110 LearnersLast updated on May 26th, 2025
Factors of 559
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 559, how they are used in real life, and tips to learn them quickly.
What are the Factors of 559?
The numbers that divide 559 evenly are known as factors of 559.
A factor of 559 is a number that divides the number without a remainder.
The factors of 559 are 1, 13, 43, and 559.
Negative factors of 559: -1, -13, -43, and -559.
Prime factors of 559: 13 and 43.
Prime factorization of 559: 13 × 43.
The sum of factors of 559: 1 + 13 + 43 + 559 = 616
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How to Find Factors of 559?
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 559. Identifying the numbers which are multiplied to get the number 559 is the multiplication method.
Step 1: Multiply 559 by 1, 559 × 1 = 559.
Step 2: Check for other numbers that give 559 after multiplying 13 × 43 = 559
Therefore, the positive factor pairs of 559 are: (1, 559) and (13, 43).
All these factor pairs result in 559. 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 that result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 559 by 1, 559 ÷ 1 = 559.
Step 2: Continue dividing 559 by the numbers until the remainder becomes 0.
559 ÷ 1 = 559
559 ÷ 13 = 43
559 ÷ 43 = 13
Therefore, the factors of 559 are: 1, 13, 43, 559.
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 559 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
559 ÷ 13 = 43
43 ÷ 43 = 1
The prime factors of 559 are 13 and 43.
The prime factorization of 559 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, 559 is divided by 13 to get 43.
Step 2: Now divide 43 by 43 to get 1. Here, 43 is a prime number, and cannot be divided anymore. So, the prime factorization of 559 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 559: (1, 559) and (13, 43).
Negative factor pairs of 559: (-1, -559) and (-13, -43).
Common Mistakes and How to Avoid Them in Factors of 559
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 559, 1 and 559 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, and it is important to check whether you have mentioned negative factors.
For example, the factors of 559 include -1, -13, -43, etc.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add a fraction as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 is a factor because 559/1.5 does not result in a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, assuming all the factors of 559 are prime numbers.
For example, 13 and 43 are the prime factors of 559, but it has other factors like 1 and 559.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not breaking 559 as 13 × 43 and missing all the key factors.
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Factors of 559 Examples
Problem 1
There are 13 buses and 559 passengers. How will they be divided equally among the buses?
They will have 43 passengers each.
Explanation
To divide the passengers equally, we need to divide the total passengers by the number of buses.
559/13 = 43
Problem 2
A farmer has a rectangular field with a length of 43 meters and a total area of 559 square meters. Find the width.
13 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
559 = 43 × width
To find the value of width, we need to shift 43 to the left side.
559/43 = width
Width = 13.
Problem 3
There are 559 apples to be packed in 43 boxes. How many apples will be in each box?
Each box will have 13 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
559/43 = 13
Problem 4
In a school, there are 559 students and 13 groups. How many students are there in each group?
There are 43 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
559/13 = 43
Problem 5
559 seedlings need to be planted in 13 rows. How many seedlings will go in each row?
Each row will have 43 seedlings.
Explanation
Divide total seedlings by rows.
559/13 = 43
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FAQs on Factors of 559
1.What are the factors of 559?
2.Mention the prime factors of 559.
3.Is 559 a multiple of 13?
4.Mention the factor pairs of 559?
5.What is the square of 559?
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Important Glossaries for Factor of 559
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 559 are 1, 13, 43, and 559.
- Prime factors: The factors which are prime numbers. For example, 13 and 43 are prime factors of 559.
- 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 559 are (1, 559) and (13, 43).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 559 is 13 × 43.
- Multiple: A number that can be divided by another number without a remainder. For example, 559 is a multiple of 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.
