121 LearnersLast updated on May 26th, 2025
Factors of 553
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 553, how they are used in real life, and tips to learn them quickly.
What are the Factors of 553?
The numbers that divide 553 evenly are known as factors of 553.
A factor of 553 is a number that divides the number without remainder.
The factors of 553 are 1, 13, 43, and 553.
Negative factors of 553: -1, -13, -43, and -553.
Prime factors of 553: 13 and 43.
Prime factorization of 553: 13 × 43.
The sum of factors of 553: 1 + 13 + 43 + 553 = 610
How to Find Factors of 553?
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 553. Identifying the numbers which are multiplied to get the number 553 is the multiplication method.
Step 1: Multiply 553 by 1, 553 × 1 = 553.
Step 2: Check for other numbers that give 553 after multiplying
13 × 43 = 553
Therefore, the positive factor pairs of 553 are: (1, 553) and (13, 43). 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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 553 by 1, 553 ÷ 1 = 553.
Step 2: Continue dividing 553 by the numbers until the remainder becomes 0.
553 ÷ 1 = 553
553 ÷ 13 = 43
Therefore, the factors of 553 are: 1, 13, 43, 553.
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 553 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
553 ÷ 13 = 43
43 ÷ 43 = 1
The prime factors of 553 are 13 and 43.
The prime factorization of 553 is: 13 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 553 is divided by 13 to get 43.
Step 2: Now divide 43 by 43 to get 1.
Here, 43 is a prime number, that cannot be divided anymore.
So, the prime factorization of 553 is: 13 × 43.
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 553: (1, 553) and (13, 43).
Negative factor pairs of 553: (-1, -553) and (-13, -43).
Common Mistakes and How to Avoid Them in Factors of 553
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 553, 1 and 553 are also factors.
Mistake 2
Missing Negative Factors
We often mention only the positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 553 consist of -1, -13, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 553/1.5 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 553 are prime numbers.
For example, 13 and 43 are the prime factors of 553, but it also has other factors like 1 and 553.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 553 as 13 × 43 and missing key factors.
Factors of 553 Examples
Problem 1
There are 13 gift boxes and 553 candies. How will they divide it equally?
They will get 43 candies each.
Explanation
To divide the candies equally, divide the total candies by the number of gift boxes.
553/13 = 43
Problem 2
A rectangular garden has a length of 13 meters and a total area of 553 square meters. Find the width.
43 meters.
Explanation
To find the width of the garden, use the formula,
Area = length × width
553 = 13 × width
To find the value of width, shift 13 to the left side.
553/13 = width
Width = 43.
Problem 3
There are 43 baskets and 553 apples. How many apples will be in each basket?
Each basket will have 13 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
553/43 = 13
Problem 4
In a class, there are 553 students, and 43 groups. How many students are there in each group?
There are 13 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group
553/43 = 13
Problem 5
553 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 43 books.
Explanation
Divide total books by shelves.
553/13 = 43
FAQs on Factors of 553
1.What are the factors of 553?
2.Mention the prime factors of 553.
3.Is 553 a multiple of 13?
4.Mention the factor pairs of 553?
5.What is the square of 553?
6.How can children in India use numbers in everyday life to understand Factors of 553?
7.What are some fun ways kids in India can practice Factors of 553 with numbers?
8.What role do numbers and Factors of 553 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 553 skills?
Important Glossaries for Factor of 553
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 553 are 1, 13, 43, and 553.
- Prime factors: The factors which are prime numbers. For example, 13 and 43 are prime factors of 553.
- 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 553 are (1, 553) and (13, 43).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 553 is 13 × 43.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method to find factors of 553.
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About BrightChamps in India
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.
