2009
Posts: 59623
Re: The “length of integer x” refers to the number of prime  [#permalink]

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16 May 2012, 02:24
1
Joy111 wrote:
The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?

A. 13
B. 10
C. 9
D. 7
E. 6

To maximize the length of z we should minimize its prime base. The smallest prime is 2 and since 2^10=1,024<1,080 then the greatest possible length of integer z is 10.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 59623
Re: The “length of integer x” refers to the number of prime  [#permalink]

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11 Oct 2013, 03:17
Bunuel wrote:
Joy111 wrote:
The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?

A. 13
B. 10
C. 9
D. 7
E. 6

To maximize the length of z we should minimize its prime base. The smallest prime is 2 and since 2^10=1,024<1,080 then the greatest possible length of integer z is 10.

Check similar questions to practice:
for-any-integer-k-1-the-term-length-of-an-integer-108124.html
for-any-positive-integer-n-the-length-of-n-is-defined-as-126740.html
for-any-positive-integer-n-n-1-the-length-of-n-is-the-126368.html
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Manager
Joined: 26 Sep 2013
Posts: 182
Concentration: Finance, Economics
GMAT 1: 670 Q39 V41
GMAT 2: 730 Q49 V41
Re: The “length of integer x” refers to the number of prime  [#permalink]

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14 Oct 2013, 17:43
Bunuel wrote:
Bunuel wrote:
Joy111 wrote:
The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?

A. 13
B. 10
C. 9
D. 7
E. 6

To maximize the length of z we should minimize its prime base. The smallest prime is 2 and since 2^10=1,024<1,080 then the greatest possible length of integer z is 10.

Check similar questions to practice:
for-any-integer-k-1-the-term-length-of-an-integer-108124.html
for-any-positive-integer-n-the-length-of-n-is-defined-as-126740.html
for-any-positive-integer-n-n-1-the-length-of-n-is-the-126368.html

I keep doing poorly on the Number Property type questions, because I do not know a lot of the rules, is there a resource available for help with this? I looked in the GMAT Club Math Book, but I need more help.
Director
Joined: 23 Jan 2013
Posts: 522
Schools: Cambridge'16
Re: The “length of integer x” refers to the number of prime  [#permalink]

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16 Jan 2015, 03:12
concentrated on 1080 and lost time)

Idea is looking for degree of smallest prime number which is 2^10=1024

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Board of Directors
Joined: 17 Jul 2014
Posts: 2491
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: The “length of integer x” refers to the number of prime  [#permalink]

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16 Oct 2016, 14:37
i started with the similar approach...
2x2x2x2x2x2x2x2x2x2 or 2^10 = 1024
maximum possible.
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Re: The “length of integer x” refers to the number of prime  [#permalink]

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07 Nov 2019, 08:18
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Re: The “length of integer x” refers to the number of prime   [#permalink] 07 Nov 2019, 08:18
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