101 LearnersLast updated on May 26th, 2025
Factors of 1087
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 1087, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1087?
The numbers that divide 1087 evenly are known as factors of 1087.
A factor of 1087 is a number that divides the number without remainder.
The factors of 1087 are 1 and 1087.
Negative factors of 1087: -1 and -1087.
Prime factors of 1087: 1087 (since it is a prime number).
Prime factorization of 1087: 1087.
The sum of factors of 1087: 1 + 1087 = 1088
How to Find Factors of 1087?
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 1087. Identifying the numbers which are multiplied to get the number 1087 is the multiplication method.
Step 1: Multiply 1087 by 1, 1087 × 1 = 1087.
Therefore, the positive factor pair of 1087 is: (1, 1087).
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 1087 by 1, 1087 ÷ 1 = 1087.
Since 1087 is prime, the division method confirms it has no other divisors than 1 and itself.
Therefore, the factors of 1087 are: 1 and 1087.
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 a factor tree
Using Prime Factorization: Since 1087 is a prime number, it cannot be broken down into other prime factors.
The prime factorization of 1087 is: 1087.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 1087 is a prime number, it does not break down further.
The prime factorization of 1087 is: 1087.
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 1087: (1, 1087).
Negative factor pairs of 1087: (-1, -1087).
Common Mistakes and How to Avoid Them in Factors of 1087
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
People 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 1087, 1 and 1087 are factors.
Factors of 1087 Examples
Problem 1
There are 1087 apples and 1 basket. How many apples will each basket hold?
The basket will hold 1087 apples.
Explanation
To determine how many apples each basket will hold, divide the total apples by the number of baskets.
1087/1 = 1087
Problem 2
A fence is 1087 meters long, and there is one section. How long is each section?
Each section is 1087 meters long.
Explanation
To find the length of each section, divide the total length by the number of sections.
1087/1 = 1087
Problem 3
There is one container and 1087 liters of water. How much water does the container hold?
The container holds 1087 liters of water.
Explanation
To find how much water the container holds, divide the total water by the number of containers.
1087/1 = 1087
Problem 4
An art piece is divided into 1087 equal parts. How many parts are there?
There are 1087 parts.
Explanation
The art piece is divided into equal parts already, so each part is 1 unit of the total.
1087/1 = 1087
Problem 5
1087 students need to be seated in 1 auditorium. How many students will be in each auditorium?
Each auditorium will have 1087 students.
Explanation
Divide the total number of students by the number of auditoriums.
1087/1 = 1087
FAQs on Factors of 1087
1.What are the factors of 1087?
2.Mention the prime factors of 1087.
3.Is 1087 a multiple of 2?
4.Mention the factor pairs of 1087?
5.What is the square of 1087?
6.How can children in Australia use numbers in everyday life to understand Factors of 1087?
7.What are some fun ways kids in Australia can practice Factors of 1087 with numbers?
8.What role do numbers and Factors of 1087 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1087 skills?
Important Glossaries for Factor of 1087
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1087 are 1 and 1087.
- Prime factors: The factors which are prime numbers. For example, 1087 is a prime factor of itself since it is a prime number
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1087 is (1, 1087).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1087 is a prime number.
- Multiplication method: A way to identify factors by determining which numbers multiply to reach the target number. For example, identifying (1, 1087) as a multiplication pair for 1087.
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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
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