Factor Finder Game
A factor is a whole number that divides another number evenly, with no remainder. Think of them as the building blocks of a number through multiplication. For example, the factors of 10 are 1, 2, 5, and 10 because you can multiply them together to get 10 (1×10=10 and 2×5=10).
 
To find the factors of a number, systematically test integers starting from 1 to see if they divide the number evenly, creating pairs of factors. Scroll down the page if you need a more detailed explanation.
 
This Factor Finder Game allows you to enter the upper bound of the number to customize the difficulty of the game.
 

Factor Finder

Find all the factors of a given number.

Find factors for numbers up to:

Enable 60-Second Timer

Start Game

Factor Finder

Time: 60

Score: 0 / 0

Find all the factors of:

36

Check Next

Back to Menu

 

How to Play the Factor Finder Game
The game is designed to help you practice your factor finding skills in a fun environment.
Here’s how to play:

1. Find factors for numbers up to: Enter a number to indicate the upper bound of the numbers.
   
2. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
3. Look at the Problem: You’ll see a number at the top of the box. Your goal is to find all the factors of that number.
   
4. Enter Your Answer: Type your answers into the box. Separate each number by a comma. The factors can entered in any order.
   
5. Check Your Work: Click the Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
   
6. Get a New Problem: Click the Next button (or press Enter again) for a new problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
7. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to find the factors of a number
Find Factors of a Number Lesson

1. Start with 1: The number 1 and the number itself are always a factor pair. Write them down.
2. Test whole numbers: Starting with 2, test each whole number to see if it divides your original number evenly.
3. Find the pairs: If a number divides your original number evenly, both the number you’re testing and the result of the division are factors. Write them down as a pair.
4. Stop when they repeat: Continue this process until the numbers you are testing start repeating the factors you have already found. When you get to a number you’ve already listed as a factor, you know you’ve found all the pairs.
    
   

Example: Finding the factors of 30
Let’s find all the factors of the number 30.
Start with 1: The first pair is 1 and 30 (1×30=30).
Test 2: 30÷2=15. So, 2 and 15 are a factor pair.
Test 3: 30÷3=10. So, 3 and 10 are a factor pair.
Test 4: 30÷4 is not an even division (it has a remainder), so 4 is not a factor.
Test 5: 30÷5=6. So, 5 and 6 are a factor pair.
Test 6: You have already found 6 in the previous step, which means you have found all the factors. You can stop here.
The factors of 30, listed in order, are 1, 2, 3, 5, 6, 10, 15, and 30.
Using this method of finding factor pairs is a great way to make sure you don’t miss any.

The video gives a clear, step-by-step approach to walk through the process of finding the factor of a number.

• Show Video

 

Free Factor Games Online
Factor Finder Game	Prime Factorization Game	Greatest Common Factor Game

 

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