130 LearnersLast updated on May 26th, 2025
Factors of 1559
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1559, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1559?
The numbers that divide 1559 evenly are known as factors of 1559. A factor of 1559 is a number that divides the number without remainder. The factors of 1559 are 1, 7, 223, and 1559.
Negative factors of 1559: -1, -7, -223, and -1559.
Prime factors of 1559: 7 and 223.
Prime factorization of 1559: 7 × 223.
The sum of factors of 1559: 1 + 7 + 223 + 1559 = 1790
How to Find Factors of 1559?
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 1559. Identifying the numbers which are multiplied to get the number 1559 is the multiplication method.
Step 1: Multiply 1559 by 1, 1559 × 1 = 1559.
Step 2: Check for other numbers that give 1559 after multiplying
7 × 223 = 1559
Therefore, the positive factor pairs of 1559 are: (1, 1559) and (7, 223). All these factor pairs result in 1559. 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 1559 by 1, 1559 ÷ 1 = 1559.
Step 2: Continue dividing 1559 by the numbers until the remainder becomes 0.
1559 ÷ 1 = 1559
1559 ÷ 7 = 223
1559 ÷ 223 = 7
Therefore, the factors of 1559 are: 1, 7, 223, and 1559.
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 1559 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1559 ÷ 7 = 223
223 ÷ 223 = 1
The prime factors of 1559 are 7 and 223. The prime factorization of 1559 is: 7 × 223.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1559 is divided by 7 to get 223.
Step 2: Now divide 223 by 223 to get 1. Here, 223 is a prime number, and it cannot be divided anymore. So, the prime factorization of 1559 is: 7 × 223.
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 1559: (1, 1559) and (7, 223).
- Negative factor pairs of 1559: (-1, -1559) and (-7, -223).
Common Mistakes and How to Avoid Them in Factors of 1559
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 1559, 1 and 1559 are also factors.
Factors of 1559 Examples
Problem 1
There are 7 students and 1559 stamps. How will they divide it equally?
They will get 223 stamps each.
Explanation
To divide the stamps equally, we need to divide the total stamps with the number of students.
1559 ÷ 7 = 223
Problem 2
A garden is rectangular, the length of the garden is 223 meters and the total area is 1559 square meters. Find the width?
7 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1559 = 223 × width
To find the value of width, we need to shift 223 to the left side.
1559 ÷ 223 = width
Width = 7.
Problem 3
There are 223 containers and 1559 marbles. How many marbles will be in each container?
Each container will have 7 marbles.
Explanation
To find the marbles in each container, divide the total marbles by the containers.
1559 ÷ 223 = 7
Problem 4
In a library, there are 1559 books, and 7 sections. How many books are there in each section?
There are 223 books in each section.
Explanation
Dividing the books by the total sections, we will get the number of books in each section.
1559 ÷ 7 = 223
Problem 5
1559 apples need to be packed in 223 boxes. How many apples will go in each box?
Each of the boxes has 7 apples.
Explanation
Divide total apples by boxes.
1559 ÷ 223 = 7
FAQs on Factors of 1559
1.What are the factors of 1559?
2.Mention the prime factors of 1559.
3.Is 1559 a multiple of 7?
4.Mention the factor pairs of 1559?
5.What is the square of 1559?
6.How can children in Canada use numbers in everyday life to understand Factors of 1559?
7.What are some fun ways kids in Canada can practice Factors of 1559 with numbers?
8.What role do numbers and Factors of 1559 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1559 skills?
Important Glossaries for Factor of 1559
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1559 are 1, 7, 223, and 1559.
- Prime factors: The factors which are prime numbers. For example, 7 and 223 are prime factors of 1559.
- 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 1559 are (1, 1559) and (7, 223).
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1559 is 7 × 223.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to a given number, such as 7 × 223 = 1559.
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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.
