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 remainderβ€”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 4848 have?

Example 2

medium
How many factors does 2424 have? Use its prime factorization.

Example 3

easy
Find the factor pair of 2424 that includes 33.

Example 4

medium
List all factors of 3636.

Example 5

medium
Find a number less than 3030 with exactly 66 factors.

Example 6

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

Example 7

hard
How many factors does 10241024 have?

Example 8

easy
How many factors does 11 have?

Example 9

easy
List all factors of 3636.

Example 10

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

Example 11

hard
Find a number less than 5050 that has the most factors.

Example 12

easy
Is 77 a factor of 4242?

Example 13

medium
Find the common factors of 1818 and 2424.

Example 14

hard
A number has exactly 33 factors. What can we say about its structure?

Example 15

medium
Which of these is NOT a factor of 9090: 5,6,8,95, 6, 8, 9?

Example 16

hard
How many factors of 144144 are perfect squares?

Example 17

easy
Is 66 a factor of 3030?

Example 18

medium
Find the sum of all factors of 2020.

Example 19

easy
List all factor pairs of 3636.

Example 20

easy
List all factor pairs of 2424.