We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Quantitative : Factors / Multiples

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

Create An Account

All ISEE Upper Level Quantitative Resources

8 Diagnostic Tests 234 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Numbers And Operations

What is the prime factorization of 16ab^2 ?

Possible Answers:

$2\cdot 2\cdot 2\cdot 2\cdot a\cdot b$

$2\cdot 2\cdot 2\cdot a\cdot b\cdot b$

$2\cdot 2\cdot 2\cdot 2$

$2\cdot 2\cdot 2\cdot 2\cdot 2\cdot a\cdot b\cdot b$

$2\cdot 2\cdot 2\cdot 2\cdot a\cdot b\cdot b$

Correct answer:

$2\cdot 2\cdot 2\cdot 2\cdot a\cdot b\cdot b$

Explanation:

First make a factor tree for 16. Keep breaking it down until you get all prime numbers (for example: $4\times 4$ , which then yields $2\times 2\times 2\times 2$ ). Then, at the end, remember to factor the variables as well. Since the b term is squared, that means there are two of them. Therefore, the final answer is $2\cdot 2\cdot 2\cdot 2\cdot a\cdot b\cdot b$ .

Report an Error

Example Question #22 : Numbers And Operations

Which one is greater?

(a) number of factors of 100

$(b)\ 10$

Possible Answers:

it is not possible to tell based on the information given.

(a) is greater

(b) is greater

(a) and (b) are equal

Correct answer:

(b) is greater

Explanation:

Factors of 100 are:

$1,2,4,5,10,20,25,50\ and\ 100$ . So it has factors which is less than .

Report an Error

Example Question #23 : Numbers And Operations

Which one is greater?

(a) The sum of all of the factors of

$(b)\ 200$

Possible Answers:

(a) and (b) are equal

(a) is greater

it is not possible to tell based on the information given.

(b) is greater

Correct answer:

(b) is greater

Explanation:

Factors of are:

$1,2,3,4,6,8,9,12,18,24,36\ and\ 72$ . So we can write:

1+2+3+4+6+8+9+12+18+24+36+72=195

Report an Error

Example Question #21 : Numbers And Operations

Which one is greater?

(a) The number of factors of 289

(b) The number of factors of 361

Possible Answers:

(a) is greater

It is not possible to tell based on the information given.

(a) and (b) are equal

(b) is greater

Correct answer:

(a) and (b) are equal

Explanation:

289 has only three factors of $1,17\ and\ 289$

and

361 also has three factors of $1,19\ and\ 361$

So the number of their factors are the same

Report an Error

Example Question #25 : Numbers And Operations

Which one is greater?

(a) The number of factors of

(b) The number of factors of

Possible Answers:

It is not possible to tell based on the information given.

(a) is greater

(b) is greater

(a) and (b) are equal

Correct answer:

(a) is greater

Explanation:

The factors of are $1,2,4,5,8,10,16,20,40\ and\ 80$ . So has ten factors.

The factors of are $1,2,5,7,10,14,35\ and\ 70$ . So has eight factors.

So (a) is greater than (b) .

Report an Error

Example Question #21 : Factors / Multiples

If we consider the factors of 169 as a set of numbers, compare the mean and the median of the set.

Possible Answers:

It is not possible to tell based on the information given.

The median is greater

The mean is greater

The mean and the median are equal

Correct answer:

The mean is greater

Explanation:

Factors of 169 are $1,13\ and\ 169$ . So we should compare the mean and the median of the following set of numbers:

$\left \{ 1,13,169\right \}$

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set:

$Mean=\frac{1+13+169}{3}=61$

The median is the middle value of a set of data containing an odd number of values which is in this problem. So the mean is greater than the median.

Report an Error

Example Question #13 : How To Factor A Number

If we consider the factors of as a set of numbers, compare the mean and the range of the set.

Possible Answers:

The mean and the range are equal

The range is greater

It is not possible to tell based on the information given.

The mean is greater

Correct answer:

The range is greater

Explanation:

Factors of are $1,2,3,4,6,8,12\ and\ 24$ . So we should compare the median and the range of the following set of numbers:

$\left \{ 1,2,3,4,6,8,12,24\right \}$

The range is the difference between the lowest and the highest values. So we have:

Range=24-1=23

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set.

$Mean=\frac{1+2+3+4+6+8+12+24}{8}=7.5$

So the range is greater than the mean.

Report an Error

Example Question #23 : Numbers And Operations

If we consider the factors of as a set of numbers, compare the median and the range of the set.

Possible Answers:

The median is greater

It is not possible to tell based on the information given.

The range is greater

The range and the median are equal

Correct answer:

The range is greater

Explanation:

Factors of are $1,2,3,4,6,8,9,12,18,24,36\ and\ 72$ . So we should compare the median and the range of the following set of numbers:

$\left \{ 1,2,3,4,6,8,9,12,18,24,36,72\right \}$

The range is the difference between the lowest and the highest values. So we have:

Range=72-1=71

The median is the average of the two middle values of a set of data with an even number of values:

$Median=\frac{8+9}{2}=8.5$

So the range is greater than the median.

Report an Error

Example Question #29 : Numbers And Operations

Which one is greater?

(a) The sum of the factors of

(b) The sum of the factors of

Possible Answers:

(a) and (b) are equal

It is not possible to tell based on the information given.

(a) is greater

(b) is greater

Correct answer:

(a) is greater

Explanation:

Factors of are: $1,2,3,4,6,8,12 \ and\ 24$

$\Rightarrow Sum\ of\ the \ factors=1+2+3+4+6+8+12+24=60$

Factors of are: $1,2,4,7,14\ and\ 28$

$\Rightarrow Sum \ of\ the\ factors=1+2+4+7+14+28=56$

So (a) is greater than (b)

Report an Error

Example Question #30 : Numbers And Operations

If we consider the factors of as a set of numbers, which one is greater?

(a) The range of the set

(b) Sum of the median and the mean of the set

Possible Answers:

(a) and (b) are equal

(b) is greater

(a) is greater

It is not possible to tell based on the information given.

Correct answer:

(a) is greater

Explanation:

Factors of are $1,3,5,9,15\ and\ 45$ . So we have:

$\left \{ 1,3,5,9,15,45\right \}$

The range is the difference between the lowest and the highest values. So we have:

Range=45-1=44

The mean of a set of data is given by the sum of the data, divided by the total number of values in the set.

$Mean=\frac{1+3+5+9+15+45}{6}=13$

The median is the average of the two middle values of a set of data with an even number of values:

$Median=\frac{5+9}{2}=7$

So we have:

Mean+Median=13+7=20

So (a) is greater than (b)

Report an Error

View Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View Tutors

Ana
Certified Tutor

Grand Canyon University, Bachelors, Education. Grand Canyon University, Masters, Education.

View Tutors

Crystal
Certified Tutor

SUNY at Binghamton, Bachelor of Science, Mechanical Engineering.

All ISEE Upper Level Quantitative Resources

8 Diagnostic Tests 234 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Chemistry Tutors in Dallas Fort Worth, French Tutors in Phoenix, Algebra Tutors in Dallas Fort Worth, GRE Tutors in Philadelphia, Reading Tutors in Miami, LSAT Tutors in Los Angeles, Spanish Tutors in Philadelphia, Math Tutors in Phoenix, SAT Tutors in San Francisco-Bay Area, MCAT Tutors in Denver

Popular Courses & Classes

GMAT Courses & Classes in Chicago, ACT Courses & Classes in Houston, SSAT Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Miami, SSAT Courses & Classes in Philadelphia, ISEE Courses & Classes in San Diego, SAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Philadelphia, Spanish Courses & Classes in San Diego, MCAT Courses & Classes in Los Angeles

Popular Test Prep

ACT Test Prep in San Francisco-Bay Area, GRE Test Prep in Phoenix, GMAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Atlanta, MCAT Test Prep in Denver, SSAT Test Prep in Philadelphia, GRE Test Prep in Philadelphia, SAT Test Prep in Denver, GMAT Test Prep in Philadelphia, SSAT Test Prep in Phoenix

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

ISEE Upper Level Quantitative : Factors / Multiples

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

All ISEE Upper Level Quantitative Resources

Example Questions

Example Question #21 : Numbers And Operations

Example Question #22 : Numbers And Operations

Example Question #23 : Numbers And Operations

Example Question #21 : Numbers And Operations

Example Question #25 : Numbers And Operations

Example Question #21 : Factors / Multiples

Example Question #13 : How To Factor A Number

Example Question #23 : Numbers And Operations

Example Question #29 : Numbers And Operations

Example Question #30 : Numbers And Operations

All ISEE Upper Level Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: