BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

prime factor of 899 is x

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760
by sanju09 » Tue Jul 27, 2010 12:53 am
The smallest prime factor of 899 is x. Which of the following is true of x?
a. 1 < x ≤ 7
b. 7 < x ≤ 14
c. 14 < x ≤ 21
d. 21 < x ≤ 28
e. 28 < x ≤ 35

[spoiler]Source: Manhattan GMAT Challenge Problem of the Week - 25 May 2010[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 2326
Joined: Mon Jul 28, 2008 3:54 amFollowed by: 2 members
Thanked: 173 times
GMAT Score:710

by gmatmachoman » Tue Jul 27, 2010 1:23 am
sanju09 wrote:The smallest prime factor of 899 is x. Which of the following is true of x?
a. 1 < x ≤ 7
b. 7 < x ≤ 14
c. 14 < x ≤ 21
d. 21 < x ≤ 28
e. 28 < x ≤ 35

[spoiler]Source: Manhattan GMAT Challenge Problem of the Week - 25 May 2010[/spoiler]
899 = 29 *31

Pick E
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Tue Jul 27, 2010 1:30 am
gmatmachoman wrote:
sanju09 wrote:The smallest prime factor of 899 is x. Which of the following is true of x?
a. 1 < x ≤ 7
b. 7 < x ≤ 14
c. 14 < x ≤ 21
d. 21 < x ≤ 28
e. 28 < x ≤ 35

[spoiler]Source: Manhattan GMAT Challenge Problem of the Week - 25 May 2010[/spoiler]
899 = 29 *31

Pick E
Hi Govind,

How quickly can one identify that 899 is not divisible by a prime less than 29? Would you suggest "trial and error" way or what went through your mind?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 2326
Joined: Mon Jul 28, 2008 3:54 amFollowed by: 2 members
Thanked: 173 times
GMAT Score:710

by gmatmachoman » Tue Jul 27, 2010 1:38 am
I generally find the square root of the number and find the closest prime number and look in to the options

In our case : X = 899

VX (sqrt X)is equivalent to 30. Look for prime numbers near to 30...Say 29 ,31 is there. SO do the math from there on


Another example : X = 400

VX = 20

5*(2 ^2)*5*(2^2). Pick 2 as smallest prime number.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 613
Joined: Thu Mar 22, 2007 6:17 amFollowed by: 64 members
Location: madrid
Thanked: 171 times
GMAT Score:790

by kevincanspain » Tue Jul 27, 2010 1:44 am
gmatmachoman wrote:
sanju09 wrote:The smallest prime factor of 899 is x. Which of the following is true of x?
a. 1 < x ≤ 7
b. 7 < x ≤ 14
c. 14 < x ≤ 21
d. 21 < x ≤ 28
e. 28 < x ≤ 35

[spoiler]Source: Manhattan GMAT Challenge Problem of the Week - 25 May 2010[/spoiler]
899 = 29 *31

Pick E
It's good to realize that 900 is a perfect square, and thus 899 = 30^2 - 1^2 = 31 * 29
Kevin Armstrong
GMAT Instructor
Gmatclasses
Madrid
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Tue Jul 27, 2010 1:49 am
kevincanspain wrote:
gmatmachoman wrote:
sanju09 wrote:The smallest prime factor of 899 is x. Which of the following is true of x?
a. 1 < x ≤ 7
b. 7 < x ≤ 14
c. 14 < x ≤ 21
d. 21 < x ≤ 28
e. 28 < x ≤ 35

[spoiler]Source: Manhattan GMAT Challenge Problem of the Week - 25 May 2010[/spoiler]
899 = 29 *31

Pick E
It's good to realize that 900 is a perfect square, and thus 899 = 30^2 - 1^2 = 31 * 29
That's brilliant only after realizing a nearby perfect square that could work like that, thanks Govind and kevincanspain for such useful inputs.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1