PSAT Math : Factors / Multiples

Study concepts, example questions & explanations for PSAT Math

varsity tutors app store varsity tutors android store

Example Questions

1 2 4 Next →

Example Question #15 : How To Factor A Number

What is the smallest positive multiple of 12?

Possible Answers:

\dpi{100} \small 6

\dpi{100} \small 0

\dpi{100} \small 2

\dpi{100} \small 24

\dpi{100} \small 12

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!

Example Question #16 : How To Factor A Number

How many prime factors of 210 are greater than 2?

Possible Answers:

five

one

three

two

four

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. 

Example Question #17 : How To Factor A Number

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

Possible Answers:

9

7

6

5

8

Correct answer:

6

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.

Example Question #31 : Factors / Multiples

Possible Answers:

Correct answer:

Explanation:

Factor each number into prime roots:  

1 2 4 Next →
Learning Tools by Varsity Tutors