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Factors of 92 | Prime Factorization of 92 | Factor Tree of 92

Written by Prerit Jain

Updated on: 22 Feb 2023

Factors of 92 | Prime Factorization of 92 | Factor Tree of 92

Factors of 92 | Prime Factorization of 92 | Factor Tree of 92

When two numbers are multiplied together to get the result of 92, they are called factors of 92. The factors can be written in either positive or negative form. In this article, you will learn about factors of 92 using the factor tree method, prime factorization method, and division method.

What Are the Factors of 92?

The numbers that divide the given number 92 without leaving behind any reminder are known as the factors of the given number 92. The factors can be represented in both positive and negative forms. Apart from that, the factors can also be categorized as prime numbers and composite numbers. Composite numbers are the numbers that have more than two factors and prime numbers are the numbers that have two or less than two numbers as factors. Thus, 92 is a composite number as it has more than two factors. And the factors of 92 are 1, 2, 4, 23, 46, and 92.

Factors of 92: 1, 2, 4, 23, 46, and 92.
Negative Factors of 92: -1, -2, -4, -23, -46, and -92.
Prime Factorization of 92: 2 X 2 x 23
Pair Factors of 92: (1, 92), (2, 46), and (4, 23).
Prime Factors of 92: 2, 2, and 23.
Sum of Factors of 92: 168
Sum of Prime Factors of 92: 27
Factors of 92

What Are the Factors of 92 in Pairs?

The factors of 92 can be both positive and negative. The combination of two numbers is called a pair factor of 92. When we multiply the pair factors of 92, the result will always be 92 and we will always get the original product.

Positive Pair Factors of 92

The positive pair factors of 92 are (1, 92), (2, 46), and (4, 23).

Positive Pair Factors of 92

Negative Pair Factors of 92

The negative pair factors of 92 are (-1, -92), (-2, -46), and (-4, -23).

Negative Pair Factors of 92

What Is the Factor Tree of 92?

The prime factors of 92 can also be found using the factor tree method. For this purpose, let’s place 92 at the top of the factor tree. Then split the numbers into their factors and then write the set of the pair factors. This process should be continued till the factors turn into prime numbers. And so finally by identifying all the prime numbers we will get a prime factor of 92. The steps involved in this process are given below:

  • Step 1: Let’s place the number 92 at the top and write down 92 in pairs, that is, 2, 46.
  • Step 2:  We get 46 as the quotient. Now, divide 46 by the smallest prime number which is 2. 46 ÷ 2 = 23
  • Step 3: The branches in the factor tree will now be all the prime numbers. Circling all the branches,  2 x 2 x 23, which are the prime factors of 92.

There are many ways in which we can write the factor tree of 92. Below is an image representation of the factor tree of 92, choosing 2 and 23 as pair factors of 92.

Factor tree of 92

What Is the Prime Factorization of 92?

Before doing the prime factorization method, it’s important to check whether the given number is a prime number or a composite number. Here, 92 is a composite number as it has more than two factors. The steps involved in the prime factorization method are as follows:

  • Step 1: Let’s place the number 92 at the top and write down 92 in pairs, that is, 2 and 46.
  • Step 2:  We get 46 as the quotient. Now, divide 46 by the smallest prime number which is 2. 46 ÷ 2 = 23
  • Step 3: The branches in the factor tree will now be all the prime numbers. Circling all the branches,  1 x 2 x 2 x 23, which are the prime factors of 92.

There are many ways in which we can write the factor tree of 92. Below is an image representation of the factor tree of 92, choosing 2 and 46 as pair factors of 92.

Prime Factorization of 92

How To Find Factors of 92 Through Division Method?

Any numbers that divide 92 without leaving any remainder are known as factors of 92. Through the division method, we can find the factors of 92 by a dividing sequence of numbers. The steps are mentioned below for your clear understanding.

92 ÷ 1 = 92
92 ÷ 2 = 46
92 ÷ 4 = 23
92 ÷ 23 = 4
92 ÷ 46 = 2

Therefore, the factors of 92 are 1, 2, 4, 23, and 46.

Solved Examples of 92

What are the factors of 92?
The factors of 92 are 1, 2, 4, 23, 46, and 92.

What are the prime factors of 92?
The Prime Factors of 92 are 2, 2, and 23.

What is the sum of the factors of 92?
The sum of the factors of 92 is 168.

What are the negative factors of 92?
The negative factors of 92 are -1, -2, -4, -23, -46, and -92.

Frequently Asked Questions

What are the prime factors of 92?
The prime factors of 92 are 2, 2, and 23.

Which choice is a factor of 92?
The factors of 92 are 1, 2, 4, 23, 46, and 92.

What is a multiple of 92?
The multiples of 92 are 92, 184, 276, 368, 460, 552, 644, 736, 828, 920, and so on.

Is 92 a natural number?
Yes, 92 is a natural number.

Is 92 a multiple of 4 yes or no?
Yes, 92 is divisible by 4.

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Prerit Jain

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