Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 3 friends and 3087 marbles. How will they divide them equally?
They will get 1029 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of friends.
3087/3 = 1029
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.
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.
There are 1029 bags and 3087 candies. How many candies will be in each bag?
Each bag will have 3 candies.
To find the candies in each bag, divide the total candies by the bags.
3087/1029 = 3
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.
Dividing the students by the total groups, we will get the number of students in each group.
1029/3 = 343
3087 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 1029 books.
Divide total books by shelves.
3087/3 = 1029
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.
: She loves to read number jokes and games.