103 LearnersLast updated on May 26th, 2025
Factors of 532
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 532, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 532?
The numbers that divide 532 evenly are known as factors of 532.
A factor of 532 is a number that divides the number without remainder.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, and 532.
Negative factors of 532: -1, -2, -4, -7, -14, -19, -28, -38, -76, -133, -266, and -532.
Prime factors of 532: 2 and 19.
Prime factorization of 532: 2² × 7 × 19.
The sum of factors of 532: 1 + 2 + 4 + 7 + 14 + 19 + 28 + 38 + 76 + 133 + 266 + 532 = 1120
How to Find Factors of 532?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 532. Identifying the numbers which are multiplied to get the number 532 is the multiplication method.
Step 1: Multiply 532 by 1, 532 × 1 = 532.
Step 2: Check for other numbers that give 532 after multiplying
2 × 266 = 532
4 × 133 = 532
7 × 76 = 532
14 × 38 = 532
19 × 28 = 532
Therefore, the positive factor pairs of 532 are: (1, 532), (2, 266), (4, 133), (7, 76), (14, 38), (19, 28).
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 which result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 532 by 1, 532 ÷ 1 = 532.
Step 2: Continue dividing 532 by the numbers until the remainder becomes 0.
532 ÷ 1 = 532
532 ÷ 2 = 266
532 ÷ 4 = 133
532 ÷ 7 = 76
532 ÷ 14 = 38
532 ÷ 19 = 28
Therefore, the factors of 532 are: 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.
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
Using factor tree
Using Prime Factorization: In this process, prime factors of 532 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
532 ÷ 2 = 266
266 ÷ 2 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1
The prime factors of 532 are 2 and 19.
The prime factorization of 532 is: 2² × 7 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 532 is divided by 2 to get 266.
Step 2: Now divide 266 by 2 to get 133.
Step 3: Then divide 133 by 7 to get 19.
Here, 19 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 532 is: 2² × 7 × 19.
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 532: (1, 532), (2, 266), (4, 133), (7, 76), (14, 38), (19, 28).
Negative factor pairs of 532: (-1, -532), (-2, -266), (-4, -133), (-7, -76), (-14, -38), (-19, -28).
Common Mistakes and How to Avoid Them in Factors of 532
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 532, 1 and 532 are also factors.
Factors of 532 Examples
Problem 1
There are 38 students and 532 apples. How will they divide them equally?
They will get 14 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of students.
532/38 = 14
Problem 2
A garden is rectangular, the length of the garden is 19 meters and the total area is 532 square meters. Find the width?
28 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
532 = 19 × width
To find the value of width, we need to shift 19 to the left side.
532/19 = width
Width = 28.
Problem 3
There are 76 boxes and 532 candies. How many candies will be in each box?
Each box will have 7 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
532/76 = 7
Problem 4
In a workshop, there are 532 pieces of wood, and 4 groups. How many pieces are there in each group?
There are 133 pieces in each group.
Explanation
Dividing the pieces of wood by the total groups, we will get the number of pieces in each group.
532/4 = 133
Problem 5
532 chairs need to be arranged in 76 rows. How many chairs will go in each row?
Each of the rows has 7 chairs.
Explanation
Divide total chairs by rows.
532/76 = 7
FAQs on Factors of 532
1.What are the factors of 532?
2.Mention the prime factors of 532.
3.Is 532 a multiple of 4?
4.Mention the factor pairs of 532?
5.What is the square of 532?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 532?
7.What are some fun ways kids in Indonesia can practice Factors of 532 with numbers?
8.What role do numbers and Factors of 532 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 532 skills?
Important Glossaries for Factors of 532
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, and 532.
- Prime factors: The factors which are prime numbers. For example, 2 and 19 are prime factors of 532.
- 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 532 are (1, 532), (2, 266), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 532 can be expressed as 2² × 7 × 19.
- Multiple: A number that can be divided by another number without a remainder. For example, 532 is a multiple of 4.
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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.
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