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What is a Factor in Maths: Definition and Examples

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by Erick-Johnson

What is Factor in Mathematics?

In mathematics, a factor is a number or algebraic expression that divides another number or algebraic expression evenly. Factors are usually positive whole numbers, but they can also be negative or fractional. For example, the factors of 12 are -12, – six, – four, three,- two,- one.

Again, the factors of ten are five,- two,- one. The first few prime numbers have only themselves and one as factors: two, three, five and seven. Composite numbers have more than just themselves and one as a factor.

When we factor an equation or polynomial, we are looking for what will divide evenly into each term. In other words, we want to find the values of x that make the equation true. For example, the equation x^+y^=12 has the solutions x=three and y=four because three times three plus four times four equals 12. So, when we factor an equation, we are looking for any numbers that, when multiplied together, equal the number on the other side of the equal sign.


Methods of Finding Factors

There are many different ways to find factors, but some methods are more commonly used than others. One common method is to use a factor tree. This involves breaking down a number into smaller factors until you are left with only prime numbers. Another common method is to use a factor grid. This involves listing out all possible factors for a number and then crossing off the ones that aren’t factors.

Both of these methods can be very helpful when finding all of the factors for a number. However, some other methods can be used as well. For example, you could try using division or trial and error. Ultimately, it doesn’t matter which method you use as long as you can find all of the factors for a number. Instead, experiment with different techniques and see which ones work best for you.

The Importance of Factors in Mathematics

Factors are the basis for many mathematical concepts, from essential addition and subtraction to more advanced topics like algebra and calculus. Without a strong understanding of factors, students will struggle with these concepts.

There are a few reasons why factors are so important. First, they provide a way to break down numbers into smaller parts. This can be helpful when adding or subtracting large numbers or when trying to find common denominators in fractions. Second, understanding how to factor numbers can help students solve equations and systems of equations. Finally, many mathematical formulas involve factors in some way. For example, the area of a rectangle is length times width, and the circumference of a circle is pi times diameter.

So, if you’re struggling with mathematics, take a step back and make sure you have a good understanding of the factors. Once you do, you’ll be surprised at how much easier everything else becomes.

How to Become Good with Factors?

It is essential for students to be good with factors in mathematics. However, many students struggle with this concept. There are several ways to help enrich a student’s understanding and skillset when working with factors. By providing additional opportunities to practice and using creative methods, teachers can help their students become more confident and proficient in this area of mathematics.

Moreover, practising complex exercises from NVQ level 2 maths question papers is also a great mode of practice. Ultimately, becoming good with factors can make a big difference in a student’s mathematical ability and success overall.


Factor in maths are numerical coefficients that are multiplied by another number to get the result. This mathematical term is important for solving equations and problems. In this blog post, we have defined what a factor is and given examples of how it can be used in mathematics. We hope you found this information helpful! If you have any questions, please feel free to reach out to us.


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