100 LearnersLast updated on May 26th, 2025
Factors of 52
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
- Finding factors using the division method
- 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 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.
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
- Using factor tree
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.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 52, 1 and 52 are also factors.
Factors of 52 Examples
Problem 1
There are 4 teams and 52 players. How will they divide the players equally among the teams?
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
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.
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.
Problem 3
There are 26 gift boxes and 52 chocolates. How many chocolates will be in each box?
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
Problem 4
In a workshop, there are 52 participants, and 13 groups. How many participants are there in each group?
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
Problem 5
52 books need to be arranged on 2 shelves. How many books will go on each shelf?
Each shelf has 26 books.
Explanation
Divide total books by the number of shelves.
52/2 = 26
FAQs on Factors of 52
1.What are the factors of 52?
2.Mention the prime factors of 52.
3.Is 52 a multiple of 4?
4.Mention the factor pairs of 52.
5.What is the square of 52?
6.How can children in United States use numbers in everyday life to understand Factors of 52?
7.What are some fun ways kids in United States can practice Factors of 52 with numbers?
8.What role do numbers and Factors of 52 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 52 skills?
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.
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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.
