120 LearnersLast updated on May 26th, 2025
Factors of 3087
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 3087, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 3087?
The numbers that divide 3087 evenly are known as factors of 3087.
A factor of 3087 is a number that divides the number without remainder.
The factors of 3087 are 1, 3, 1029, and 3087.
Negative factors of 3087: -1, -3, -1029, and -3087.
Prime factors of 3087: 3 and 343.
Prime factorization of 3087: 3 × 1029.
The sum of factors of 3087: 1 + 3 + 1029 + 3087 = 4120
How to Find Factors of 3087?
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 3087. Identifying the numbers which are multiplied to get the number 3087 is the multiplication method.
Step 1: Multiply 3087 by 1, 3087 × 1 = 3087.
Step 2: Check for other numbers that give 3087 after multiplying 3 × 1029 = 3087
Therefore, the positive factor pairs of 3087 are: (1, 3087), (3, 1029). All these factor pairs result in 3087. 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 3087 by 1, 3087 ÷ 1 = 3087.
Step 2: Continue dividing 3087 by the numbers until the remainder becomes 0.
3087 ÷ 1 = 3087
3087 ÷ 3 = 1029
Therefore, the factors of 3087 are: 1, 3, 1029, and 3087.
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 factor tree
Using Prime Factorization: In this process, prime factors of 3087 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3087 ÷ 3 = 1029
1029 ÷ 3 = 343
The prime factors of 3087 are 3 and 343.
The prime factorization of 3087 is: 3 × 343.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 3087 is divided by 3 to get 1029.
Step 2: Now divide 1029 by 3 to get 343. Here, 343 is a number that cannot be divided by any further prime factor except itself. So, the prime factorization of 3087 is: 3 × 343.
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 3087: (1, 3087), (3, 1029).
Negative factor pairs of 3087: (-1, -3087), (-3, -1029).
Common Mistakes and How to Avoid Them in Factors of 3087
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 3087, 1 and 3087 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 3087 consist of -1, -3, -1029, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 3087/1.5 = 2058, 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 3087 are prime numbers.
For example, 3 is a prime factor of 3087, but it has other factors like 1029.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 3087 correctly and missing key factors.
Factors of 3087 Examples
Problem 1
There are 3 friends and 3087 marbles. How will they divide them equally?
They will get 1029 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
3087/3 = 1029
Problem 2
A field is rectangular, the length of the field is 3 meters and the total area is 3087 square meters. Find the width?
1029 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
3087 = 3 × width
To find the value of width, we need to shift 3 to the left side.
3087/3 = width
Width = 1029.
Problem 3
There are 1029 bags and 3087 candies. How many candies will be in each bag?
Each bag will have 3 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
3087/1029 = 3
Problem 4
In a class, there are 1029 students, and 3 groups. How many students are there in each group?
There are 343 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1029/3 = 343
Problem 5
3087 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 1029 books.
Explanation
Divide total books by shelves.
3087/3 = 1029
FAQs on Factors of 3087
1.What are the factors of 3087?
2.Mention the prime factors of 3087.
3.Is 3087 a multiple of 3?
4.Mention the factor pairs of 3087?
5.What is the square of 3087?
6.How can children in Thailand use numbers in everyday life to understand Factors of 3087?
7.What are some fun ways kids in Thailand can practice Factors of 3087 with numbers?
8.What role do numbers and Factors of 3087 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 3087 skills?
Important Glossaries for Factor of 3087
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3087 are 1, 3, 1029, and 3087.
- Prime factors: The factors which are prime numbers. For example, 3 is a prime factor of 3087.
- 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 3087 are (1, 3087) and (3, 1029).
- Prime factorization: The process of breaking down a number into its prime components. For example, 3087 is 3 × 343.
- Multiplication method: A method to find factors by determining pairs of numbers that multiply to a specific number. For example, pairs that multiply to 3087.
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About BrightChamps in Thailand
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.
