Practice Factors in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Whole numbers that divide evenly into a given number with no remainder—the 'building blocks' that multiply together to make it.

Factors are the 'building blocks' you multiply together to make a number.

Showing a random 20 of 50 problems.

Example 1

medium
How many factor pairs does 48 have?

Example 2

medium
How many factors does 24 have? Use its prime factorization.

Example 3

easy
Find the factor pair of 24 that includes 3.

Example 4

medium
List all factors of 36.

Example 5

medium
Find a number less than 30 with exactly 6 factors.

Example 6

challenge
A number has exactly 3 factors. What kind of number must it be?

Example 7

hard
How many factors does 1024 have?

Example 8

easy
How many factors does 1 have?

Example 9

easy
List all factors of 36.

Example 10

medium
If n is a factor of 18 and also a factor of 27, list all possible n.

Example 11

hard
Find a number less than 50 that has the most factors.

Example 12

easy
Is 7 a factor of 42?

Example 13

medium
Find the common factors of 18 and 24.

Example 14

hard
A number has exactly 3 factors. What can we say about its structure?

Example 15

medium
Which of these is NOT a factor of 90: 5,6,8,9?

Example 16

hard
How many factors of 144 are perfect squares?

Example 17

easy
Is 6 a factor of 30?

Example 18

medium
Find the sum of all factors of 20.

Example 19

easy
List all factor pairs of 36.

Example 20

easy
List all factor pairs of 24.