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Last updated on May 26th, 2025

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Factors Of 240

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In mathematics, there are lots of numbers that when divided by other numbers leave no remainder, these numbers are called factors. We use it in our vehicles mileage and money handling. Now, we’ll learn what factors are and factors of 240 let us now see.

Factors Of 240 for US Students
Professor Greenline from BrightChamps

Factors Of 240

We can tell if a number has more than 2 factors just by seeing if a number is a prime number or not. As none of the even numbers except 2 are prime numbers, we can tell that 240 has more than 2 factors. Let us find what the factors are.


Negative factors of 240: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -40, -48, -60, -80, -120 and -240.


Prime factors of 240: The prime factors of 240 are 2,3 and 5.


Prime factorization of 240: 2×2×2×2×3×5.


The sum of factors of 240: 1+2+3+4+5+6+8+10+12+15+16+20+24+30+40+48+60+80+120+240= 744
 

Professor Greenline from BrightChamps

How to find the factors of 240

Children use multiple ways to find factors of a number. Let us look at some ways we can use to find the factors of 240.

 

  • Multiplication Method

 

  • Division Method

 

  • Prime Factor and Prime Factorization
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Finding The Factors Of 240 Using Multiplication

In the multiplication method, we find pairs of numbers where the product will be 240. In this process, possible steps will be - 


Step 1: Find all those numbers whose product will be 240.


Step 2: These numbers will be called the factors of 240.


Step 3: Students have to write these pairs of numbers for this method.


List of numbers whose product is 240


240×1= 240


120×2= 240


80×3= 240


60×4= 240


48×5= 240


40×6= 240


30×8= 240


24×10= 240


20×12= 240


16×15= 240

Factors of 240 by multiplication method
So the pair of numbers whose product is 240 are (1,240), (2,120), (3,80), (4,60), (5,48), (6,40), (8,30), (10,24), (12,20) and (15,16).
 

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Finding Factors Using Division Method

For the division method, the process of division will go on until the remainder becomes zero.

Step 1: For the division method, always try the smallest number to start with. It is advisable to start dividing the number by 1, then both the number and 1 will be its factors. Example: 240÷1 = 240.


Step 2: Then check with the next number to see whether the number is divided completely without any remainder. Both divisor and quotient are the factors. Example: 240÷5= 48 and so on.

Factors of 240 by the division method
 

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Prime Factors and Prime Factorization


Prime Factors Of 240: The prime factors of 240 are 2,3 and 7. We find the prime factors of 240 by two ways.


Prime Factorization:  Here we will divide the numbers by the smallest prime number. Till we completely divide the given number. For 240, the steps are like this:


240/5= 48


48/2= 24


24/2= 12


12/2= 6


6/2= 3


3/3= 1


As 3 is a prime number, it is only divisible by 3. Hence, The prime factorization of the number 240 is 2×2×2×2×3×5.
 

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Factor Tree

This is a very easy method because in many ways it’s almost the same as a prime factorization. We will break down huge numbers in this case to get what we call a factor tree.


Step 1: 240 divided by 5 gives us the answer being 48.


Step 2: 48 divided by 2 gives us 24.


Step 3: 24 divided by 2 gives us 12.


Step 4: 12 divided by 2 gives us 6.


Step 5: 6 divided by 2 gives us 3.


Step 6: 3 divided by 3 gives us 1.


Step 7: This can’t be divided any further.
Factors of 240 using factor tree

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Factor Pairs

There are positive and negative factor pairs for a given number. Let us look at these factor pairs.


Positive Factor Pairs: (1,240), (2,120), (3,80), (4,60), (5,48), (6,40), (8,30), (10,24), (12,20) and (15,16).


Negative Factor Pairs:(-1,-240), (-2,-120), (-3,-80), (-4,-60), (-5,-48), (-6,-40), (-8,-30), (-10,-24), (-12,-20) and (-15,-16).
 

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Common mistakes and how to avoid them in the factors of 240

It is very normal to make mistakes when learning to find the factors. Here are the commonly made mistakes by children. Avoid these when practicing!
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Assuming 240 is prime,
 

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One may wrongly assume that the number 240 is prime and stop looking for factors.

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Factors of 240 Examples

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Problem 1

A conference hall has 240 chairs. If each row can hold 12 chairs, how many rows can be set up?

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There can be 20 rows.

Explanation

 240 chairs divided by 12 chairs per row gives 20 rows. So, 12 fits perfectly into 240.
 

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Problem 2

A shop has 240 chocolates and wants to pack them into boxes, each containing 8 chocolates. How many boxes can be made?

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 240 ÷ 8 = 30. The shop can make 30 boxes with 8 chocolates in each.
 

Explanation

Dividing 240 chocolates into boxes of 8 means there will be 30 boxes, with no chocolates left over.
 

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Problem 3

There are 240 candies, and 15 friends want to share them equally. How many candies will each friend get?

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Each friend will get 16 candies.
 

Explanation

 When you divide 240 candies equally among 15 friends, each friend gets 16 candies with no leftovers.
 

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Problem 4

A theater has 240 seats and wants to arrange them in rows of 10. How many rows can be arranged?

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20 customers can be served.
 

Explanation

 The pizza shop has 240 slices. Each customer buys 12 slices. Dividing 240 by 12 gives 20 customers.
 

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FAQs For Factors Of 240

1.What prime factors are for 240?

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2.How many factors does 240 have in total?

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3.Find out what is the smallest factor of 240.

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4.How many factor pairs are there for 240?

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5.How do you find the greatest common factor (GCF) of 240 and 60?

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6.How can children in United States use numbers in everyday life to understand Factors Of 240?

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7.What are some fun ways kids in United States can practice Factors Of 240 with numbers?

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8.What role do numbers and Factors Of 240 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Factors Of 240 skills?

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Professor Greenline from BrightChamps

Glossaries For Factors Of 240

  • Prime Factorization: The process of expressing a number as the product of its prime factors. For instance, the prime factorization of 240 is 24×3×5.

 

  • Greatest Common Factor (GCF): The largest factor that two or more numbers share. For 240 and 60, the GCF is 60.

 

  • Whole Numbers: Non-negative numbers without fractions or decimals, including 0. Examples are 0, 1, 2, 3, etc.

      

Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they unlock a world full of possibilities! Our goal is to support kids throughout the United States in mastering key math skills, such as today’s Factors Of 240, with a special emphasis on understanding factors—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance to buy cool gadgets, understanding numbers builds their confidence for everyday tasks. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in unique ways, we customize our methods to match each child’s style. From the busy streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, bringing it closer to children everywhere. Let’s turn factors into an exciting part of every child’s math adventure!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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