Factors of 26 | Prime Factorization of 26 | Factor Tree of 26

The numbers that can divide the given number completely and evenly are known as the factors of that given number. There exist both positive and negative factors for a number. The various factorization methods such as the basic prime factorization method, division method, and factor tree method help to find out the factors and prime factors of that given number. In this article, you can learn about the factors and the factorization methods for the number 26.

What Are the Factors of 26?

The numbers that can divide the given number 26 without any kind of decimal point are known as factors of the number 26. Based on the count of the factors of a number, the number can be classified as the prime number or composite number. Prime numbers are numbers that have two numbers or less than that as their factors and composite numbers are numbers that have more than two numbers as their factors. The factors of the number 26 are 1, 2, 13, and 26.

Factors of 26: 1, 2, 13, and 26.

Negative Factors of 26: -1, -2, -13, and -26.

Prime Factorization of 26: 2 x 13

Pair Factors of 26: (1, 26) and (2, 13)

Prime Factors of 26: 2 and 13

Sum of Factors of 26: 42

Sum of Prime Factors of 26: 15

What Are the Factors of 26?

Pair factors of the number 26 are the numbers which on multiplying with each other should give the value 26. There are both positive and negative factors for a number.

Positive Pair Factors of 26

The positive factors of 26 are (1, 26) and (2, 13).

Negative Pair Factors of 26

The negative factors of 26 are (-1, -26) and (-2, -13).

What Is the Basic Prime Factorization Method of 26?

The basic prime factorization method is one of the most widely used methods to find out the prime factors of a number. This method is commonly used for composite numbers. The steps involved in this process are as follows:

• Step 1: Let’s place the number 26 at the top and then divide it by the smallest number that can divide it without any decimal points in the remainder.
  26 ÷ 2 = 13
• Step 2: Now the number 13 is a prime number and it’s divisible by itself.
  13 ÷ 13 = 1
• Step 3: As of now the quotient is 1 and it’s not further divisible by another number.

Therefore, the factors of 26 are 1, 2, 13, and 26. The given below image represents the prime factorization of 26.

How to Find Factors of 26 Through Division Method?

In the division method, the given number is divided by the smallest prime number ranging from 1 in the number system, and that process is continued until the quotient turns out to be the number 1. Here, let’s see how it works for 26 and the following are the steps involved in it:

• 26 ÷ 1 = 26
• 26 ÷ 2 = 13
• 26 ÷ 13 = 2
• 26 ÷ 26 = 1

Therefore, the factors of 26 are 1, 2, 13, and 26.

What Is the Factor Tree of 26?

A Factor tree is a method used to find out the prime factors of 26. The following are the steps involved in that process:

• Step 1: Let’s place the number 26 at the top of the factor tree. Now write the first pair factors of 26 in its branches and they are 2 and 13.
• Step 2: As the numbers 2 and 13 are prime numbers, they are divisible by themselves.

Therefore, the prime factors of 26 are 2 and 13. The pictorial representation of 26 is given below:

Solved Examples of 26

What are the prime factors of 26?
The prime factors of 26 are 2 and 13.

What are the factors of 26?
The factors of 26 are 1, 2, 13, and 26.

What is the sum of prime factors of 26?
The sum of the prime factors of 26 is 15.

What are the pair factors of 26?
The pair factors of 26 are (1, 26) and (2, 13).

Frequently Asked Questions

What are the factor pairs of 26?
The pair factors of (1, 26) and (2, 13).

What are the factors and multiples of 26?
The factors of 26 are 1, 2, 13, and 26 and the first ten multiples of 26 are 26, 52, 78, 104, 130, 156, 182, 208, 234, and 260.

Is 26 composite or prime?
26 is a composite number, as it has more than two factors.

How do you make 26?
The number 26 is made by the pair factors (1, 26) and (2, 13).

How do you divide 26 by 4?
26 is not perfectly divided by 4. As 26 is not a multiple of 4 and hence when 26 is divided by 4 it leaves decimal points.