Math Doubts

What is an Arithmetic factor?


A number that is being multiplied by another number in a product is called a factor in arithmetic.


Two or more real numbers are multiplied together to find their product. Now, every multiplying number is called a factor. In arithmetic, the factors are in number form in the product. Hence, every factor can be called an arithmetic factor.

Let’s understand the concept of factors from an arithmetic example.

$2 \times 5 \times 7$

The numbers $2$, $5$ and $7$ are three real numbers and they involved in multiplication to represent their product.

  1. The number $2$ is called a factor.
  2. The number $5$ is called a factor.
  3. The number $7$ is also called a factor.

It means, every number that involved in multiplication while finding the product of numbers is called a factor.

Now, let’s learn the concept of a factor further in arithmetic.

$3 \times 4 \,=\, 12$

The real numbers $3$ and $4$ are involved in multiplication and their product is equal to $12$.

  1. The number $3$ is called a factor and the number $4$ is also called a factor.
  2. The product of the numbers $3$ and $4$ is $12$. So, the numbers $3$ and $4$ are called the factors of number $12$.

You clearly understood the concept of the factors in arithmetic. Let’s discuss the concept of factors to understand further.


The number $6$ is a real number and it can be written as $1 \times 6$

  1. The number $1$ is a factor of every number.
  2. The number $6$ is a factor. So, every number is factor of itself naturally.
Math Doubts

A best free mathematics education website that helps students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

A math help place with list of solved problems with answers and worksheets on every concept for your practice.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved