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

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

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New post 15 May 2012, 10:33
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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
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Re: Prime factors , length of an Integer  [#permalink]

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New post 15 May 2012, 10:45
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+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.
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Re: The “length of integer x” refers to the number of prime  [#permalink]

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New post 16 May 2012, 02:24
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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.

Answer: B.
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Re: The “length of integer x” refers to the number of prime  [#permalink]

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New post 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.

Answer: B.


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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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: The “length of integer x” refers to the number of prime  [#permalink]

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New post 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.

Answer: B.


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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Re: The “length of integer x” refers to the number of prime  [#permalink]

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New post 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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Re: The “length of integer x” refers to the number of prime  [#permalink]

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New post 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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New post 25 Sep 2018, 19:38
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Re: The “length of integer x” refers to the number of prime &nbs [#permalink] 25 Sep 2018, 19:38
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