#FutureSTEMLeaders - Wiingy's $2400 scholarship for School and College Students

Apply Now


What Are Factors? | How To Find Factor of a Number?

Written by Prerit Jain

Updated on: 12 Aug 2023


1Factors of 12Factors of 23Factors of 34Factors of 45Factors of 56Factors of 67Factors of 78Factors of 89Factors of 910Factors of 1011Factors of 1112Factors of 1213Factors of 1314Factors of 1415Factors of 1516Factors of 1617Factors of 1718Factors of 1819Factors of 1920Factors of 2021Factors of 2122Factors of 2223Factors of 2324Factors of 2425Factors of 2526Factors of 2627Factors of 2728Factors of 2829Factors of 2930Factors of 3031Factors of 3132Factors of 3233Factors of 3334Factors of 3435Factors of 3536Factors of 3637Factors of 3738Factors of 3839Factors of 3940Factors of 4041Factors of 4142Factors of 4243Factors of 4344Factors of 4445Factors of 4546Factors of 4647Factors of 4748Factors of 4849Factors of 4950Factors of 5051Factors of 5152Factors of 5253Factors of 5354Factors of 5455Factors of 5556Factors of 5657Factors of 5758Factors of 5859Factors of 5960Factors of 6061Factors of 6162Factors of 6263Factors of 6364Factors of 6465Factors of 6566Factors of 6667Factors of 6768Factors of 6869Factors of 6970Factors of 7071Factors of 7172Factors of 7273Factors of 7474Factors of 7575Factors of 7676Factors of 7777Factors of 7878Factors of 7979Factors of 8080Factors of 8181Factors of 8282Factors of 8383Factors of 8484Factors of 8585Factors of 8686Factors of 8787Factors of 8888Factors of 8989Factors of 9090Factors of 9191Factors of 9292Factors of 9493Factors of 9694Factors of 9795Factors of 9896Factors of 9997Factors of 10098Factors of 10199Factors of 102100Factors of 103101Factors of 104102Factors of 105103Factors of 106104Factors of 107105Factors of 108106Factors of 109107Factors of 110108Factors of 111109Factors of 112110Factors of 113111Factors of 114112Factors of 115113Factors of 116114Factors of 117115Factors of 118116Factors of 119117Factors of 120118Factors of 122119Factors of 123120Factors of 124121Factors of 125122Factors of 126123Factors of 127124Factors of 128125Factors of 129126Factors of 130127Factors of 131128Factors of 132129Factors of 133130Factors of 134131Factors of 135132Factors of 136133Factors of 137134Factors of 138135Factors of 139136Factors of 140137Factors of 141138Factors of 142139Factors of 143140Factors of 144141Factors of 145142Factors of 146143Factors of 147144Factors of 148145Factors of 149146Factors of 150147Factors of 151148Factors of 152149Factors of 153150Factors of 154151Factors of 155152Factors of 156153Factors of 157154Factors of 158155Factors of 159156Factors of 160157Factors of 161158Factors of 162159Factors of 163160Factors of 167161Factors of 168162Factors of 169163Factors of 170164Factors of 172165Factors of 174166Factors of 176167Factors of 178168Factors of 180169Factors of 182170Factors of 184171Factors of 186172Factors of 188173Factors of 190174Factors of 192175Factors of 194176Factors of 196177Factors of 197178Factors of 200179Factors of 215180Factors of 216181Factors of 415
What Are Factors? | How To Find Factor of a Number?

What Are Factors? | How To Find Factor of a Number?

Factors are one of the most important concepts to know in mathematics. The concept factors are usually introduced to students in Grades 5 or 6. Factors are nothing but positive numbers that can be divided evenly by a number.

There are multiple methods with the help of which we can find factors of a number.

In this article, we will provide you with all the necessary information on how to find the factors of a given number. Scroll down to find out more.

What are Factors in Maths?

Factors are the numbers that fully divide another number with no remainder in mathematics. They are also known as the numbers you multiply to get another number. Therefore, it means that a factor is a divisor of another number.

In simpler words, if we were to understand a factor, it means that once you multiply a factor by two whole numbers, they will give you a product. Furthermore, after the multiplication, they become divisible by-products.

Factors Definition

Factors are numbers that you can use to multiply together with another number to get a different number.

Factors will give you your desired answers after dividing two numbers without a remainder. The fact that a lot of kids forget is that they can be negative or positive, unlike other numbers.

Factor Example

Let’s consider the number 8 and find the factor of 8.

8 as a number is the multiple of 8 and 1, and 4 and 2. So, that leads to the conclusion that 1,2,4,8 is a factor of 8. When it comes to numbers involving factors to be found or solved for problems, you can see that the numbers used for that are often whole numbers, non-fractions, and positive numbers.

You should also remember the general formula, that is, ab as a product has a and b as factors. The same goes for other numbers too. 2 X 3 = 6 means that 6 has 2 and 3 as factors. Moreover, you can also note that there is no remainder left when 6 is divided by 2 or 3.

Factors of Prime and Composite Numbers

Numbers that have 2 factors exactly, such as 1 or the number itself, are prime numbers. Whereas composite numbers are the ones that have more than 2 factors. This means composite numbers can be divided by other numbers other than 1.  

So, in conclusion, the prime factor does not have more than 2 factors, and composite numbers have more than 2 factors. Here is an example:

Properties of a Factor

Here are the properties of the factor:

  • For 1, there is only one factor, which is 1 itself.
  • Every factor has a common factor, which is 1.
  • Natural numbers are factors of their own.
  • Every whole number has 2 or more than 2 factors, except 0 and 1.
  • When the number is given to you, the factor is less or equal to that number.
  • Factors can be found by using multiplication and division.

How to Find the Factor of a Number?

We can find factors of a number using two methods namely – division and multiplication. As said before, you can find factors either by division or multiplication method. Let us see an example of how to find factors for the number 72 using the division and multiplication methods.

Finding the Factors of 8 Using the Division Method

Solution: You have to use numbers that can be divided by 8 with no remainder being left. The numbers less than 8 are 1, 2, 3, 4, 5, 6, and 7. So let us divide the above numbers by 8 and when the remainder is 0, that is a factor and if the remainder is not zero, then it is not a factor of a number.

8 ÷ 1 = 8 (Remainder = 0)
8 ÷ 2 = 4 (Remainder = 0)
8 ÷ 3 = 2 (Remainder = 2)
8 ÷ 4 = 2 (Remainder = 0)
8 ÷ 5 = 1 (Remainder = 3)
8 ÷ 6 = 1 (Remainder = 2)
8 ÷ 7 = 1 (Remainder = 1)

So the factors of 8 are 1, 2, 4, and 8.

Finding Factors of 72 Using the Multiplication Method

Solution: To find the factors of 72 using the Multiplication method, we need to write down the number 72 as the product of other numbers. The steps to find this are given below:

1 × 72 = 722 × 36 = 72
3 × 24 = 724 × 18 = 72
6 × 12 = 728 × 9 = 72
9 × 8 = 7272 × 1 = 72

After seeing this multiplication, we can see that there are repeated numbers, and 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72 are the factors of 72.

Solved Examples

Here are some solved examples of Factors:

Question 1: What are the factors of 24?
Solution: The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24 are the factors. The explanation has been provided in the table below:

1 X 24 = 242 X 12 = 24
3 X 8 = 246 X 4 = 24
4 X 6 = 248 X 3 = 24
12 X 2 = 2424 X 1 = 24.

Question 2: What are the factors of 12?
Solution: The factors of 12 are 1, 2, 3, 4, 6, and 12. We can find factors using the multiplication method as explained in the table below:

1 X 12 = 122 X 6 = 12
3 X 4 = 124 X 3 = 12
6 X 2 = 1212 X 1 = 12

Question 3: What are the factors of 20?
Here, we will have to do it step-by-step.
Step 1: Firstly, we will write every number from 1 to 20.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
Step 2: Now, for step 2, we will see the numbers that are divisible by 20, and they should also leave no reminders.
20/1 = 20 (Remainder = 0)
20/2 = 10 (Remainder = 0)
20/3 = 6 (Remainder = 4)
20/4 = 5 (Remainder = 0)
20/5 = 4 (Remainder = 0)
After doing the same with all the numbers to 20, you will get the answer. The factors are 1, 2, 4, 5, 10, and 20. 


How do you find a factor?
All you have to do is take a number and find a factor. And then see all the numbers that will give the same numbers after being multiplied once.

What are factors and multiples?
There is a minor difference between factors and multiples. When a number divides with another number exactly with no remainder left, it’s a factor. But when a number is multiplied by another number to get a particular number, it is known as a multiple.

What are the factors in math?
Factors are the numbers that give no remainder when divided. They can either be positive or negative. For example, factors of 6 are 1, 2, 3, and 6.

What is the factor in multiplication?
When you multiply two whole numbers to get a product, then the numbers that you multiply are the factors of the product. Because they are divisible products.

What is a factor in algebra?
A number, or an algebraic expression, that you can divide with another number or expression evenly, and if there is no remainder remaining, then it is a factor in algebra.

How do you pronounce factors?
When it comes to pronouncing factors, you just need to say it like this—Fak-tuhz.

What is a multiple in math?
Multiples are important to know when it comes to factors. They come when you have a number you multiply another with, by an integer, and the numbers you get from them are multiple.

What is the factor definition for kids?
When you multiply a number by another number. Then, you get a sum with no remainder. That’s known as factors.

How to easily find the factors of a number?
There is one way to quickly find factors and save your time. All you have to do is divide it by the prime number that’s smallest but bigger than 1, then whatever gets into it with no remainder left evenly, you get a factor. Do this same thing again and again until you end up with just 1.

So, that’s all about factors. We hope that this has helped you.

Calculate Factors of

The Factors are


Written by by

Prerit Jain

Share article on

tutor Pic
tutor Pic