### All PSAT Math Resources

## Example Questions

### Example Question #15 : How To Factor A Number

What is the smallest positive multiple of 12?

**Possible Answers:**

**Correct answer:**

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

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

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

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

The smallest multiple of 9 within the given range is .

The largest multiple of 9 within the given range is .

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

### Example Question #31 : Factors / Multiples

**Possible Answers:**

**Correct answer:**

Factor each number into prime roots: