What is an Arithmetic factor?

Definition

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

Introduction

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.

Properties

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.