120 LearnersLast updated on May 26th, 2025
Factors of 558
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 558, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 558?
The numbers that divide 558 evenly are known as factors of 558.
A factor of 558 is a number that divides the number without remainder.
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, and 558.
Negative factors of 558: -1, -2, -3, -6, -9, -18, -31, -62, -93, -186, -279, and -558.
Prime factors of 558: 2, 3, and 31.
Prime factorization of 558: 2 × 3 × 31.
The sum of factors of 558: 1 + 2 + 3 + 6 + 9 + 18 + 31 + 62 + 93 + 186 + 279 + 558 = 1248
How to Find Factors of 558?
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 558. Identifying the numbers which are multiplied to get the number 558 is the multiplication method.
Step 1: Multiply 558 by 1, 558 × 1 = 558.
Step 2: Check for other numbers that give 558 after multiplying
2 × 279 = 558
3 × 186 = 558
6 × 93 = 558
9 × 62 = 558
18 × 31 = 558
Therefore, the positive factor pairs of 558 are: (1, 558), (2, 279), (3, 186), (6, 93), (9, 62), (18, 31). 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 simple division method -
Step 1: Divide 558 by 1, 558 ÷ 1 = 558.
Step 2: Continue dividing 558 by the numbers until the remainder becomes 0.
558 ÷ 1 = 558
558 ÷ 2 = 279
558 ÷ 3 = 186
558 ÷ 6 = 93
558 ÷ 9 = 62
558 ÷ 18 = 31
Therefore, the factors of 558 are: 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558.
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 558 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
558 ÷ 2 = 279
279 ÷ 3 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1
The prime factors of 558 are 2, 3, and 31.
The prime factorization of 558 is: 2 × 3 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 558 is divided by 2 to get 279.
Step 2: Now divide 279 by 3 to get 93.
Step 3: Then divide 93 by 3 to get 31.
Step 4: As 31 is a prime number, it cannot be divided anymore.
So, the prime factorization of 558 is: 2 × 3 × 31.
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 558: (1, 558), (2, 279), (3, 186), (6, 93), (9, 62), and (18, 31).
Negative factor pairs of 558: (-1, -558), (-2, -279), (-3, -186), (-6, -93), (-9, -62), and (-18, -31).
Common Mistakes and How to Avoid Them in Factors of 558
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 558, 1 and 558 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 558 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 558/1.5 = 372, 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 558 are prime numbers.
For example, 2, 3, and 31 are the prime factors of 558, but it has other factors like 6, 9.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 558 as 2 × 3 × 31 and missing all the key factors.
Factors of 558 Examples
Problem 1
There are 6 teams and 558 apples. How will they divide them equally?
They will get 93 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams. 558/6 = 93
Problem 2
A field is rectangular, the length of the field is 31 meters and the total area is 558 square meters. Find the width?
18 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
558 = 31 × width
To find the value of width, we need to shift 31 to the left side.
558/31 = width
Width = 18.
Problem 3
There are 62 baskets and 558 oranges. How many oranges will be in each basket?
Each basket will have 9 oranges.
Explanation
To find the oranges in each basket, divide the total oranges by the baskets.
558/62 = 9
Problem 4
In a class, there are 558 students, and 18 groups. How many students are there in each group?
There are 31 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
558/18 = 31
Problem 5
558 books need to be arranged in 93 shelves. How many books will go on each shelf?
Each of the shelves has 6 books.
Explanation
Divide total books by shelves.
558/93 = 6
FAQs on Factors of 558
1.What are the factors of 558?
2.Mention the prime factors of 558.
3.Is 558 a multiple of 9?
4.Mention the factor pairs of 558?
5.What is the square of 558?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 558?
7.What are some fun ways kids in United Kingdom can practice Factors of 558 with numbers?
8.What role do numbers and Factors of 558 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 558 skills?
Important Glossaries for Factor of 558
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, and 558.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 31 are prime factors of 558.
- 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 558 are (1, 558), (2, 279), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For 558, it is 2 × 3 × 31.
- Multiple: The product of a number and an integer. For example, 558 is a multiple of 9.
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About BrightChamps in United Kingdom
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.
