We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

PSAT Math : Factors / Multiples

Study concepts, example questions & explanations for PSAT Math

Create An Account

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #301 : Arithmetic

What is the smallest positive multiple of 12?

Possible Answers:

$\dpi{100} \small 12$

$\dpi{100} \small 0$

$\dpi{100} \small 2$

$\dpi{100} \small 24$

$\dpi{100} \small 6$

Correct answer:

$\dpi{100} \small 12$

Explanation:

Multiples of 12 are found by multiplying 12 by a whole number. Some examples include:

$\dpi{100} \small 12(-2)=-24$

$\dpi{100} \small 12(0)=0$

$\dpi{100} \small 12(1)=12$

Clearly, the smallest positive value obtainable is 12. Do not confuse the term multiple with the term factor!

Report an Error

Example Question #31 : Factors / Multiples

How many prime factors of 210 are greater than 2?

Possible Answers:

one

three

two

four

five

Correct answer:

three

Explanation:

Begin by identifying the prime factors of 210. This can be done easily using a factoring tree (see image).

Vt_p2

The prime factors of 210 are 2, 3, 5 and 7. Of these factors, three of them are greater than 2.

Report an Error

Example Question #32 : Factors / Multiples

How many integers between 50 and 100 are divisible by 9?

Possible Answers:

Correct answer:

Explanation:

The smallest multiple of 9 within the given range is $\inline \dpi{200} \tiny 54 = 9 \times 6$ .

The largest multiple of 9 within the given range is $\dpi{100} {99=9 \times 11}$ .

Counting the numbers from 6 to 11, inclusive, yields 6.

Report an Error

Example Question #31 : Factors / Multiples

$\textup{If }a\textup{ is the greatest prime factor of 34 and }b\textup{ is the greatest}$

$\textup{prime factor of 20, what is the value of }a-b\textup{ ?}$

Possible Answers:

Correct answer:

Explanation:

Factor each number into prime roots:

$34=17\times2$

$20=5\times2\times2$

17-5=12

Report an Error

View PSAT Mathematics Tutors

Dejuan
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Electrical Engineering.

View PSAT Mathematics Tutors

Leonard
Certified Tutor

Florida State University, Bachelor of Science, Environmental Science.

View PSAT Mathematics Tutors

Mohammad
Certified Tutor

Rutgers University-New Brunswick, Bachelor of Science, Mathematics. Rutgers University-New Brunswick, Master of Science, Stat...

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Seattle, LSAT Tutors in San Francisco-Bay Area, MCAT Tutors in Washington DC, Chemistry Tutors in Atlanta, Computer Science Tutors in New York City, Calculus Tutors in Houston, Biology Tutors in Phoenix, SAT Tutors in Los Angeles, SAT Tutors in Atlanta, Biology Tutors in San Francisco-Bay Area

Popular Courses & Classes

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

Popular Test Prep

SSAT Test Prep in New York City, SAT Test Prep in Houston, MCAT Test Prep in San Diego, LSAT Test Prep in San Diego, SSAT Test Prep in Phoenix, SAT Test Prep in Los Angeles, MCAT Test Prep in Los Angeles, LSAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Chicago, SAT 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

PSAT Math : Factors / Multiples

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #301 : Arithmetic

Example Question #31 : Factors / Multiples

Example Question #32 : Factors / Multiples

Example Question #31 : Factors / Multiples

All PSAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: