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 3110, how they are used in real life, and tips to learn them quickly.
The numbers that divide 3110 evenly are known as factors of 3110.
A factor of 3110 is a number that divides the number without remainder.
The factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, and 3110.
Negative factors of 3110: -1, -2, -5, -10, -311, -622, -1555, and -3110.
Prime factors of 3110: 2, 5, and 311.
Prime factorization of 3110: 2 × 5 × 311.
The sum of factors of 3110: 1 + 2 + 5 + 10 + 311 + 622 + 1555 + 3110 = 5616
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 3110. Identifying the numbers which are multiplied to get the number 3110 is the multiplication method.
Step 1: Multiply 3110 by 1, 3110 × 1 = 3110.
Step 2: Check for other numbers that give 3110 after multiplying
2 × 1555 = 3110
5 × 622 = 3110
10 × 311 = 3110
Therefore, the positive factor pairs of 3110 are: (1, 3110), (2, 1555), (5, 622), (10, 311). All these factor pairs result in 3110. 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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 3110 by 1, 3110 ÷ 1 = 3110.
Step 2: Continue dividing 3110 by the numbers until the remainder becomes 0.
3110 ÷ 1 = 3110
3110 ÷ 2 = 1555
3110 ÷ 5 = 622
3110 ÷ 10 = 311
Therefore, the factors of 3110 are: 1, 2, 5, 10, 311, 622, 1555, 3110.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 3110 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3110 ÷ 2 = 1555
1555 ÷ 5 = 311
311 ÷ 311 = 1
The prime factors of 3110 are 2, 5, and 311.
The prime factorization of 3110 is: 2 × 5 × 311.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 3110 is divided by 2 to get 1555.
Step 2: Now divide 1555 by 5 to get 311.
Step 3: Then divide 311 by 311 to get 1. Here, 311 is the smallest prime number and cannot be divided anymore. So, the prime factorization of 3110 is: 2 × 5 × 311.
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 3110: (1, 3110), (2, 1555), (5, 622), (10, 311).
Negative factor pairs of 3110: (-1, -3110), (-2, -1555), (-5, -622), (-10, -311).
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 5 teams and 3110 points. How will they distribute the points equally?
Each team will get 622 points.
To divide the points equally, we need to divide the total points by the number of teams.
3110/5 = 622
A garden is rectangular, the width of the garden is 10 meters and the total area is 3110 square meters. Find the length?
311 meters.
To find the length of the garden, we use the formula,
Area = length × width
3110 = length × 10
To find the value of length, we need to shift 10 to the left side.
3110/10 = length
Length = 311.
There are 2 baskets and 3110 apples. How many apples will be in each basket?
Each basket will have 1555 apples.
To find the apples in each basket, divide the total apples by the baskets.
3110/2 = 1555
In a school, there are 3110 students, and 311 classes. How many students are there in each class?
There are 10 students in each class.
Dividing the students by the total classes, we will get the number of students in each class.
3110/311 = 10
3110 books need to be arranged in 622 shelves. How many books will go on each shelf?
Each shelf will have 5 books.
Divide total books by shelves.
3110/622 = 5
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.