109 LearnersLast updated on May 26th, 2025
Factors of 1533
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 1533, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1533?
The numbers that divide 1533 evenly are known as factors of 1533. A factor of 1533 is a number that divides the number without a remainder. The factors of 1533 are 1, 3, 9, 13, 27, 39, 51, 117, 171, 459, 511, and 1533.
Negative factors of 1533: -1, -3, -9, -13, -27, -39, -51, -117, -171, -459, -511, and -1533.
Prime factors of 1533: 3, 13, and 39.
Prime factorization of 1533: 3 × 3 × 13 × 13.
The sum of factors of 1533: 1 + 3 + 9 + 13 + 27 + 39 + 51 + 117 + 171 + 459 + 511 + 1533 = 2934
How to Find Factors of 1533?
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 1533. Identifying the numbers which are multiplied to get the number 1533 is the multiplication method.
Step 1: Multiply 1533 by 1, 1533 × 1 = 1533.
Step 2: Check for other numbers that give 1533 after multiplying
3 × 511 = 1533
9 × 171 = 1533
13 × 117 = 1533
27 × 57 = 1533
Therefore, the positive factor pairs of 1533 are: (1, 1533), (3, 511), (9, 171), (13, 117), (27, 57). All these factor pairs result in 1533. 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 1533 by 1, 1533 ÷ 1 = 1533.
Step 2: Continue dividing 1533 by the numbers until the remainder becomes 0.
1533 ÷ 1 = 1533
1533 ÷ 3 = 511
1533 ÷ 9 = 171
1533 ÷ 13 = 117
1533 ÷ 27 = 57
Therefore, the factors of 1533 are: 1, 3, 9, 13, 27, 39, 51, 117, 171, 459, 511, 1533.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1533 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1533 ÷ 3 = 511
511 ÷ 13 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1
The prime factors of 1533 are 3, 13, and 39. The prime factorization of 1533 is: 3 × 3 × 13 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1533 is divided by 3 to get 511.
Step 2: Now divide 511 by 13 to get 39.
Step 3: Then divide 39 by 3 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1533 is: 3 × 3 × 13 × 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 1533: (1, 1533), (3, 511), (9, 171), (13, 117), and (27, 57).
- Negative factor pairs of 1533: (-1, -1533), (-3, -511), (-9, -171), (-13, -117), and (-27, -57).
Common Mistakes and How to Avoid Them in Factors of 1533
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 word. Always remember to include 1 and the number itself. For example, in factors of 1533, 1 and 1533 are also factors.
Factors of 1533 Examples
Problem 1
There are 3 teams and 1533 candies. How will they divide them equally?
Each team will get 511 candies.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
1533/3 = 511
Problem 2
A field is rectangular, the length of the field is 13 meters and the total area is 1533 square meters. Find the width?
117 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1533 = 13 × width
To find the value of width, we need to shift 13 to the left side.
1533/13 = width
Width = 117.
Problem 3
There are 9 boxes and 1533 marbles. How many marbles will be in each box?
Each box will have 171 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1533/9 = 171
Problem 4
In a class, there are 1533 students, and 13 groups. How many students are there in each group?
There are 117 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1533/13 = 117
Problem 5
1533 books need to be arranged in 27 shelves. How many books will go on each shelf?
Each of the shelves has 57 books.
Explanation
Divide total books by shelves.
1533/27 = 57
FAQs on Factors of 1533
1.What are the factors of 1533?
2.Mention the prime factors of 1533.
3.Is 1533 a multiple of 9?
4.Mention the factor pairs of 1533?
5.What is the square of 1533?
Important Glossaries for Factor of 1533
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1533 are 1, 3, 9, 13, 27, 39, 51, 117, 171, 459, 511, and 1533.
- Prime factors: The factors which are prime numbers. For example, 3 and 13 are prime factors of 1533.
- 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 1533 are (1, 1533), (3, 511), etc.
- Multiples: A multiple of a number is the product of that number and an integer. For example, 1533 is a multiple of 9.
- Prime factorization: It is the process of expressing a number as the product of its prime factors. For example, the prime factorization of 1533 is 3 × 3 × 13 × 13.
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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.
