How to factor a number

Practice Questions

ISEE Upper Level Mathematics Achievement › How to factor a number

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1

Let be the set of all integers such that is divisible by and . How many elements are in ?

2

Let be the set of all integers such that is divisible by three and . How many elements are in ?

3

Add the factors of 19.

4

What are all of the prime factors of 34?

5

What is the prime factorization of 78?

6

What is the sum of all of the factors of 60?

7

Adam fills up $\dpi{100} \frac{3}{4}$ of his glass in $\dpi{100} \frac{1}{2}$ of a minute. What is the total time, in seconds, that it takes him to fill up his entire glass?

8

Add the factors of .

9

Give the prime factorization of 135.

10

How many integers from 51 to 70 inclusive do not have 2, 3, or 5 as a factor?

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