Factors of 52
2026-02-28 14:07 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-52

299 Learners

Last updated on December 11, 2025

Factors are the numbers that divide any given number evenly without a 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 52, how they are used in real life, and tips to learn them quickly.

What are the Factors of 52?

The numbers that divide 52 evenly are known as factors of 52.

A factor of 52 is a number that divides the number without remainder.

The factors of 52 are 1, 2, 4, 13, 26, and 52.

Negative factors of 52: -1, -2, -4, -13, -26, and -52.

Prime factors of 52: 2 and 13.

Prime factorization of 52: 2² × 13.

The sum of factors of 52: 1 + 2 + 4 + 13 + 26 + 52 = 98

How to Find Factors of 52?

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

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 52. Identifying the numbers which are multiplied to get the number 52 is the multiplication method.

Step 1: Multiply 52 by 1, 52 × 1 = 52.

Step 2: Check for other numbers that give 52 after multiplying

2 × 26 = 52

4 × 13 = 52

Therefore, the positive factor pairs of 52 are: (1, 52), (2, 26), (4, 13).

All these factor pairs result in 52. For every positive factor, there is a negative factor.

Explore Our Programs

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 in whole numbers as factors.

Factors can be calculated by following a simple division method

Step 1: Divide 52 by 1, 52 ÷ 1 = 52.

Step 2: Continue dividing 52 by the numbers until the remainder becomes 0.

52 ÷ 1 = 52

52 ÷ 2 = 26

52 ÷ 4 = 13

Therefore, the factors of 52 are: 1, 2, 4, 13, 26, 52.

Prime Factors and Prime Factorization

The factors can be found by dividing them with prime numbers.

We can find the prime factors using the following methods:

Using Prime Factorization: In this process, prime factors of 52 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

52 ÷ 2 = 26

26 ÷ 2 = 13

13 ÷ 13 = 1

The prime factors of 52 are 2 and 13.

The prime factorization of 52 is: 2² × 13.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show

Step 1: Firstly, 52 is divided by 2 to get 26.

Step 2: Now divide 26 by 2 to get 13.

Step 3: Here, 13 is a prime number and cannot be divided anymore. So, the prime factorization of 52 is: 2² × 13.

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 52: (1, 52), (2, 26), (4, 13).

Negative factor pairs of 52: (-1, -52), (-2, -26), (-4, -13).

Common Mistakes and How to Avoid Them in Factors of 52

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

Download Worksheets

Problem 1

There are 4 teams and 52 players. How will they divide the players equally among the teams?

Okay, lets begin

Each team will have 13 players.

Explanation

To divide the players equally, we need to divide the total players by the number of teams. 52/4 = 13

Well explained 👍

Problem 2

A garden is rectangular, the length of the garden is 13 meters and the total area is 52 square meters. Find the width.

Okay, lets begin

4 meters.

Explanation

To find the width of the garden, we use the formula, Area = length × width

52 = 13 × width

To find the value of width, we need to shift 13 to the left side.

52/13 = width

Width = 4.

Well explained 👍

Problem 3

There are 26 gift boxes and 52 chocolates. How many chocolates will be in each box?

Okay, lets begin

Each box will have 2 chocolates.

Explanation

To find the chocolates in each box, divide the total chocolates by the number of boxes.

52/26 = 2

Well explained 👍

Problem 4

In a workshop, there are 52 participants, and 13 groups. How many participants are there in each group?

Okay, lets begin

There are 4 participants in each group.

Explanation

Dividing the participants by the total groups, we will get the number of participants in each group.

52/13 = 4

Well explained 👍

Problem 5

52 books need to be arranged on 2 shelves. How many books will go on each shelf?

Okay, lets begin

Each shelf has 26 books.

Explanation

Divide total books by the number of shelves.

52/2 = 26

Well explained 👍

FAQs on Factors of 52

1.What are the factors of 52?

1, 2, 4, 13, 26, 52 are the factors of 52.

2.Mention the prime factors of 52.

The prime factors of 52 are 2² × 13.

3.Is 52 a multiple of 4?

4.Mention the factor pairs of 52.

(1, 52), (2, 26), (4, 13) are the factor pairs of 52.

5.What is the square of 52?

Important Glossaries for Factors of 52

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 52 are 1, 2, 4, 13, 26, and 52.
     
  • Prime factors: The factors that are prime numbers. For example, 2 and 13 are prime factors of 52.
     
  • 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 52 are (1, 52), (2, 26), etc.
     
  • Prime factorization: The process of expressing a number as the product of its prime factors. For 52, it is 2² × 13.
     
  • Negative factors: Factors of a number that are negative, such as -1, -2, -4 in the case of 52.
     

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.