Factors of 920
2026-02-28 11:01 Diff
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Last updated on December 12, 2025

Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 920, how they are used in real life, and the tips to learn them quickly.

What are the Factors of 920?

The numbers that divide 920 evenly are known as factors of 920. A factor of 920 is a number that divides the number without remainder. The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, and 920.

Negative factors of 920: -1, -2, -4, -5, -8, -10, -20, -23, -40, -46, -92, -115, -184, -230, -460, and -920.

Prime factors of 920: 2, 5, and 23.

Prime factorization of 920: 2³ × 5 × 23.

The sum of factors of 920: 1 + 2 + 4 + 5 + 8 + 10 + 20 + 23 + 40 + 46 + 92 + 115 + 184 + 230 + 460 + 920 = 2160

How to Find Factors of 920?

Factors can be found using different methods. Mentioned below are some commonly used methods:

  1. Finding factors using multiplication
  2. Finding factors using division method
  3. Prime factors and Prime factorization

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 920. Identifying the numbers which are multiplied to get the number 920 is the multiplication method.

Step 1: Multiply 920 by 1, 920 × 1 = 920.

Step 2: Check for other numbers that give 920 after multiplying

2 × 460 = 920

4 × 230 = 920

5 × 184 = 920

8 × 115 = 920

10 × 92 = 920

20 × 46 = 920

23 × 40 = 920

Therefore, the positive factor pairs of 920 are: (1, 920), (2, 460), (4, 230), (5, 184), (8, 115), (10, 92), (20, 46), (23, 40). For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 920 by 1, 920 ÷ 1 = 920.

Step 2: Continue dividing 920 by the numbers until the remainder becomes 0.

920 ÷ 1 = 920

920 ÷ 2 = 460

920 ÷ 4 = 230

920 ÷ 5 = 184

920 ÷ 8 = 115

920 ÷ 10 = 92

920 ÷ 20 = 46

920 ÷ 23 = 40

Therefore, the factors of 920 are: 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920.

Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

Using Prime Factorization: In this process, prime factors of 920 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

920 ÷ 2 = 460

460 ÷ 2 = 230

230 ÷ 2 = 115

115 ÷ 5 = 23

23 ÷ 23 = 1

The prime factors of 920 are 2, 5, and 23. The prime factorization of 920 is: 2³ × 5 × 23.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 920 is divided by 2 to get 460.

Step 2: Now divide 460 by 2 to get 230.

Step 3: Then divide 230 by 2 to get 115.

Step 4: Divide 115 by 5 to get 23. Here, 23 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 920 is: 2³ × 5 × 23.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

  • Positive factor pairs of 920: (1, 920), (2, 460), (4, 230), (5, 184), (8, 115), (10, 92), (20, 46), (23, 40).
  • Negative factor pairs of 920: (-1, -920), (-2, -460), (-4, -230), (-5, -184), (-8, -115), (-10, -92), (-20, -46), (-23, -40).

Common Mistakes and How to Avoid Them in Factors of 920

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

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Problem 1

There are 23 boxes and 920 apples. How will they divide it equally?

Okay, lets begin

They will get 40 apples each.

Explanation

To divide the apples equally, we need to divide the total apples with the number of boxes.

920/23 = 40

Well explained 👍

Problem 2

A garden is rectangular, the length of the garden is 46 meters and the total area is 920 square meters. Find the width?

Okay, lets begin

20 meters.

Explanation

To find the width of the garden, we use the formula,

Area = length × width

920 = 46 × width

To find the value of width, we need to shift 46 to the left side.

920/46 = width

Width = 20.

Well explained 👍

Problem 3

There are 10 baskets and 920 oranges. How many oranges will be in each basket?

Okay, lets begin

Each basket will have 92 oranges.

Explanation

To find the oranges in each basket, divide the total oranges with the baskets.

920/10 = 92

Well explained 👍

Problem 4

In a classroom, there are 920 students, and 5 sections. How many students are there in each section?

Okay, lets begin

There are 184 students in each section.

Explanation

Dividing the students with the total sections, we will get the number of students in each section.

920/5 = 184

Well explained 👍

Problem 5

920 books need to be arranged in 8 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 115 books.

Explanation

Divide total books with shelves.

920/8 = 115

Well explained 👍

FAQs on Factors of 920

1.What are the factors of 920?

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, and 920 are the factors of 920.

2.Mention the prime factors of 920.

The prime factors of 920 are 2³ × 5 × 23.

3.Is 920 a multiple of 23?

4.Mention the factor pairs of 920?

(1, 920), (2, 460), (4, 230), (5, 184), (8, 115), (10, 92), (20, 46), (23, 40) are the factor pairs of 920.

5.What is the square of 920?

Important Glossaries for Factors of 920

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, and 920.
  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 23 are prime factors of 920.
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 920 are (1, 920), (2, 460), etc.
  • Prime factorization: Breaking down a number into its basic prime number components. For example, the prime factorization of 920 is 2³ × 5 × 23.
  • Multiple: A number that can be divided by another number without a remainder. For example, 920 is a multiple of 23.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.