155 LearnersLast updated on May 26th, 2025
Factors of 1553
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 1553, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1553?
The numbers that divide 1553 evenly are known as factors of 1553. A factor of 1553 is a number that divides the number without remainder. The factors of 1553 are 1, 11, 17, 23, 187, 253, 391, and 1553.
Negative factors of 1553: -1, -11, -17, -23, -187, -253, -391, and -1553.
Prime factors of 1553: 11, 17, and 23.
Prime factorization of 1553: 11 × 17 × 23.
The sum of factors of 1553: 1 + 11 + 17 + 23 + 187 + 253 + 391 + 1553 = 2436
How to Find Factors of 1553?
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 1553. Identifying the numbers which are multiplied to get the number 1553 is the multiplication method.
Step 1: Multiply 1553 by 1, 1553 × 1 = 1553.
Step 2: Check for other numbers that give 1553 after multiplying
11 × 141 = 1553
17 × 91 = 1553
23 × 67 = 1553
Therefore, the positive factor pairs of 1553 are: (1, 1553), (11, 141), (17, 91), (23, 67). All these factor pairs result in 1553. 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 1553 by 1, 1553 ÷ 1 = 1553.
Step 2: Continue dividing 1553 by the numbers until the remainder becomes 0.
1553 ÷ 1 = 1553
1553 ÷ 11 = 141
1553 ÷ 17 = 91
1553 ÷ 23 = 67
Therefore, the factors of 1553 are: 1, 11, 17, 23, 187, 253, 391, 1553.
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 1553 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1553 ÷ 11 = 141
141 ÷ 11 = 13
13 is a prime number and cannot be divided further by any numbers other than itself and 1. The prime factors of 1553 are 11, 17, and 23. The prime factorization of 1553 is: 11 × 17 × 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, 1553 is divided by 11 to get 141.
Step 2: Now divide 141 by 11 to get 13. Here, 13 is the smallest prime number and cannot be divided anymore. So, the prime factorization of 1553 is: 11 × 17 × 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 1553: (1, 1553), (11, 141), (17, 91), and (23, 67).
- Negative factor pairs of 1553: (-1, -1553), (-11, -141), (-17, -91), and (-23, -67).
Common Mistakes and How to Avoid Them in Factors of 1553
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 1553, 1 and 1553 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 1553 consist of -1, -11, -17, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor. For example, thinking 1.5 as a factor, because 1553/1.5 ≈ 1035.33, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 1553 are prime numbers. For example, 11, 17, and 23 are the prime factors of 1553, but it has other factors like 253, 391.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 1553 as 11 × 17 × 23 and missing all the key factors.
Factors of 1553 Examples
Problem 1
There are 11 teachers and 1553 textbooks. How will they distribute them equally?
They will get 141 textbooks each.
Explanation
To distribute the textbooks equally, we need to divide the total textbooks with the number of teachers.
1553/11 = 141
Problem 2
A garden is rectangular, the length of the garden is 23 meters and the total area is 1553 square meters. Find the width.
67 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1553 = 23 × width
To find the value of width, we need to shift 23 to the left side.
1553/23 = width
Width = 67.
Problem 3
There are 17 containers and 1553 marbles. How many marbles will be in each container?
Each container will have 91 marbles.
Explanation
To find the marbles in each container, divide the total marbles with the containers.
1553/17 = 91
Problem 4
In a class, there are 1553 students, and 23 groups. How many students are there in each group?
There are 67 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1553/23 = 67
Problem 5
1553 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 141 books.
Explanation
Divide total books with shelves.
1553/11 = 141
FAQs on Factors of 1553
1.What are the factors of 1553?
2.Mention the prime factors of 1553.
3.Is 1553 a multiple of 17?
4.Mention the factor pairs of 1553?
5.What is the square of 1553?
Important Glossaries for Factor of 1553
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1553 are 1, 11, 17, 23, 187, 253, 391, and 1553.
- Prime factors: The factors which are prime numbers. For example, 11, 17, and 23 are prime factors of 1553.
- 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 1553 are (1, 1553), (11, 141), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1553 is 11 × 17 × 23.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, 23 × 67 = 1553.
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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.
