Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Quantitative : How to factor a number

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 #41 : How To Factor A Number

Which of the following is NOT a factor of $(32\cdot2)$ ?

Possible Answers:

Correct answer:

Explanation:

First, we must solve for $(32\cdot2)=64$

While 64 is divisible by 4, 8, and 16, it is not divisible by 7; therefore, 7 is not a factor of 64 and is thus the correct answer.

Report an Error

Example Question #51 : Numbers And Operations

and are distinct odd primes. Which is the greater quantity?

(a) The number of factors of

(b) The number of factors of M + N

Possible Answers:

(b) is greater

(a) is greater

(a) and (b) are equal

It is impossible to tell which is greater from the information given

Correct answer:

It is impossible to tell which is greater from the information given

Explanation:

Since and are distinct primes, the prime factorization of is $M \cdot N$ ; therefore, the factors of are 1, , , and . There are four factors.

We show that M + N may or may not have more factors by example.

Case 1: M = 3, N = 5 .

Then M+N = 3+5 = 8 , which has four factors: 1, 2, 4, 8.

Case 2: M = 7, N = 5

Then M+N = 7+5 = 12 , which has six factors: 1, 2, 3, 4, 6, 12.

Therefore, we have at least one situation in which and M + N have the same number of factors, and at least one in which M + N has more. The given infomation is insufficient.

Report an Error

Example Question #42 : How To Factor A Number

and are distinct odd primes. Which is the greater quantity?

(a) The number of factors of

(b) The number of factors of $N^{2}$

Possible Answers:

(a) and (b) are equal

It is impossible to tell which is greater from the information given

(b) is greater

(a) is greater

Correct answer:

(a) is greater

Explanation:

Since and are distinct primes, the prime factorization of is $M \cdot N$ ; therefore, the factors of are 1, , , and . There are four factors.

Since is a prime, the prime factorization of $N^{2}$ is $N \cdot N$ ; therefore, the factors of $N^{2}$ are 1, , and $N^{2}$ . There are three factors.

This makes (a) greater.

Report an Error

View Tutors

Ana
Certified Tutor

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

View Tutors

Chase
Certified Tutor

Western Governors University, Bachelor of Science, Mathematics.

View Tutors

Eva
Certified Tutor

Technicka Univerzita Liberec, Bachelor of Education, Education.

All ISEE Upper Level Quantitative Resources

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

Popular Subjects

Math Tutors in Philadelphia, English Tutors in Miami, SAT Tutors in Philadelphia, LSAT Tutors in Washington DC, Algebra Tutors in San Francisco-Bay Area, French Tutors in New York City, Statistics Tutors in San Francisco-Bay Area, Computer Science Tutors in Boston, ISEE Tutors in San Diego, Reading Tutors in New York City

Popular Courses & Classes

ACT Courses & Classes in Boston, GRE Courses & Classes in Los Angeles, SSAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Phoenix, SAT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Miami, ISEE Courses & Classes in New York City, SAT Courses & Classes in Chicago, SAT Courses & Classes in Seattle, ACT Courses & Classes in Miami

Popular Test Prep

MCAT Test Prep in Boston, GRE Test Prep in Washington DC, GRE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Houston, LSAT Test Prep in Washington DC, MCAT Test Prep in Dallas Fort Worth, ACT Test Prep in Miami, ACT Test Prep in Boston, GRE Test Prep in Seattle, SSAT Test Prep in New York City

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 : How to factor a number

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

All ISEE Upper Level Quantitative Resources

Example Questions

Example Question #41 : How To Factor A Number

Example Question #51 : Numbers And Operations

Example Question #42 : How To Factor A Number

All ISEE Upper Level Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: