Factors of 2 – Factors Pairs and Prime Factors

Factors of 2

The first even prime number is 2 in numbers. In addition to the said fact, if we multiply 2 by itself, it is the only number that gives the same result, that is 4. 

In this discussion, you will learn that 2 is the multiple of all even numbers. 2 can have positive and negative factors. For a better understanding, let’s calculate the factors of 2, prime factors of 2, and factors of 2 in pairs.

Factors of 2

Factors of 2 : 1 and 2.

Prime Factorization of 2 : 2

What Are the Factors of 2?

Factors of 2 on multiplying give the result 2.

1 and 2 are the only factors of 2.

You can see that 

-1 × -2 = 2

As the product of any two negative numbers is a positive number, (-1, -2) are also factors of 2.

Factors of -2

When we multiply two numbers to get the product -2, it comes the following:

-1 x  2 =  -2

 1 x -2 =  -2

Therefore,  we have two possible pairs of factors of -2 as ( -1 x  2 ) and (1 x -2 ). 

Explore factors using illustrations and interactive examples

Factors of 20

(1, 2, 4, 5, 10, 20). We have 1, 2, 4, 5, 10, and 20 as the factors of 20.

Factors of 24

(1, 2, 3, 4, 6, 8, 12, 24). We have 1, 2, 3, 4, 6, 8, 12, and 24.

Factors of 1

1. We know that 1 has only one factor, i.e. 1.

Factors of 200

(1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200). We have 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.

How to Calculate the Factors of 2?

Let’s look at how to calculate factors of 2.

  • Write down the number that needs to be factored. Let’s say it’s 2.
  • Find the two numbers whose product is 2.
  • We have 1 x 2 = 2
  • Therefore, 1 and 2 are the factors.

Factors of 2 by Prime Factorization

The factor of 2 by prime factorization of 2 is 2.

2 is the only prime number that is an even number. Yes, it is the first even and prime digit. It has only two factors, 1 and 2.

Factors of 2 in Pairs

The pair factors of 2 are (1,2).

A pair factor can also be negative because any two negative numbers together can give a positive number.

  1 x  2 =  2

-1 x -2 =  2

So, we have two pairs, (1, 2) and ( -1, -2). The first one is positive pair and the second one is negative pair as the factors of 2. 

Tips and Tricks

  • Except for 1, every number has at least two factors, namely 1 and the number itself.
  • Even numbers have always at least one factor 2 in common.

FAQs

What is the factor pair of 2?

It is (1, 2). That is a pair of positive factors, and similarly, (-1, -2) is a negative pair. Both bring 2 by multiplying each other. 

What are the factor pair of 2 and 8?

A factor pair of 2 consists of (1, 2).

Factor pair 8 consists of (2, 4) and (1,8).

What are the factors of 2 and 5?

factors of 2: 1 and 2.

factors of 5: 1 and 5.

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