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 1484, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1484 evenly are known as factors of 1484.
A factor of 1484 is a number that divides the number without a remainder.
The factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, and 1484.
Negative factors of 1484: -1, -2, -4, -7, -14, -28, -53, -106, -212, -371, -742, and -1484.
Prime factors of 1484: 2, 7, and 53.
Prime factorization of 1484: 22 × 7 × 53.
The sum of factors of 1484: 1 + 2 + 4 + 7 + 14 + 28 + 53 + 106 + 212 + 371 + 742 + 1484 = 3024
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 1484. Identifying the numbers which are multiplied to get the number 1484 is the multiplication method.
Step 1: Multiply 1484 by 1, 1484 × 1 = 1484.
Step 2: Check for other numbers that give 1484 after multiplying:
2 × 742 = 1484
4 × 371 = 1484
7 × 212 = 1484
14 × 106 = 1484
28 × 53 = 1484
Therefore, the positive factor pairs of 1484 are: (1, 1484), (2, 742), (4, 371), (7, 212), (14, 106), (28, 53).
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 1484 by 1, 1484 ÷ 1 = 1484.
Step 2: Continue dividing 1484 by the numbers until the remainder becomes 0.
1484 ÷ 1 = 1484
1484 ÷ 2 = 742
1484 ÷ 4 = 371
1484 ÷ 7 = 212
1484 ÷ 14 = 106
1484 ÷ 28 = 53
Therefore, the factors of 1484 are: 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484.
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 1484 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1484 ÷ 2 = 742
742 ÷ 2 = 371
371 ÷ 7 = 53
53 ÷ 53 = 1
The prime factors of 1484 are 2, 7, and 53.
The prime factorization of 1484 is: 22 × 7 × 53.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1484 is divided by 2 to get 742.
Step 2: Now divide 742 by 2 to get 371.
Step 3: Then divide 371 by 7 to get 53. Here, 53 is a prime number that cannot be divided anymore. So, the prime factorization of 1484 is: 22 × 7 × 53.
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 1484: (1, 1484), (2, 742), (4, 371), (7, 212), (14, 106), and (28, 53).
Negative factor pairs of 1484: (-1, -1484), (-2, -742), (-4, -371), (-7, -212), (-14, -106), and (-28, -53).
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 14 people and 1484 marbles. How will they divide them equally?
They will get 106 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of people.
1484/14 = 106
A rectangular yard has a length of 53 meters and a total area of 1484 square meters. Find the width.
28 meters.
To find the width of the yard, we use the formula, Area = length × width
1484 = 53 × width
To find the value of width, we need to shift 53 to the left side.
1484/53 = width
Width = 28.
There are 28 containers and 1484 liters of water. How many liters will be in each container?
Each container will have 53 liters.
To find the water in each container, divide the total liters by the number of containers.
1484/28 = 53
In a class, there are 1484 students and 53 groups. How many students are there in each group?
There are 28 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1484/53 = 28
1484 books need to be arranged in 53 shelves. How many books will go on each shelf?
Each of the shelves has 28 books.
Divide total books by shelves.
1484/53 = 28
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.