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

Apply Now

Factors

Factors of 2 | Prime Factorization of 2 | Factor Tree of 2

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

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
Factors of 2 | Prime Factorization of 2 | Factor Tree of 2

Factors of 2 | Prime Factorization of 2 | Factor Tree of 2

Factors of 2: The numbers that are completely divisible by 2 without leaving any remainder are the numbers known as factors of 2. In other words, if two numbers are multiplied and their result comes out to be 2, those numbers are factors of 2. Since 2 is a prime number, it has only two factors, with 2 being the highest factor of the number 2.

In this article, we will discuss the factors of 2, how to find them, prime factorization, and the factor tree of 2, along with some solved examples.

What Are the Factors of 2?

The factors of 2 can be defined as the numbers which are completely divisible by the number 2, or you can define it as two numbers that, when multiplied by each other, give the result of 2.  The factors of 2 can be listed as 1 and 2. The factors of 2 have both a positive pair and a negative one. For the negative pair of factors of 2, we need to multiply two negative numbers, i.e., (-2) X (-1) =2.  

Factors of 2 = 1, 2

Positive Factors of 2 in Pairs

The positive factor pairs of 2 are (1, 2).

Positive Pair Factors of 2

Negative Factors of 2 in Pairs

The negative factor pairs of 2 is (-1, -2).

Negative Pair Factors of 2

How to Find the Factors of 2?

To find factors of 2, we need to determine if the given number is a prime number or not. If the given number is a prime number, then it has only two factors: the original number and 1.

If the given number is a composite number, then it has more than two factors. Here, the given number is 2. As a result, the factors of 2 are 2, 1.

To cross-check, we can find factors of 2 using the long division method. The steps to finding factors of 2 using the long division method are explained below.

Step 1: Divide the number 2 by the sequence of natural numbers. Those numbers which are completely divisible by the number 23 and leave no remainder are the numbers known as factors of 2.

Step 2: Since 1 and 2 are the only numbers that are divisible by 2, the factors of 2 are 1 and 2.

  • 2/1 = 2 (Remainder = 0)
  • 2/2 = 1 (Remainder = 1)

Prime Factors of 2

We can find the prime factors of 2 through prime factorization. Let us see the steps below for the prime factorization of 2:

Step 1: To find the prime factors of 2, using the prime factorization method, we can write the prime factors of 2 as 2 = 1 X 2.
Step 2: Now that 2 is a prime number, we cannot factor it further because prime numbers do not have factors other than 1 and the number itself.
Step 3: Therefore, the prime factor of 2 is 2 itself.

Prime Factorization of 2

What Is the Factor Tree of 2?

We can also find the prime factors of the number 2 using the factor tree method. The steps to finding prime factors of number 2 using the factor tree method are given below:

  • Step 1: Place the number 2 at the top of the factor tree and keep splitting until we are left with prime numbers at the end.
  • Step 2: Now, as the tree branches, we will write down the pair factors of 2. Here we are using the pair factor 1, 2, as the first branch of 2.
  • Step 3: Because 1 and 2 are prime numbers that cannot be divided further, they are the end of the tree branch. 

The factor tree of 2 is given below:

Factor tree of 2

Solved Examples

1. How to determine whether 2 is a prime number or a composite number.
First of all, we will have to find out all the factors of 2.
The only factors of 2 are 1 and 2.
A number is said to be “prime” if it has just two factors.
On the other hand, a number is considered composite if it has more than two factors.
Therefore, since 2 has only two factors, we can state that it is a prime number.

2. How to determine the prime factors of 12?
We can calculate all the factors of 12 using prime factorization.
12 can be prime factorized as 2 x 2 x 3.
Prime factors of 12 are 2 and 3, and we see that 2 is a repeated factor.

3. Find the common factors of 4 and 8?
Factors of 4 are 2 and 1.
Factors of 8 are 2 and 1.
So, the common factor of 4 and 8 is 2. Hence, 2 is the only common factor of 4 and 8

4. Help Adam determine the number which when multiplied by -23 gives 23.
The negative factor pair of 23 is (-1,-23)
Therefore when -23 is multiplied by -1, the product is 23.
-23 x -1 = 23

Frequently Asked Questions

What is a factor pair of 2?
Each factor pair consists of two factors that, when multiplied together, produce a specific product. Thus the factor pair of 2 consists of two numbers which when multiplied give out 2, these are (1, 2) or (2, 1).

Whether 2 is a factor of every number, just like 1?
No, unlike 1, 2 is not the factor of every number. Since it is the factor of only even numbers and not odd ones.

What are the multiples of 2?
The numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, etc. are all multiples of 2.

What are the factors of a number?
Factors are the numbers that when multiplied together yield any different number. The term “factor” refers to a number’s exact divisors, and every number has at least two factors.

Identify the two factors of 12.
The formula for factoring 12 into its prime factors is 12 = 2 × 2 × 3
As a result, 12 has only two prime factors, 2 and 3.

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-2/

Written by

Prerit Jain

Share article on

tutor Pic
tutor Pic