Last updated on May 28th, 2025
Factors are the numbers that divide any given number evenly without a 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 1324, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1324 evenly are known as factors of 1324.
A factor of 1324 is a number that divides the number without a remainder.
The factors of 1324 are 1, 2, 4, 331, 662, and 1324.
Negative factors of 1324: -1, -2, -4, -331, -662, and -1324.
Prime factors of 1324: 2 and 331.
Prime factorization of 1324: 2² × 331.
The sum of factors of 1324: 1 + 2 + 4 + 331 + 662 + 1324 = 2324
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 1324. Identifying the numbers that are multiplied to get the number 1324 is the multiplication method.
Step 1: Multiply 1324 by 1, 1324 × 1 = 1324.
Step 2: Check for other numbers that give 1324 after multiplying
2 × 662 = 1324
4 × 331 = 1324
Therefore, the positive factor pairs of 1324 are: (1, 1324), (2, 662), (4, 331).
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 the simple division method -
Step 1: Divide 1324 by 1, 1324 ÷ 1 = 1324.
Step 2: Continue dividing 1324 by the numbers until the remainder becomes 0.
1324 ÷ 1 = 1324
1324 ÷ 2 = 662
1324 ÷ 4 = 331
Therefore, the factors of 1324 are: 1, 2, 4, 331, 662, 1324.
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 1324 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1324 ÷ 2 = 662
662 ÷ 2 = 331
331 ÷ 331 = 1
The prime factors of 1324 are 2 and 331.
The prime factorization of 1324 is: 2² × 331.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1324 is divided by 2 to get 662.
Step 2: Now divide 662 by 2 to get 331.
Step 3: Here, 331 is a prime number that cannot be divided any further.
So, the prime factorization of 1324 is: 2² × 331.
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 1324: (1, 1324), (2, 662), (4, 331).
Negative factor pairs of 1324: (-1, -1324), (-2, -662), (-4, -331).
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 4 friends and 1324 marbles. How will they divide them equally?
They will get 331 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1324/4 = 331
A field is rectangular, the length of the field is 662 meters, and the total area is 1324 square meters. Find the width.
2 meters.
To find the width of the field, we use the formula,
Area = length × width
1324 = 662 × width
To find the value of the width, we need to shift 662 to the left side.
1324/662 = width
Width = 2.
There are 2 boxes and 1324 candies. How many candies will be in each box?
Each box will have 662 candies.
To find the candies in each box, divide the total candies by the boxes.
1324/2 = 662
In a class, there are 1324 students, and 331 groups. How many students are there in each group?
There are 4 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1324/331 = 4
1324 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 331 books.
Divide the total books by shelves.
1324/4 = 331
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.