Factors of 1324
2026-02-28 10:52 Diff
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Last updated on December 12, 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.

What are the Factors of 1324?

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

How to Find Factors of 1324?

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 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.

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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 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.

Prime Factors and Prime Factorization

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.

Factor Tree

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).

Common Mistakes and How to Avoid Them in Factors of 1324

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

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Problem 1

There are 4 friends and 1324 marbles. How will they divide them equally?

Okay, lets begin

They will get 331 marbles each.

Explanation

To divide the marbles equally, we need to divide the total marbles by the number of friends.

1324/4 = 331

Well explained 👍

Problem 2

A field is rectangular, the length of the field is 662 meters, and the total area is 1324 square meters. Find the width.

Okay, lets begin

2 meters.

Explanation

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.

Well explained 👍

Problem 3

There are 2 boxes and 1324 candies. How many candies will be in each box?

Okay, lets begin

Each box will have 662 candies.

Explanation

To find the candies in each box, divide the total candies by the boxes.

1324/2 = 662

Well explained 👍

Problem 4

In a class, there are 1324 students, and 331 groups. How many students are there in each group?

Okay, lets begin

There are 4 students in each group.

Explanation

Dividing the students by the total groups, we will get the number of students in each group.

1324/331 = 4

Well explained 👍

Problem 5

1324 books need to be arranged in 4 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 331 books.

Explanation

Divide the total books by shelves.

1324/4 = 331

Well explained 👍

FAQs on Factors of 1324

1.What are the factors of 1324?

1, 2, 4, 331, 662, and 1324 are the factors of 1324.

2.Mention the prime factors of 1324.

The prime factors of 1324 are 2² × 331.

3.Is 1324 a multiple of 4?

4.Mention the factor pairs of 1324?

(1, 1324), (2, 662), (4, 331) are the factor pairs of 1324.

5.What is the square of 1324?

The square of 1324 is 1,752,976.

Important Glossaries for Factors of 1324

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1324 are 1, 2, 4, 331, 662, and 1324.
  • Prime Factors: The factors which are prime numbers. For example, 2 and 331 are prime factors of 1324.
  • 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 1324 are (1, 1324), (2, 662), etc.
  • Prime Factorization: Breaking down a number into its basic prime number components. For 1324, it is 2² × 331.
  • Multiplication Method: A method to find factors by identifying pairs of numbers that multiply to a given number, like 1324.

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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.